Extended matrix variate hypergeometric function and its related functions

Συγγραφείς: Bhammar, K. M.^{Aff1, IDs40574025005142_cor1}, Jana, R. K.^Aff1

Πηγή: Bollettino dell'Unione Matematica Italiana. 19(3):681-694

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

Starlike and Convex functions associated with Hypergeometric Matrix functions: Starlike and convex functions associated with hypergeometric matrix functions

Συγγραφείς: Porwal, Saurabh, Mishra, Omendra

Πηγή: Electronic Journal of Mathematical Analysis and Applications. 12:1-7

Θεματικοί όροι: convex function, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), hypergeometric matrix function, starlike function, univalent function, analytic function

Περιγραφή αρχείου: application/xml

A novel Beta matrix function via Wiman matrix function and their applications: A novel beta matrix function via Wiman matrix function and their applications

Συγγραφείς: Nabiullah Khan, Saddam Husain

Πηγή: Analysis. 43:255-266

Θεματικοί όροι: Matrix exponential and similar functions of matrices, Classical hypergeometric functions, \({}_2F_1\), hypergeometric matrix function, beta matrix function, Confluent hypergeometric functions, Whittaker functions, \({}_1F_1\), gamma matrix function, 0101 mathematics, Gamma, beta and polygamma functions, Mittag-Leffler functions and generalizations, 01 natural sciences, confluent hypergeometric matrix function

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7762912
https://doi.org/10.1515/anly-2022-1098

Euler-type integrals for the generalized hypergeometric matrix function

Συγγραφείς: Ankit Pal, Kiran Kumari

Πηγή: Journal of Applied Analysis. 29:359-366

Θεματικοί όροι: gamma and beta matrix function, Generalized hypergeometric series, \({}_pF_q\), Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals), 15A15, 33C05, 33C20, 44A99, Determinants, permanents, traces, other special matrix functions, generalized hypergeometric matrix function, 01 natural sciences, Matrix exponential and similar functions of matrices, Other hypergeometric functions and integrals in several variables, matrix functional calculus, Classical hypergeometric functions, \({}_2F_1\), Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 0101 mathematics, Gamma, beta and polygamma functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2302.14322

Matrix analog of the four‐parameter Mittag‐Leffler function: Matrix analog of the four-parameter Mittag-Leffler function

Συγγραφείς: Ankit Pal, Vinod Kumar Jatav, Ajay Kumar Shukla

Πηγή: Mathematical Methods in the Applied Sciences. 46:15094-15106

Θεματικοί όροι: Matrix exponential and similar functions of matrices, gamma and beta matrix function, matrix functional calculus, Generalized hypergeometric series, \({}_pF_q\), Fractional derivatives and integrals, generalized fractional calculus operators, 0101 mathematics, generalized hypergeometric matrix function, Mittag-Leffler functions and generalizations, Gamma, beta and polygamma functions, 01 natural sciences, Mittag-Leffler functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7793761
https://doi.org/10.1002/mma.9363

A study of generalized hypergeometric Matrix functions via two-parameter Mittag–Leffler matrix function

Συγγραφείς: Jain Shilpi, Goyal Rahul, Oros Georgia Irina, Agarwal Praveen, Momani Shaher

Πηγή: Open Physics, Vol 20, Iss 1, Pp 730-739 (2022)

Θεματικοί όροι: matrix functional calculus, beta matrix function, Physics, QC1-999, gauss hypergeometric matrix function, beta matrix transform and laplace transform, gamma matrix function, mittag–leffler matrix function, 0101 mathematics, 01 natural sciences, confluent hypergeometric matrix function

Σύνδεσμος πρόσβασης: https://doaj.org/article/d882253cd9264394a48a1d8aee529103

On the extended Wright hypergeometric matrix function and its properties

Συγγραφείς: Halil GEZER, Cem KAANOGLU

Πηγή: Volume: 72, Issue: 3 606-617
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

Θεματικοί όροι: Matematik, Wright hypergeometric matrix function, generalized hypergeometric functions, Riemann-Liouville fractional derivative, Mathematical Sciences

Περιγραφή αρχείου: application/pdf

Σύνδεσμος πρόσβασης: https://dergipark.org.tr/tr/pub/cfsuasmas/issue/79978/1147745

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

Περιγραφή αρχείου: application/xml

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

Computation of some properties of the Laguerre type matrix polynomials $L_n^{(\mathcal{H},q)}(z)$: Computation of some properties of the Laguerre type matrix polynomials \(L_n^{(\mathcal{H},q)}(z)\)

Συγγραφείς: Jatav, Vinod, Kumar, Udai, Pal, Ankit

Θεματικοί όροι: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Fractional derivatives and integrals, generating matrix functions, integral images, Determinants, permanents, traces, other special matrix functions, generalized hypergeometric matrix function, matrix polynomial

Περιγραφή αρχείου: application/xml

Solution of fractional kinetic equations involving extended $ (k, \tau) $-Gauss hypergeometric matrix functions

Συγγραφείς: Muajebah Hidan, Mohamed Akel, Hala Abd-Elmageed, Mohamed Abdalla

Πηγή: AIMS Mathematics, Vol 7, Iss 8, Pp 14474-14491 (2022)

Θεματικοί όροι: Matrix function, Matrix (chemical analysis), Symmetric matrix, Evolutionary biology, Mathematical analysis, Quantum mechanics, 01 natural sciences, Geodetic Transformations, QA1-939, FOS: Mathematics, Hypergeometric function, 0101 mathematics, fractional kinetic equation, Biology, Eigenvalues and eigenvectors, Numerical Analysis, Chromatography, Numerical Optimization Techniques, Extension (predicate logic), (k，τ)-gauss hypergeometric matrix function, Total Least Squares Methods and Applications, Applied Mathematics, Physics, Hypergeometric distribution, Pure mathematics, Cantorian-Fractal Theory of Quantum Physics, Statistical and Nonlinear Physics, Generalized hypergeometric function, 16. Peace & justice, Computer science, Programming language, Chemistry, Physics and Astronomy, Function (biology), Mathematical physics, Physical Sciences, Gauss, mellin transform, Hypergeometric function of a matrix argument, Mathematics

Σύνδεσμος πρόσβασης: https://doaj.org/article/4e34ec782de542d7a8d693101014b36b

On generalized Laguerre matrix polynomials

Συγγραφείς: Batahan Raed S., Bathanya A. A.

