Search Results - Applications of basic hypergeometric functions*

Applications of Basic Hypergeometric Functions

Authors: Andrews, George E.

Source: SIAM Review, 1974 Oct 01. 16(4), 441-484.

Access URL: https://www.jstor.org/stable/2028690

Application of basic hypergeometric series: Application of basic hypergeometric series.

Authors: Medhat A. Rakha Essam S. El-Sedy

Source: Applied Mathematics and Computation. 148:717-723

Subject Terms: Basic hypergeometric functions, Basic hypergeometric functions in one variable, \({}_r\phi_s\), 0102 computer and information sciences, Applications of basic hypergeometric functions, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/2032658
https://doi.org/10.1016/s0096-3003(02)00930-x
http://www.sciencedirect.com/science/article/pii/S009630030200930X
https://dblp.uni-trier.de/db/journals/amc/amc148.html#RakhaE04
https://www.growkudos.com/publications/10.1016%252Fs0096-3003%2802%2900930-x/reader
https://squ.pure.elsevier.com/en/publications/application-of-basic-hypergeometric-series
https://www.sciencedirect.com/science/article/abs/pii/S009630030200930X

Applications of $q$-Lagrange Inversion to Basic Hypergeometric Series

Authors: Gessel, Ira Stanton, Dennis

Source: Transactions of the American Mathematical Society, 1983 May 01. 277(1), 173-201.

Access URL: https://www.jstor.org/stable/1999351

On the fractional q-integral operators involving q-analogue of Mittag-Leffler function: On the fractional \(q\)-integral operators involving \(q\)-analogue of Mittag-Leffler function

Authors: Mulugeta Dawud Ali D. L. Suthar

Source: Analysis. 44:245-251

Subject Terms: Integral operators, Fractional derivatives and integrals, \(q\)-generalized hypergeometric function, Riemann-Liouville fractional \(q\)-integral operator, \(q\)-beta function, Applications of basic hypergeometric functions, 0101 mathematics, Basic hypergeometric integrals and functions defined by them, Weyl fractional \(q\)-integral operator, Mittag-Leffler functions and generalizations, \(q\)-analogue of Mittag-Leffler function, 01 natural sciences, Kober fractional \(q\)-integral operator

File Description: application/xml

Access URL: https://zbmath.org/7912331
https://doi.org/10.1515/anly-2023-0107

Applications of Basic Hypergeometric Functions: Applications of basic hypergeometric functions

Authors: George E. Andrews

Source: SIAM Review. 16:441-484

Subject Terms: Classical hypergeometric functions, \({}_2F_1\), Exact enumeration problems, generating functions, Elementary theory of partitions, 0102 computer and information sciences, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/3469206
https://doi.org/10.1137/1016081
http://locus.siam.org/doi/abs/10.1137/1016081
https://epubs.siam.org/doi/10.1137/1016081
https://pennstate.pure.elsevier.com/en/publications/applications-of-basic-hypergeometric-functions
https://locus.siam.org/doi/abs/10.1137/1016081

On Applications of Weyl Fractional q-integral Operator to Generalized Basic Hypergeometric Functions.

Authors: Kumar Yadav, Rajendra Dutt Purohit, Sunil

Source: Kyungpook Mathematical Journal. 2006, Vol. 46 Issue 2, p235-245. 11p.

Subject Terms: *INTEGRALS, *HYPERGEOMETRIC functions, *HYPERGEOMETRIC series, *TRANSCENDENTAL functions, *ALGEBRA

A Study To Investigate One-Variable Feyman Diagrams Based On Differential Reduction Of Hypergeometric Functions.

Authors: Xing Kongduo Midhunchakkaravarthy

Source: Frontiers in Health Informatics; 2024, Vol. 13 Issue 8, p5207-5213, 7p

Subject Terms: MATHEMATICAL transformations, QUANTUM field theory, FEYNMAN integrals, SCATTERING amplitude (Physics), MATHEMATICAL physics

Multiplication and Translation Formulas for the Generalized Hypergeometric Functions and Their Applications.

Authors: Zhongfeng Sun Huizeng Qin

Source: IAENG International Journal of Applied Mathematics. Dec2019, Vol. 49 Issue 4, p459-469. 11p.

Subject Terms: *HYPERGEOMETRIC functions, *MULTIPLICATION, *HYPERGEOMETRIC series, *TRANSLATIONS, *ORTHOGONAL polynomials

Applications of Andrews' Basic Lauricella Transformation

Authors: Bressoud, D. M.

Source: Proceedings of the American Mathematical Society, 1978 Oct 01. 72(1), 89-94.

