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 the matrix versions of the k analog of ℑ‐incomplete Gauss hypergeometric functions and associated fractional calculus: On the matrix versions of the \(k\) analog of \(\mathfrak{I}\)-incomplete Gauss hypergeometric functions and associated fractional calculus

Συγγραφείς: Muneera Abdullah Qadha, Sarah Abdullah Qadha, Ahmed Bakhet

Πηγή: Mathematical Methods in the Applied Sciences. 48:1237-1255

Θεματικοί όροι: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), differential formulas, Classical hypergeometric functions, \({}_2F_1\), \(k\)-Pochhammer matrix symbol, Other functions defined by series and integrals, \(k\)-gamma matrix function, Explicit solutions, first integrals of ordinary differential equations, generalized \(\mathfrak{I}\)-Gauss matrix functions, Determinants, permanents, traces, other special matrix functions, fractional kinetic equation

Περιγραφή αρχείου: application/xml

Matrix q-higher-order Mersenne numbers: a basic hypergeometric and transfer-matrix framework

Συγγραφείς: Võ Ɖặng, Phúc^{Aff1, IDs4059002600932y_cor1}

Πηγή: Boletín de la Sociedad Matemática Mexicana: Third Series. 32(3)

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 study on certain properties of generalized M-special matrix functions and its applications.

Συγγραφείς: Khan, Nabiullah¹ (AUTHOR) nukhanmath@gmail.com, Sk, Rakibul¹ (AUTHOR) rakibulsk375@gmail.com

Πηγή: Analysis (0174-4747). Aug2026, Vol. 46 Issue 3, p73-87. 15p.

Θεματικοί όροι: *Matrix functions, *Hypergeometric functions, *Derivatives (Mathematics), *Laplace transformation, *Fractional calculus, *Integrals

Some properties of Ψ-gamma, Ψ-beta and Ψ-hypergeometric matrix functions: Some properties of \(\Psi\)-gamma, \(\Psi\)-beta and \(\Psi\)-hypergeometric matrix functions

Συγγραφείς: Ashish Verma, Komal Singh Yadav, Bhagwat Sharan, D. L. Suthar

Πηγή: Analysis. 44:233-243

Θεματικοί όροι: Matrix exponential and similar functions of matrices, Other hypergeometric functions and integrals in several variables, matrix functional calculus, Classical hypergeometric functions, \({}_2F_1\), Appell, Horn and Lauricella functions, \(\Psi\)-beta function, \(\Psi\)-hypergeometric function, \(\Psi\)-gamma function, 0101 mathematics, Gamma, beta and polygamma functions, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7912330
https://doi.org/10.1515/anly-2023-0068

Quantum derivatives of matrix-valued functions with an application to q-kummer matrix function

Συγγραφείς: Dwivedi, Ravi^Aff1, Sanjhira, Reshma^{Aff2, IDs11565026007737_cor1}, Hang, Peng-Cheng^Aff3, Luo, Min-Jie^Aff3

Πηγή: ANNALI DELL'UNIVERSITA' DI FERRARA: SEZIONE VII - SCIENZE MATEMATICHE. 72(4)

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

Investigation of Fractional Calculus for Extended Wright Hypergeometric Matrix Functions: Investigation of fractional calculus for extended Wright hypergeometric matrix functions

Συγγραφείς: Mohamed Niyaz, Ahmed H. Soliman, Ahmed Bakhet

Πηγή: Abstract and Applied Analysis, Vol 2023 (2023)

Θεματικοί όροι: Composite material, Barnes integral, Matrix function, Confluent hypergeometric function, Matrix (chemical analysis), Symmetric matrix, Mittag-Leffler functions and generalizations, 01 natural sciences, Quantum mechanics, Orthogonal Polynomials, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Classical hypergeometric functions, \({}_2F_1\), Fractional derivatives and integrals, QA1-939, FOS: Mathematics, Hypergeometric identity, Hypergeometric function, 0101 mathematics, Gamma, beta and polygamma functions, Matrix Algorithms and Iterative Methods, Bilateral hypergeometric series, Eigenvalues and eigenvectors, Algebra over a field, Applied Mathematics, Physics, Pure mathematics, Wright, Generalized hypergeometric function, Basic hypergeometric series, Applied mathematics, Computer science, Atomic and Molecular Physics, and Optics, Materials science, Programming language, Parity-Time Symmetry in Optics and Quantum Mechanics, Computational Theory and Mathematics, Physics and Astronomy, Physical Sciences, Computer Science, Hypergeometric function of a matrix argument, Mathematics, Hypergeometric Functions

Περιγραφή αρχείου: application/xml; text/xhtml

Σύνδεσμος πρόσβασης: https://doaj.org/article/ab8cb2fbd3364e648dde6b3013aa51b4

On the matrix version of new extended Gauss, Appell and Lauricella hypergeometric functions.

