On Shively’s Pseudo Laguerre Type Matrix Polynomials

Συγγραφείς: Jatav, Vinod Kumar^Aff1, Pal, Ankit^Aff1, Shukla, Ajay Kumar^{Aff2, IDs40010025009805_cor1}

Πηγή: Proceedings of the National Academy of Sciences, India Section A: Physical Sciences. 96(3):377-384

Some new forms and properties of Legendre matrix polynomials with two variables

Συγγραφείς: Khammash Ghazi S., Kamarujjama M., Nadarajah Saralees, Al-Zhour Zeyad

Πηγή: Demonstratio Mathematica, Vol 59, Iss 1, Pp 269-288 (2026)

Θεματικοί όροι: differential matrix recurrence relation, generating matrix function, hermite matrix polynomials of two variables, hypergeometric matrix function, legendre matrix partial differential equation, 15a60, 33c45, 33e20, 33c60, 33c25, Mathematics, QA1-939

Περιγραφή αρχείου: electronic resource

Relation: https://doaj.org/toc/2391-4661

Σύνδεσμος πρόσβασης: https://doaj.org/article/372508255ab74747a1d86a887d5d1f73

On matrix polynomials in two variables, \(L_n^{(M, N, \delta, \xi, \lambda, \eta)}(x, y)\)

Συγγραφείς: Jatav, Vinod Kumar, Shukla, Ajay Kumar

Θεματικοί όροι: Matrix exponential and similar functions of matrices, Other hypergeometric functions and integrals in several variables, generating matrix function, Generalized hypergeometric series, \({}_pF_q\), Kampé de Fériet matrix series, Determinants, permanents, traces, other special matrix functions, generalized hypergeometric matrix function, matrix polynomial

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Σύνδεσμος πρόσβασης: https://zbmath.org/8062510

Some Results of R-Matrix Functions and Their Fractional Calculus

Συγγραφείς: Mohra Zayed, Ahmed Bakhet

Πηγή: Fractal and Fractional, Vol 9, Iss 2, p 82 (2025)

Θεματικοί όροι: fractional integral and derivative, generating matrix function, integral representation, matrix ρν-transform function, Thermodynamics, QC310.15-319, Mathematics, QA1-939, Analysis, QA299.6-433

Περιγραφή αρχείου: electronic resource

Relation: https://www.mdpi.com/2504-3110/9/2/82; https://doaj.org/toc/2504-3110

Σύνδεσμος πρόσβασης: https://doaj.org/article/dc847ff1d9c442019d686df8c28de8a0

Polynomials

Συνεισφορές: Ryoo, Cheon-Seoung

Θεματικοί όροι: differential equations, heat equation, Hermite Kampé de Fériet polynomials, Hermite polynomials, generating functions, degenerate Bernstein polynomials, degenerate Bernstein operators, degenerate Euler polynomials, variational methods, fractional Choquard equation, ground state solution, vanishing potential, positively quadratically hyponormal, quadratically hyponormal, unilateral weighted shift, recursively generated, Fubini polynomials, Euler polynomials, Bernoulli polynomials, truncated exponential polynomials, Stirling numbers of the second kind, differential equations, Bell polynomials, r-Bell polynomials, (r, β)-Bell polynomials, zeros, Möbius function, divisor functions, Euler totient function, hydraulic resistance, pipe flow friction, Colebrook equation, Colebrook–White experiment, floating-point computations, approximations, Padé polynomials, symbolic regression, orthogonal polynomials, difference-differential operator, supersymmetry, Konhauser matrix polynomial, generating matrix function, integral representation, fractional integral, degenerate Fubini polynomials, Stirling numbers, Research and information: general, Mathematics and Science

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Σύνδεσμος πρόσβασης: https://directory.doabooks.org/handle/20.500.12854/69193
https://mdpi.com/books/pdfview/book/2965

Some New Results for Jacobi Matrix Polynomials

Συγγραφείς: ÇEKİM, Bayram, ALTIN, Abdullah, AKTAŞ, Rabia

Πηγή: Filomat, 2013 Jan 01. 27(4), 713-719.