Access URL: https://www.jstor.org/stable/2042540

Milne's hypergeometric functions in terms of free fermions

Authors: A. Yu. Orlov D. M. Scherbin

Source: Journal of Physics A: Mathematical and General. 34:2295-2310

Subject Terms: \(q\)-deformed hypergeometric functions, Basic hypergeometric functions in one variable, \({}_r\phi_s\), 0103 physical sciences, tau-functions, Applications of basic hypergeometric functions, fermionic representation, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: http://ui.adsabs.harvard.edu/abs/2001JPhA...34.2295O/abstract

On the Zeros of the Big q-Bessel Functions and Applications

Authors: Fethi Bouzeffour Hanene Ben Mansour Mubariz Garayev

Source: Mathematics, Vol 8, Iss 2, p 237 (2020)

Subject Terms: basic hypergeometric functions, completeness of sets of functions, interpolation, Mathematics, QA1-939

File Description: electronic resource

Relation: https://www.mdpi.com/2227-7390/8/2/237; https://doaj.org/toc/2227-7390

Access URL: https://doaj.org/article/71d3744f674f4d37bb4a5dc1956e47b5

On Applications of Weyl Fractional q-integral Operator to Generalized Basic Hypergeometric Functions.

Authors: Yadav, Rajendra Kumar Purohit, Sunil Dutt

Source: Kyungpook Mathematical Journal. 2006, Vol. 46 Issue 1, p235-245. 11p.

Subject Terms: *INTEGRAL operators, *WEYL groups, *WEYL'S problem, *OPERATOR theory, *HYPERGEOMETRIC functions, *HYPERGEOMETRIC series, *TRANSCENDENTAL functions

A Study To Examine Single-Variable Feyman Diagrams Utilising Differential Reduction Of Hypergeometric Functions.

Authors: Xing Kongduo Midhunchakkaravarthy

Source: Frontiers in Health Informatics; 2024, Vol. 13 Issue 8, p5165-5171, 7p

Subject Terms: MATHEMATICAL transformations, QUANTUM field theory, FEYNMAN integrals, SCATTERING amplitude (Physics), MATHEMATICAL physics

Basic completely monotone functions as coefficients and solutions of linear q-difference equations with some applications.

Authors: Ghany, Hossam A.¹

Source: Physics Essays. Mar2012, Vol. 25 Issue 1, p38-42. 5p.

Subject Terms: *MONOTONIC functions, *COEFFICIENTS (Statistics), *NUMERICAL solutions to difference equations, *HYPERGEOMETRIC series, *PARAMETERS (Statistics), *DERIVATIVES (Mathematics), *JACOBI method

A study on unification of generalized hypergeometric function and Mittag-Leffler function with certain integral transforms of generalized basic hypergeometric function

Authors: Chaudhary, K.K. Rao, S.B.

Source: Researches in Mathematics; Vol 32, No 1 (2024); 16-32; Researches in Mathematics; Vol 32, No 1 (2024); 16-32; Researches in Mathematics; Vol 32, No 1 (2024); 16-32; 2664-5009; 2664-4991; 10.15421/24243201

Index Terms: basic hypergeometric functions in one variable $$${}_r \phi _s$$$; q-calculus and related topics; Mittag-Leffler functions and generalizations; integral transforms of special functions, Pri 33D15, Sec 05A30, 33E12, 44A20, info:eu-repo/semantics/article, info:eu-repo/semantics/publishedVersion

URL: https://vestnmath.dnu.dp.ua/index.php/rim/article/view/414
https://vestnmath.dnu.dp.ua/index.php/rim/article/view/414/414
https://vestnmath.dnu.dp.ua/index.php/rim/article/view/414/414

On a New Summation Formula for 2ψ2 Basic Bilateral Hypergeometric Series and Its Applications.

Authors: Somashekara, D. D. Murthy, K. Narasimha Shalini, S. L.

Source: International Journal of Mathematics & Mathematical Sciences. 2011, p1-7. 7p.

Subject Terms: *HYPERGEOMETRIC series, *BETA functions, *GAMMA functions, *HYPERGEOMETRIC functions, *MATHEMATICAL formulas, *MATHEMATICS

q-Sumudu transforms pertaining to the product of family of q-polynomials and generalized basic hypergeometric functions.

Authors: Vyas, V. K. Al –Jarrah, Ali A. Purohit, S. D.

Source: Applications & Applied Mathematics. Dec2019, Vol. 14 Issue 2, p1099-1111. 13p.

Subject Terms: *HYPERGEOMETRIC functions, *MANUFACTURED products

Company/Entity: FOX Broadcasting Co.

Holonomic Tools for Basic Hypergeometric Functions

Authors: Koutschan, Christoph Paule, Peter

Index Terms: Computer Science - Symbolic Computation, Mathematics - Combinatorics, text

URL: http://arxiv.org/abs/1602.00454

FRACTIONAL q-DIFFERENTIATION AND BASIC HYPERGEOMETRIC FUNCTIONS OF TWO VARIABLES

Authors: SAXENA, R. K. KUMAR, RAJENDRA

Source: Bulletin mathématique de la Société des Sciences Mathématiques de Roumanie, 1991 Jan 01. 35(3/4), 287-294.

Access URL: https://www.jstor.org/stable/43678418

Euler transformation formula for multiple basic hypergeometric series of type A and some applications

Authors: Kajihara, Yasushi¹ kaji@cr.math.sci.osaka-u.ac.jp

Source: Advances in Mathematics. Sep2004, Vol. 187 Issue 1, p53-97. 45p.

Subject Terms: *EULER characteristic, *HYPERGEOMETRIC series, *HYPERGEOMETRIC functions, *MATHEMATICS