A q-analogue of the Euler gamma integral

被引：12

作者：

Atakishiyev, NM ^{[1
]}

Atakishiyeva, MK

机构：

[1] Univ Nacl Autonoma Mexico, Inst Matemat, Cuernavaca, Morelos, Mexico

[2] Univ Autonoma Estado Morelos, Fac Ciencias, Cuernavaca, Morelos, Mexico

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2001年 / 129卷 / 01期

关键词：

D O I：

10.1023/A:1012459209474

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss q-analogues of the Euler reflection formula and the Euler gamma integral. The central role here is played by the Ramanujan q-extension of the Euler integral representation for the gamma function, which allows deriving the Mellin integral transformations for the q-polynomials of Stieltjes-Wigert, Rogers-Szego, Laguerre, and Wall, for the alternative q-polynomials of Charlier, and for the little q-polynomials of Jacobi.

引用

页码：1325 / 1334

页数：10

共 50 条

[1] A q-Analogue of the Euler Gamma Integral
N. M. Atakishiyev
M. K. Atakishiyeva
Theoretical and Mathematical Physics, 2001, 129 : 1325 - 1334
[2] A q-analogue of the exponential integral
Salem A.
Afrika Matematika, 2013, 24 (2) : 117 - 125
[3] LEONHARD EULER AND A q-ANALOGUE OF THE LOGARITHM
Koelink, Erik
Van Assche, Waixer
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 137 (05) : 1663 - 1676
[4] ON q-ANALOGUE OF EULER-STIELTJES CONSTANTS
Chatterjee, Tapas
Garg, Sonam
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, : 2011 - 2022
[5] On a q-analogue of the multiple gamma functions
Nishizawa, M
LETTERS IN MATHEMATICAL PHYSICS, 1996, 37 (02) : 201 - 209
[6] On a characterization of a q-analogue of the gamma function
Kamano, Ken
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2011, 21 (J11): : 110 - 117
[7] A q-Analogue for Euler's ζ(6) = π6/945
Goswami, Ankush
ANNALS OF COMBINATORICS, 2019, 23 (3-4) : 801 - 806
[8] THE q-ANALOGUE OF TWISTED LERCH TYPE EULER ZETA FUNCTIONS
Jang, Leechae
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 47 (06) : 1181 - 1188
[9] A q-analogue for Euler’s evaluations of the Riemann zeta function
Ankush Goswami
Research in Number Theory, 2019, 5
[10] A q-analogue for Euler's evaluations of the Riemann zeta function
Goswami, Ankush
RESEARCH IN NUMBER THEORY, 2019, 5 (01)

← 1 2 3 4 5 →