Σύνδεσμος πρόσβασης: https://www.jstor.org/stable/24896400

Quasi-monomiality and operational identities for Laguerre–Konhauser-type matrix polynomials and their applications: Quasi-monomiality and operational identities for Laguerre-Konhauser-type matrix polynomials and their applications

Συγγραφείς: Bin-Saad, Maged G., Mohsen, Fadhle B. F.

Πηγή: Acta et Commentationes Universitatis Tartuensis de Mathematica. 22:13-22

Θεματικοί όροι: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), generating matrix function, hypergeometric matrix function, operational identities, Norms of matrices, numerical range, applications of functional analysis to matrix theory, differential equations, 0101 mathematics, Laguerre and Konhauser matrix polynomials, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/6954061
https://doi.org/10.12697/acutm.2018.22.02

New generating functions for the Konhauser matrix polynomials

Συγγραφείς: ERKUŞ ERKUŞ, Esra, ÇEKİM, Bayram Bayram

Πηγή: Volume: 63, Issue: 1 35-41
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

Θεματικοί όροι: Konhauser matrix polynomials, multilinear generating matrix function, multilateral generating matrix function, jacobi matrix polynomials, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/pdf

Σύνδεσμος πρόσβασης: https://dergipark.org.tr/tr/download/article-file/773725
https://avesis.gazi.edu.tr/publication/details/0f64c482-d2c9-421d-96e1-f9f2ecb1fa1d/oai
https://dergipark.org.tr/tr/pub/cfsuasmas/issue/47419/598429

On 2-Variables Konhauser Matrix Polynomials and Their Fractional Integrals

Συγγραφείς: Ahmed Bakhet, Fuli He

Πηγή: Mathematics, Vol 8, Iss 2, p 232 (2020)

Θεματικοί όροι: konhauser matrix polynomial, generating matrix function, integral representation, fractional integral, Mathematics, QA1-939

Relation: https://www.mdpi.com/2227-7390/8/2/232; https://doaj.org/toc/2227-7390; https://doaj.org/article/28e185e68b644b7b97f5192684f76b50

Διαθεσιμότητα: https://doi.org/10.3390/math8020232
https://doaj.org/article/28e185e68b644b7b97f5192684f76b50

On a multivariable extension of Jacobi matrix polynomials

Συγγραφείς: Fatma Tasdelen, Bayram Çekim, Rabia Aktas

Πηγή: Computers & Mathematics with Applications. 61:2412-2423

Θεματικοί όροι: multilinear and multilateral generating matrix functions, Generating matrix function, Recurrence relation, 01 natural sciences, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), generating matrix function, Computational Mathematics, Multilinear and multilateral generating matrix functions, Computational Theory and Mathematics, Modelling and Simulation, recurrence relation, Hermitian, skew-Hermitian, and related matrices, 0101 mathematics, Jacobi matrix polynomials

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://avesis.gazi.edu.tr/publication/details/520bb6e3-b55f-47bb-a38c-209c9ffccc2c/oai

Some relations on Humbert matrix polynomials: Some relations on Humbert matrix polynomials.

Συγγραφείς: Ayman Shehata

Πηγή: Mathematica Bohemica, Vol 141, Iss 4, Pp 407-429 (2016)

Θεματικοί όροι: hypergeometric matrix function, Other functions defined by series and integrals, 02 engineering and technology, 01 natural sciences, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), matrix functional calculus, generating matrix function, matrix differential equation, QA1-939, 0202 electrical engineering, electronic engineering, information engineering, Norms of matrices, numerical range, applications of functional analysis to matrix theory, 0101 mathematics, Spherical harmonics, Humbert matrix polynomials, Mathematics

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Σύνδεσμος πρόσβασης: http://dml.cz/bitstream/handle/10338.dmlcz/145954/MathBohem_141-2016-4_1.pdf
https://doaj.org/article/2bfbfd2073c1428aa7be44634cd6e60d

A New Extension of Generalized Hermite Matrix Polynomials: A new extension of generalized Hermite matrix polynomials