Συγγραφείς: Bajpai, Saurabh¹ s.bjp.maths.123@gmail.com, Dwivedi, Ravi² dwivedir999@gmail.com, Verma, Ashish¹ vashish.lu@gmail.com

Πηγή: Nonlinear Studies. 2025, Vol. 32 Issue 4, p1517-1531. 15p.

Θεματικοί όροι: *Matrix functions, *Hypergeometric functions, *Integral representations, *Gamma functions, *Gaussian function, *Beta functions

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

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

Further investigations on the two variables second Appell hypergeometric matrix function

Συγγραφείς: Mohamed Abdalla, Hala Abd-Elmageed, Mahmoud Abul-Ez, Mohra Zayed

Πηγή: Quaestiones Mathematicae; Vol. 46 No. 3 (2023); 519-536

Θεματικοί όροι: 0101 mathematics, Appell hypergeometric matrix functions, generating matrix functions, recur- sion formulae, differentiation formulas, 01 natural sciences

Περιγραφή αρχείου: application/pdf

Σύνδεσμος πρόσβασης: https://www.ajol.info/index.php/qm/article/view/246433

Investigation for the pRq-hypergeometric matrix functions and associated properties.

Συγγραφείς: Bajpai, Saurabh¹ s.bjp.maths.123@gmail.com, Verma, Ashish¹ vashish.lu@gmail.com

Πηγή: Nonlinear Studies. 2025, Vol. 32 Issue 3, p1115-1128. 14p.

Θεματικοί όροι: *Matrix functions, *Hypergeometric functions, *Integral representations, *Calculus

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

Investigation for the pRq-hypergeometric matrix functions and associated properties.

Συγγραφείς: Bajpai, Saurabh, Verma, Ashish

Πηγή: Nonlinear Studies; 2025, Vol. 32 Issue 3, p1115-1128, 14p

Θεματικοί όροι: Matrix functions, Hypergeometric functions, Integral representations, Calculus

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

On the incomplete fourth Appell hypergeometric matrix functions Υ₄ and Γ₄

Συγγραφείς: Ashish Verma, Komal Singh Yadav, Raj Karan Patel

Πηγή: Proyecciones (Antofagasta). 43:539-553

Some Results on the Extended Hypergeometric Matrix Functions and Related Functions: Some results on the extended hypergeometric matrix functions and related functions

Συγγραφείς: Mohamed Abdalla, Sahar Ahmed Idris, Ibrahim Mekawy

Πηγή: Journal of Mathematics, Vol 2021 (2021)

Θεματικοί όροι: Appell series, Composite material, Barnes integral, Matrix function, Confluent hypergeometric function, Matrix (chemical analysis), Symmetric matrix, Euler's formula, Mathematical analysis, Quantum mechanics, Gene, Biochemistry, 01 natural sciences, Orthogonal Polynomials, Convergence Analysis of Iterative Methods for Nonlinear Equations, Classical hypergeometric functions, \({}_2F_1\), QA1-939, FOS: Mathematics, Hypergeometric identity, Hypergeometric function, 0101 mathematics, Gamma, beta and polygamma functions, Matrix Algorithms and Iterative Methods, Bilateral hypergeometric series, Eigenvalues and eigenvectors, Numerical Analysis, Algebra over a field, Applied Mathematics, Physics, Pure mathematics, Generalized hypergeometric function, Basic hypergeometric series, Materials science, Chemistry, Computational Theory and Mathematics, Physical Sciences, Computer Science, Transformation (genetics), Hypergeometric function of a matrix argument, Mathematics, Hypergeometric Functions, Matrix Computations

Περιγραφή αρχείου: application/xml; text/xhtml

Σύνδεσμος πρόσβασης: https://doaj.org/article/89414bf960304e219386dd3aabf6f20f

Euler-type integrals for the generalized hypergeometric matrix function

Συγγραφείς: Pal, Ankit, Kumari, Kiran

Θεματικοί όροι: Mathematics - Classical Analysis and ODEs, 15A15, 33C05, 33C20, 44A99

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