Výsledky vyhledávání - Applications of basic hypergeometric functions

Applications of Basic Hypergeometric Functions Autor Andrews, George E.

“…This paper surveys recent applications of basic hypergeometric functions to partitions, number theory, finite vector spaces, combinatorial identities…”
Získat plný text

Some identities of certain basic hypergeometric series and their applications to mock theta functions Autor Zhang, Zhizheng, Song, Hanfei

“…In this paper, we first obtain the corresponding transformation formulas of the basic bilateral hypergeometric series involving universal mock theta functions…”
Získat plný text

Geometric properties of basic hypergeometric functions Autor Agrawal, S., Sahoo, S.K.

“…In this article, we consider basic hypergeometric functions introduced by Heine. We study the mapping properties of certain ratios of basic hypergeometric…”
Získat plný text

A General Family of q-Hypergeometric Polynomials and Associated Generating Functions Autor Srivastava, Hari Mohan, Arjika, Sama

“…Basic (or q-) series and basic (or q-) polynomials, especially the basic (or q-) hypergeometric functions and the basic (or q…”
Získat plný text

Certain Investigations in the Field of Basic Hypergeometric Functions and Their Applications Autor Siddiqui, Mohammad Nafees

Získat plný text

A Note on Generalized q-Difference Equations and Their Applications Involving q-Hypergeometric Functions Autor Srivastava, Hari M., Cao, Jian, Arjika, Sama

“…-) polynomials, especially the basic (or q-) hypergeometric functions and basic (or q-) hypergeometric polynomials, in many diverse areas…”
Získat plný text

A Study of Basic-Hypergeometric Functions and Their Applications Autor Maurya, Om Prakash

“… Basic hypergeometric series have assumed great importance during the last four decades or so because of their applications in diverse fields, like additive number theory, combinatorial analysis…”
Získat plný text

Connection coefficients for basic Harish-Chandra series Autor Stokman, Jasper V.

“…–Baxter and reflection equations. Applications to quantum c-functions, basic hypergeometric functions, reflectionless difference operators and multivariable Baker…”
Získat plný text

Certain Investigations in the Field of Basic-Hypergeometric Functions and Their Applications Autor Mishra, Bindu Prakash B

Získat plný text

Bounded Littlewood identities Autor Rains, Eric M., Warnaar, S. Ole

“…We describe a method, based on the theory of Macdonald–Koornwinder polynomials, for proving bounded Littlewood identities…”
Získat plný text

Hypergeometric generating functions for values of Dirichlet and other L functions Autor Lovejoy, Jeremy, Ono, Ken

“… Soc, Providence, RI); (1975) Problems and Prospects for Basic Hypergeometric Series…”
Zjistit podrobnosti o přístupu

G-continued fractions for basic hypergeometric functions II Autor Bowman, Douglas, Choi, Geumlan

“…In this paper we apply a modification of a generalized Pringsheim's theorem to obtain a G-continued fraction expansion for the quotient of two contiguous basic hypergeometric functions in arbitrarily many variables…”
Získat plný text

Contiguous relations of hypergeometric series Autor VIDUNAS, Raimundas

“… We also discuss contiguous relations of generalized and basic hypergeometric functions, and several applications of them…”
Získat plný text

Hypergeometry, integrability and lie theory : Virtual Conference Hypergeometry, Integrability and Lie Theory, December 7-11, 2020, Lorentz Center, Leiden, the Netherlands Autor Koelink, Erik, Kolb, Stefan, Reshetikhin, Nicolai, Vlaar, Bart, Virtual Conference on Hypergeometry, Integrability and Lie Theory

Získat plný text

Bounds for q-integrals of ... with applications Autor He, Zhefei, Wang, Mingjin, Xi, Gaowen

“…(ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image).In this paper, we establish an inequality for the q-integral of the bilateral basic hypergeometric function…”
Získat plný text

The q-derivative and differential equation Autor Akça, Haydar, Benbourenane, Jamal, Eleuch, Hichem

“…, combinatorics, orthogonal polynomials, basic hypergeometric functions, quantum theory, and electronics…”
Získat plný text

Factorization of Basic Hypergeometric Series Autor Bradley-Thrush, Jonathan G.

“…The general problem of the factorization of a basic hypergeometric series is presented and discussed…”
Získat plný text

Algebraic and analytic aspects of integrable systems and painlevé equations : AMS special session, algebraic and analytic aspects of integrable systems and painlevé equations, January 18, 2014, Baltimore, Maryland Autor Dzhamay, Anton, Maruno, Ken'ichi, Ormerod, Christopher M., AMS Special Session on Algebraic and Analytic Aspects of Integrable Systems and Painlevé Equations

Získat plný text

G-Continued Fractions for Basic Hypergeometric Functions Autor Bowman, Douglas, Choi, Geumlan

Získat plný text

On basic Horn hypergeometric functions H3 and H4 Autor Shehata, Ayman

“…The purpose of this work is to demonstrate several interesting contiguous function relations and q -differential formulas for basic Horn hypergeometric functions H 3 and H 4…”
Získat plný text