Výsledky vyhledávání - Applications of basic hypergeometric functions

Applications of Basic Hypergeometric Functions

Autoři: Andrews, George E.

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

Přístupová URL adresa: https://www.jstor.org/stable/2028690

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

Autoři: Mulugeta Dawud Ali D. L. Suthar

Zdroj: Analysis. 44:245-251

Témata: 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

Popis souboru: application/xml

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

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

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

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

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

Autoři: Chaudhary, K.K. Rao, S.B.

Zdroj: 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

Témata: 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

Applications of Basic Hypergeometric Functions: Applications of basic hypergeometric functions

Autoři: George E. Andrews

Zdroj: SIAM Review. 16:441-484

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

Popis souboru: application/xml

Přístupová URL adresa: 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.

Autoři: Kumar Yadav, Rajendra Dutt Purohit, Sunil

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

Témata: *INTEGRALS, *HYPERGEOMETRIC functions, *HYPERGEOMETRIC series, *TRANSCENDENTAL functions, *ALGEBRA

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

Autoři: Xing Kongduo Midhunchakkaravarthy

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

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

Milne's hypergeometric functions in terms of free fermions

Autoři: A. Yu. Orlov D. M. Scherbin

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

Témata: \(q\)-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

Popis souboru: application/xml

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

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

Autoři: Yadav, Rajendra Kumar Purohit, Sunil Dutt

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

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

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

Autoři: Fethi Bouzeffour Hanene Ben Mansour Mubariz Garayev

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

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

Popis souboru: electronic resource

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

Přístupová URL adresa: https://doaj.org/article/71d3744f674f4d37bb4a5dc1956e47b5

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

Autoři: Xing Kongduo Midhunchakkaravarthy

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

Témata: 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.

Autoři: Ghany, Hossam A.¹

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

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

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

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

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

Témata: *HYPERGEOMETRIC functions, *MANUFACTURED products

Korporace: FOX Broadcasting Co.

Holonomic Tools for Basic Hypergeometric Functions

Autoři: Koutschan, Christoph Paule, Peter

Témata: Computer Science - Symbolic Computation, Mathematics - Combinatorics, text

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

Partial Theta Functions. I. Beyond the Lost Notebook: Partial theta functions. I: Beyond the lost notebook

Autoři: Warnaar, SO

Zdroj: Proceedings of the London Mathematical Society. 87:363-395

Témata: Rogers–Ramanujan identities, Rogers-Ramanujan identities, Lattices and Combinatorics, 33D90, 33D15, 01 natural sciences, Mathematical Sciences, Partition identities, identities of Rogers-Ramanujan type, Basic hypergeometric functions in one variable, \({}_r\phi_s\), 0102 Applied Mathematics, Mathematics - Quantum Algebra, FOS: Mathematics, Mathematical Logic, Mathematics - Combinatorics, Quantum Algebra (math.QA), Applications of basic hypergeometric functions, 0101 mathematics, partial theta functions, the lost notebook, 05A30, \(q\)-calculus and related topics, Set Theory, Theta series, Weil representation, theta correspondences, Combinatorics (math.CO), theta function identities

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: http://arxiv.org/pdf/math/0105002
http://arxiv.org/abs/math/0105002
https://zbmath.org/2002198
https://doi.org/10.1112/s002461150201403x
https://dialnet.unirioja.es/servlet/articulo?codigo=2210389
https://minerva-access.unimelb.edu.au/handle/11343/26190
https://ui.adsabs.harvard.edu/abs/2001math......5002W/abstract
http://doi.wiley.com/10.1112/S002461150201403X
https://academic.oup.com/plms/article/87/2/363/1485622
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S002461150201403X

Interacting columns: generating functions and scaling exponents: Interacting columns: Generating functions and scaling exponents

Autoři: E J Janse van Rensburg

Zdroj: Journal of Physics A: Mathematical and General. 33:7541-7554

Témata: Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics, Basic hypergeometric functions in one variable, \({}_r\phi_s\), 0103 physical sciences, Applications of basic hypergeometric functions, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1572371
https://doi.org/10.1088/0305-4470/33/42/305
https://ui.adsabs.harvard.edu/abs/2000JPhA...33.7541J/abstract

Integral representations of $ q$-Macdonald functions: Integral representations of \(q\)-Macdonald functions

Autoři: V. B. K. Rogov

Zdroj: Sbornik: Mathematics. 194:281-293

Témata: \(q\)-Macdonald functions, Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), Modified \(q\)-Bessel functions, integral representations, Applications of basic hypergeometric functions, 0101 mathematics, 01 natural sciences, \(q\)-Bessel functions

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2066148
https://ui.adsabs.harvard.edu/abs/2003SbMat.194..281R/abstract
https://www.osti.gov/scitech/biblio/21208294-integral-representations-macdonald-functions
https://stacks.iop.org/1064-5616/194/i=2/a=A06?key=crossref.72227bd4bedf4f801845271a8e9f859f

Some properties of q-logarithm and q-exponential functions in Tsallis statistics: Some properties of \(q\)-logarithm and \(q\)-exponential functions in Tsallis statistics

Autoři: Takuya Yamano

Zdroj: Physica A: Statistical Mechanics and its Applications. 305:486-496

Témata: \(q\)-gamma functions, \(q\)-beta functions and integrals, 0103 physical sciences, Foundations of equilibrium statistical mechanics, digamma function, Applications of basic hypergeometric functions, Gamma, beta and polygamma functions, 01 natural sciences, Mellin transform

Popis souboru: application/xml

Přístupová URL adresa: http://ui.adsabs.harvard.edu/abs/2002PhyA..305..486Y/abstract
https://ideas.repec.org/a/eee/phsmap/v305y2002i3p486-496.html
https://www.sciencedirect.com/science/article/abs/pii/S0378437101005672
https://econpapers.repec.org/RePEc:eee:phsmap:v:305:y:2002:i:3:p:486-496
http://www.sciencedirect.com/science/article/pii/S0378437101005672

Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions

Autoři: Fokko J. van de Bult Eric M. Rains

Zdroj: Symmetry, Integrability and Geometry: Methods and Applications, Vol 5, p 059 (2009)

Témata: elliptic hypergeometric functions, basic hypergeometric functions, transformation formulas, Mathematics, QA1-939

Popis souboru: electronic resource

Relation: https://doaj.org/toc/1815-0659

Přístupová URL adresa: https://doaj.org/article/1f3309c5d6ea479297ef8325e35517d8

Septic analogues of the Rogers–Ramanujan functions: Septic analogues of the Rogers--Ramanujan functions

Autoři: Heekyoung Hahn

Zdroj: Acta Arithmetica. 110:381-399

Témata: Partitions, congruences and congruential restrictions, Applications of basic hypergeometric functions, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://www.impan.pl/shop/publication/transaction/download/product/83212?download.pdf
http://journals.impan.pl/cgi-bin/doi?aa110-4-5
https://ui.adsabs.harvard.edu/abs/2003AcAri.110..381H/abstract
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/acta-arithmetica/all/110/4/83212/septic-analogues-of-the-rogers-8211-ramanujan-functions
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-aa110-4-5