q-Generating functions for one and two variables

被引：2

作者：

Ernst, T ^{[1
]}

机构：

[1] Uppsala Univ, Dept Math, SE-75106 Uppsala, Sweden

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2005年 / 12卷 / 04期

关键词：

D O I：

10.36045/bbms/1133793346

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use a multidimensional extension of Bailey's transform to derive two very general q-generating functions, which are q-analogues of a paper by Exton [10]. These expressions are then specialized to give more practical formulae, which axe q-analogues of generating relations for Karlssons generalized Kampe de Feriet function. A number of examples axe given including q-Laguerre polynomials of two variables.

引用

页码：589 / 605

页数：17

共 50 条

[1] Q-GENERATING FUNCTIONS AND CERTAIN FORMULAS OF ZEITLIN, D
SRIVASTAVA, HM
ILLINOIS JOURNAL OF MATHEMATICS, 1971, 15 (01) : 64 - +
[2] Some q-generating functions and associated generalized hypergeometric polynomials
González, B
Matera, J
Srivastava, HM
MATHEMATICAL AND COMPUTER MODELLING, 2001, 34 (1-2) : 133 - 175
[3] SOME FAMILIES OF MULTILINEAR Q-GENERATING FUNCTIONS AND COMBINATORIAL Q-SERIES IDENTITIES
JAIN, VK
SRIVASTAVA, HM
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 192 (02) : 413 - 438
[4] The Q-generating Function for Graphs with Application
Shu-Yu Cui
Gui-Xian Tian
Bulletin of the Malaysian Mathematical Sciences Society, 2021, 44 : 1471 - 1482
[5] The Q-generating Function for Graphs with Application
Cui, Shu-Yu
Tian, Gui-Xian
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2021, 44 (03) : 1471 - 1482
[6] SOME Q-GENERATING FUNCTIONS ASSOCIATED WITH BASIC MULTIPLE HYPERGEOMETRIC-SERIES
RASSIAS, TM
SINGH, SN
SRIVASTAVA, HM
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1994, 27 (01) : 33 - 39
[7] A fractional q-integral operator associated with a certain class of q-Bessel functions and q-generating series
Shrideh Al-Omari
Dayalal Suthar
Serkan Araci
Advances in Difference Equations, 2021
[8] A fractional q-integral operator associated with a certain class of q-Bessel functions and q-generating series
Al-Omari, Shrideh
Suthar, Dayalal
Araci, Serkan
ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
[9] Families of linear generating functions for polynomials in two variables
Altin, Abdullah
Erkus, Esra
Oezarslan, Mehmet Ali
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2006, 17 (05) : 315 - 320
[10] q-Bernstein-Schurer-Durrmeyer type operators for functions of one and two variables
Kajla, Arun
Ispir, Nurhayat
Agrawal, P. N.
Goyal, Meenu
APPLIED MATHEMATICS AND COMPUTATION, 2016, 275 : 372 - 385

← 1 2 3 4 5 →