Συγγραφείς: Upadhyaya, Lalit Mohan, Shehata, Ayman

Πηγή: Bulletin of the Malaysian Mathematical Sciences Society. 38:165-179

Θεματικοί όροι: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), generating matrix function, matrix recurrence relations, Other functions defined by series and integrals, Norms of matrices, numerical range, applications of functional analysis to matrix theory, generalized Chebyshev and Legendre matrix polynomials, 0101 mathematics, 16. Peace & justice, generalized Hermite matrix polynomials, 01 natural sciences

Περιγραφή αρχείου: application/xml

New matrix formulas for Laguerre matrix polynomials

Συγγραφείς: Altın, Abdullah, ÇEKİM, BAYRAM

Πηγή: Journal of Classical Analysis. :59-67

Θεματικοί όροι: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), generating matrix function, beta matrix function, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Laguerre matrix polynomials, Jacobi matrix polynomials

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://files.ele-math.com/abstracts/jca-03-05-abs.pdf
https://zbmath.org/7032160
https://doi.org/10.7153/jca-03-05
https://avesis.gazi.edu.tr/publication/details/f4ae1068-f525-4254-9be2-ac4c789e78cb/oai

A comment on Generating matrix functions for Chebyshev matrix polynomials of the second type

Συγγραφείς: SOLER, V.

Πηγή: Volume: 45, Issue: 1 91-93
Hacettepe Journal of Mathematics and Statistics

Θεματικοί όροι: Matematik, 0101 mathematics, 01 natural sciences, Erratum, Generating matrix function, Chebyshev matrix polynomials, Mathematical Sciences

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Σύνδεσμος πρόσβασης: https://dergipark.org.tr/tr/pub/hujms/issue/43484/524469

Chebyshev-type matrix polynomials and integral transforms

Συγγραφείς: KARGİN, Levent, KURT, Veli

Πηγή: Volume: 44, Issue: 2 341-350
Hacettepe Journal of Mathematics and Statistics

Θεματικοί όροι: Matematik, Chebyshev matrix polynomials of the second kind, Generating matrix function, Matrix differential equation, 0101 mathematics, 01 natural sciences, Mathematical Sciences

Περιγραφή αρχείου: application/pdf

Σύνδεσμος πρόσβασης: https://dergipark.org.tr/tr/pub/hujms/issue/49431/530810

A comment on 'Generating matrix functions for Chebyshev matrix polynomials of the second type'

Συγγραφείς: Soler, V.

Πηγή: Volume: 45, Issue: 191-93 ; 2651-477X ; Hacettepe Journal of Mathematics and Statistics

Θεματικοί όροι: Erratum, Generating matrix function, Chebyshev matrix polynomials, Mathematical Sciences, Matematik

Περιγραφή αρχείου: application/pdf

Relation: https://dergipark.org.tr/tr/download/article-file/644873; https://dergipark.org.tr/tr/pub/hujms/issue/43484/524469

Διαθεσιμότητα: https://dergipark.org.tr/tr/pub/hujms/issue/43484/524469

Some relations on Humbert matrix polynomials

Συγγραφείς: Shehata, Ayman

Θεματικοί όροι: keyword:hypergeometric matrix function, keyword:Humbert matrix polynomials, keyword:matrix functional calculus, keyword:generating matrix function, keyword:matrix differential equation, msc:15A60, msc:33C45, msc:33C55, msc:33E20

