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

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

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

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

Euler-type integrals for the generalized hypergeometric matrix function

Συγγραφείς: Pal, Ankit, Kumari, Kiran

Θεματικοί όροι: generalized hypergeometric matrix function, matrix functional calculus, gamma and beta matrix function

Σύνδεσμος πρόσβασης: http://yadda.icm.edu.pl/baztech/element/bwmeta1.element.baztech-b2fba5b2-48c6-4098-b4e3-afffbcac3cfd