Πηγή: Acta Universitatis Sapientiae: Mathematica, Vol 10, Iss 1, Pp 32-45 (2018)

Θεματικοί όροι: 15a15, 42c05, Determinants, permanents, traces, other special matrix functions, generalized hypergeometric matrix function, 01 natural sciences, 33c45, Matrix exponential and similar functions of matrices, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Matrices over function rings in one or more variables, three-term recurrence relation, QA1-939, Laguerre matrix polynomials, three terms recurrence relation, gamma matrix function, laguerre matrix polynomials, 0101 mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Mathematics, generalized hypergeometric matrix function and gamma matrix function

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/6435881
https://doi.org/10.1515/ausm-2015-0001
https://zbmath.org/7042968
https://doi.org/10.2478/ausm-2018-0003
https://doaj.org/article/67ef3d8e088842caa893cde079726912

SOME MATRIX FAMILIES OF THE HURWITZ–LERCH ζ-FUNCTIONS AND ASSOCIATED FRACTIONAL KINETIC EQUATIONS: Some matrix families of the Hurwitz-Lerch \(\zeta\)-functions and associated fractional kinetic equations

Συγγραφείς: Muajebah Hidan, Mohamed Akel, Hala Abd-Elmageed, Mohamed Abdalla

Πηγή: Fractals. 30

Θεματικοί όροι: Composite material, fractional kinetic equations, Riemann \(\zeta\)-function, Matrix function, Matrix (chemical analysis), Symmetric matrix, Hurwitz matrix, Evolutionary biology, Hurwitz and Lerch zeta functions, Quantum mechanics, 01 natural sciences, Orthogonal Polynomials, Matrix exponential and similar functions of matrices, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Classical hypergeometric functions, \({}_2F_1\), 0103 physical sciences, FOS: Mathematics, Gamma, beta and polygamma functions, Biology, Anomalous Diffusion Modeling and Analysis, Eigenvalues and eigenvectors, Algebra over a field, Extension (predicate logic), Applied Mathematics, Physics, 4. Education, Statistics, Pure mathematics, 16. Peace & justice, Computer science, Atomic and Molecular Physics, and Optics, Materials science, Programming language, Parity-Time Symmetry in Optics and Quantum Mechanics, Physics and Astronomy, Function (biology), Parametric statistics, extended \(k\)-Lerch \(\zeta\)-matrix function, Modeling and Simulation, Physical Sciences, extended \(k\)-hypergeometric matrix function, Mathematics, Hypergeometric Functions

Περιγραφή αρχείου: application/xml

On certain Kampé de Fériet-like hypergeometric matrix functions

Συγγραφείς: Dwivedi, Ravi, Sahai, Vivek

Πηγή: Asian-European Journal of Mathematics. 16

Θεματικοί όροι: Matrix exponential and similar functions of matrices, matrix functional calculus, confluent and Gauss hypergeometric matrix function, Classical hypergeometric functions, \({}_2F_1\), digamma matrix function, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, Confluent hypergeometric functions, Whittaker functions, \({}_1F_1\), 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml

Fractional operators for the Wright hypergeometric matrix functions

Συγγραφείς: M. Abdalla

Πηγή: Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-14 (2020)

Θεματικοί όροι: Wright hypergeometric matrix function, Fractional integral and differential operators, Matrix recurrence relation, Integral formulae, Mathematics, QA1-939

Περιγραφή αρχείου: electronic resource

Relation: http://link.springer.com/article/10.1186/s13662-020-02704-y; https://doaj.org/toc/1687-1847

Σύνδεσμος πρόσβασης: https://doaj.org/article/23924e29946c435380138a4c4da7557a

Extended Gauss Hypergeometric Matrix Functions: Extended Gauss hypergeometric matrix functions

Συγγραφείς: Abdalla, Mohamed, Bakhet, A.

Πηγή: Iranian Journal of Science and Technology, Transactions A: Science. 42:1465-1470

Θεματικοί όροι: Gauss hypergeometric matrix function, matrix functional calculus, Generalized hypergeometric series, \({}_pF_q\), 0101 mathematics, Kummer hypergeometric matrix function, Gamma, beta and polygamma functions, 01 natural sciences

Περιγραφή αρχείου: application/xml

On Fractional Operators Involving the Incomplete Mittag-Leffler Matrix Function and Its Applications

Συγγραφείς: Ahmed Bakhet, Shahid Hussain, Mohra Zayed

Πηγή: Symmetry
Volume 16
Issue 8
Pages: 963

Θεματικοί όροι: matrix functional calculus, fractional calculus operators, incomplete hypergeometric matrix function, 0101 mathematics, 01 natural sciences, Mittag-Leffler functions

Περιγραφή αρχείου: application/pdf

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

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

Περιγραφή αρχείου: application/xml

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