Περιγραφή αρχείου: application/pdf

Relation: mr:MR3576790; zbl:Zbl 06674853; reference:[1] Aktaş, R.: A new multivariable extension of Humbert matrix polynomials.AIP Publishing LLC Rhodes, Greece AIP Conference Proceedings 1558: Proc. Int. Conf. on Numerical Analysis and Applied Mathematics (2013), 1128-1131 T. Simos et al. \DOI 10.1063/1.4825706. 10.1063/1.4825706; reference:[2] Aktaş, R.: A note on multivariable Humbert matrix polynomials.Gazi Univ. J. Sci. 27 (2014), 747-754.; reference:[3] Aktaş, R., Çekim, B., Çevik, A.: Extended Jacobi matrix polynomials.Util. Math. 92 (2013), 47-64. MR 3136666; reference:[4] Aktaş, R., Çekim, B., Şahin, R.: The matrix version for the multivariable Humbert polynomials.Miskolc Math. Notes 13 (2012), 197-208. Zbl 1274.33009, MR 3002623, 10.18514/MMN.2012.356; reference:[5] Altın, A., Çekim, B.: Generating matrix functions for Chebyshev matrix polynomials of the second kind.Hacet. J. Math. Stat. 41 (2012), 25-32. Zbl 1259.33014, MR 2976908; reference:[6] Altın, A., Çekim, B.: Some properties associated with Hermite matrix polynomials.Util. Math. 88 (2012), 171-181. Zbl 1262.15023, MR 2975830; reference:[7] Altın, A., Çekim, B.: Some miscellaneous properties for Gegenbauer matrix polynomials.Util. Math. 92 (2013), 377-387. Zbl 1293.33007, MR 3136694; reference:[8] Çekim, B., Altın, A., Aktaş, R.: Some relations satisfied by orthogonal matrix polynomials.Hacet. J. Math. Stat. 40 (2011), 241-253. Zbl 1229.33012, MR 2839191; reference:[9] Çekim, B., Altın, A., Aktaş, R.: Some new results for Jacobi matrix polynomials.Filomat 27 (2013), 713-719. MR 3243979, 10.2298/FIL1304713C; reference:[10] Defez, E., Jódar, L.: Some applications of the Hermite matrix polynomials series expansions.J. Comput. Appl. Math. 99 (1998), 105-117. Zbl 0929.33006, MR 1662687, 10.1016/S0377-0427(98)00149-6; reference:[11] Defez, E., Jódar, L.: Chebyshev matrix polynomials and second order matrix differential equations.Util. Math. 61 (2002), 107-123. Zbl 0998.15034, MR 1899321; reference:[12] Defez, E., Jódar, L., Law, A.: Jacobi matrix differential equation, polynomial solutions, and their properties.Comput. Math. Appl. 48 (2004), 789-803. Zbl 1069.33007, MR 2105252, 10.1016/j.camwa.2004.01.011; reference:[13] Dunford, N., Schwartz, J. T.: Linear Operators. Part I, General Theory.Pure and Applied Mathematics 7 A Wiley-Interscience Publishers, John Wiley & Sons, New York (1958). MR 1009162; reference:[14] James, A. T.: Special functions of matrix and single argument in statistics.Theory and Application of Special Functions, Proc. Advanced Sem., Math. Res. Center, Madison, Wis. R. A. Askey Academic Press, New York (1975), 497-520. Zbl 0326.33010, MR 0402145; reference:[15] Jódar, L., Company, R.: Hermite matrix polynomials and second order matrix differential equations.Approximation Theory Appl. 12 (1996), 20-30. MR 1465570; reference:[16] Jódar, L., Company, R., Ponsoda, E.: Orthogonal matrix polynomials and systems of second order differential equations.Differ. Equ. Dyn. Syst. 3 (1995), 269-288. Zbl 0892.33004, MR 1386749; reference:[17] Jódar, L., Cortés, J. C.: On the hypergeometric matrix function.J. Comput. Appl. Math. 99 (1998), 205-217. Zbl 0933.33004, MR 1662696, 10.1016/S0377-0427(98)00158-7; reference:[18] Jódar, L., Cortés, J. C.: Closed form general solution of the hypergeometric matrix differential equation.Math. Comput. Modelling 32 (2000), 1017-1028. Zbl 0985.33006, MR 1799616, 10.1016/S0895-7177(00)00187-4; reference:[19] Jódar, L., Defez, E.: On Hermite matrix polynomials and Hermite matrix functions.Approximation Theory Appl. 14 (1998), 36-48. MR 1651470; reference:[20] Jódar, L., Sastre, J.: On Laguerre matrix polynomials.Util. Math. 53 (1998), 37-48. Zbl 0990.33008, MR 1622055; reference:[21] Kargin, L., Kurt, V.: Some relations on Hermite matrix polynomials.Math. Comput. Appl. 18 (2013), 323-329. MR 3113139; reference:[22] Khammash, G. S., Shehata, A.: On Humbert matrix polynomials.Asian J. Current Eng. Maths. 