An asymptotic expansion of the q-gamma function Γq(x)

被引：14

作者：

Mansour, M. ^{[1
]}

机构：

[1] Mansoura Univ, Mansoura 35516, Egypt

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2006年 / 13卷 / 04期

关键词：

D O I：

10.2991/jnmp.2006.13.4.2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we get an asymptotic expansion of the q-gamma function Gamma(q)(x). Also, we deduced q-analogues of Gauss' multiplication formula and Legendre's relation which give the known results when q tends to 1.

引用

页码：479 / 483

页数：5

共 50 条

[1] An asymptotic expansion of the q-gamma function Γq(x)
M Mansour
Journal of Nonlinear Mathematical Physics, 2006, 13 : 479 - 483
[2] INCOMPLETE q-GAMMA FUNCTION AND TRICOMI EXPANSION
Mansour, M.
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2009, 16 (02) : 141 - 150
[3] Incomplete q-Gamma Function and Tricomi Expansion
M. Mansour
Journal of Nonlinear Mathematical Physics, 2009, 16 : 141 - 150
[4] Convexity and q-gamma function
Elezović N.
Giordano C.
Pečarić J.
Rendiconti del Circolo Matematico di Palermo, 1999, 48 (2) : 285 - 298
[5] On the functional equations of the q-Gamma function
Mansour Mahmoud
Aequationes mathematicae, 2015, 89 : 1041 - 1050
[6] Inequalities for q-gamma function ratios
Das, Sourav
ANALYSIS AND MATHEMATICAL PHYSICS, 2019, 9 (01) : 313 - 321
[7] On the functional equations of the q-Gamma function
Mahmoud, Mansour
AEQUATIONES MATHEMATICAE, 2015, 89 (04) : 1041 - 1050
[8] Inequalities for q-gamma function ratios
Sourav Das
Analysis and Mathematical Physics, 2019, 9 : 313 - 321
[9] ASYMPTOTIC EXPANSIONS FOR Q-GAMMA, Q-EXPONENTIAL, AND Q-BESSEL FUNCTIONS
OLDEDAALHUIS, AB
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 186 (03) : 896 - 913
[10] Q-EXPONENTIAL AND Q-GAMMA FUNCTIONS .2. Q-GAMMA FUNCTIONS
MCANALLY, DS
JOURNAL OF MATHEMATICAL PHYSICS, 1995, 36 (01) : 574 - 595

← 1 2 3 4 5 →