1 (2012), 232-240 http://innovativejournal.in/index.php/ajcem/article/view/104/96.; reference:[23] Khan, S., Hassan, N. A. Makboul: 2-variable Laguerre matrix polynomials and Lie-algebraic techniques.J. Phys. A, Math. Theor. 43 (2010), Article ID 235204, 21 pages. MR 2646680, 10.1088/1751-8113/43/23/235204; reference:[24] Metwally, M. S., Mohamed, M. T., Shehata, A.: On Hermite-Hermite matrix polynomials.Math. Bohem. 133 (2008), 421-434. Zbl 1199.15079, MR 2472489; reference:[25] Sastre, J., Jódar, L.: On Laguerre matrix polynomial series.Util. Math. 71 (2006), 109-130. Zbl 1106.33011, MR 2278826; reference:[26] Shehata, A.: On Tricomi and Hermite-Tricomi matrix functions of complex variable.Commun. Math. Appl. 2 (2011), 97-109. Zbl 1266.33012, MR 3000027; reference:[27] Shehata, A.: A new extension of Gegenbauer matrix polynomials and their properties.Bull. Int. Math. Virtual Inst. 2 (2012), 29-42. MR 3149829; reference:[28] Shehata, A.: On pseudo Legendre matrix polynomials.Int. J. Math. Sci. Eng. Appl. 6 (2012), 251-258. MR 3057762; reference:[29] Shehata, A.: On Rainville's matrix polynomials.Sylwan J. 158 (2014), 158-178. MR 3248615; reference:[30] Shehata, A.: On Rice's matrix polynomials.Afr. Mat. 25 (2014), 757-777. Zbl 1321.15041, MR 3248615, 10.1007/s13370-013-0149-3; reference:[31] Shehata, A.: New kinds of hypergeometric matrix functions.British Journal of Mathematics and Computer Science 5 (2015), 92-102 \DOI 10.9734/BJMCS/2015/11492. 10.9734/BJMCS/2015/11492; reference:[32] Shehata, A.: On a new family of the extended generalized Bessel-type matrix polynomials.Mitteilungen Klosterneuburg J. 65 (2015), 100-121.; reference:[33] Shehata, A.: On modified Laguerre matrix polynomials.J. Nat. Sci. Math. 8 (2015), 153-166. MR 3404349; reference:[34] Taşdelen, F., Çekim, B., Aktaş, R.: On a multivariable extension of Jacobi matrix polynomials.Comput. Math. Appl. 61 (2011), 2412-2423. Zbl 1221.33022, MR 2794989, 10.1016/j.camwa.2011.02.019; reference:[35] Upadhyaya, L. M., Shehata, A.: On Legendre matrix polynomials and its applications.Int. Trans. Math. Sci. Comput. 4 (2011), 291-310. MR 3057762; reference:[36] Upadhyaya, L. M., Shehata, A.: A new extension of generalized Hermite matrix polynomials.Bull. Malays. Math. Sci. Soc. (2) 38 (2015), 165-179. Zbl 1311.33008, MR 3394046, 10.1007/s40840-014-0010-3; reference:[37] Varma, S., Çekim, B., Yeşildal, F. Taşdelen: On Konhauser matrix polynomials.Ars Comb. 100 (2011), 193-204. MR 2798172; reference:[38] Varma, S., Taşdelen, F.: Biorthogonal matrix polynomials related to Jacobi matrix polynomials.Comput. Math. Appl. 62 (2011), 3663-3668. Zbl 1236.15048, MR 2852088, 10.1016/j.camwa.2011.08.063

Διαθεσιμότητα: https://hdl.handle.net/10338.dmlcz/145954

Some new results for Jacobi matrix polynomials

Συγγραφείς: Çekim Bayram, Altin Abdullah, Aktaş Rabia

Θεματικοί όροι: Jacobi Matrix Polynomials, Recurrence Relation, Generating Matrix Function, Integral Representation

Relation: http://dx.doi.org/10.2298/FIL1304713C

Διαθεσιμότητα: https://doi.org/10.2298/FIL1304713C