Add to ORKGWe give an asymptotic expansion (the higher Stirling formula) and an infinite product representation (the Weierstrass product formula) of the Vignéras multiple gamma function by considering the classical limit of the multiple q-gamma function
AbstractThe main subject of this paper is the analysis of asymptotic expansions of Wallis quotient f...
Abstract. An asymptotic expansion of a ratio of products of gamma functions is derived. It generaliz...
We present new short proofs for both Stirling\u27s formula and Stirling\u27s formula for the Gamma f...
F.H. Jackson defined a q-analogue of the factorial n! = 1∙2∙3 ⋯ n as (n!)q = 1∙ (1 + q) ∙ (1 + q + q...
AbstractThe aim of this paper is to construct some asymptotic expansions which produce increasingly ...
Abstract. The multiple gamma function Γn, defined by a recurrence-functional equation as a generaliz...
학위논문 (석사)-- 서울대학교 대학원 : 수리과학부, 2013. 2. 김영원.The gamma function, introduced by the Swiss mathematicia...
Abstract. We present a new short proof of Stirling’s formula for the Gamma function. Our approach is...
An asymptotic expansion for a ratio of products of gamma functions is derived. 2000 Mathematics Subj...
AbstractSeveral sequences are derived which are related to Stirling's formula for the Gamma function...
For |q| ≠ 1, the integral definition of the gamma function in terms of the exponential function is g...
In this survey we present our recent results on analysis of gamma function and related functions. T...
Gauss' and Euler's type infinite product representations for Vignéras multiple gamma function are pr...
We present new short proofs for both Stirling\u27s formula and Stirling\u27s formula for the Gamma f...
We present a new short proof of Stirling\u27s formula for the Gamma function. Our approach is based ...
AbstractThe main subject of this paper is the analysis of asymptotic expansions of Wallis quotient f...
Abstract. An asymptotic expansion of a ratio of products of gamma functions is derived. It generaliz...
We present new short proofs for both Stirling\u27s formula and Stirling\u27s formula for the Gamma f...
F.H. Jackson defined a q-analogue of the factorial n! = 1∙2∙3 ⋯ n as (n!)q = 1∙ (1 + q) ∙ (1 + q + q...
AbstractThe aim of this paper is to construct some asymptotic expansions which produce increasingly ...
Abstract. The multiple gamma function Γn, defined by a recurrence-functional equation as a generaliz...
학위논문 (석사)-- 서울대학교 대학원 : 수리과학부, 2013. 2. 김영원.The gamma function, introduced by the Swiss mathematicia...
Abstract. We present a new short proof of Stirling’s formula for the Gamma function. Our approach is...
An asymptotic expansion for a ratio of products of gamma functions is derived. 2000 Mathematics Subj...
AbstractSeveral sequences are derived which are related to Stirling's formula for the Gamma function...
For |q| ≠ 1, the integral definition of the gamma function in terms of the exponential function is g...
In this survey we present our recent results on analysis of gamma function and related functions. T...
Gauss' and Euler's type infinite product representations for Vignéras multiple gamma function are pr...
We present new short proofs for both Stirling\u27s formula and Stirling\u27s formula for the Gamma f...
We present a new short proof of Stirling\u27s formula for the Gamma function. Our approach is based ...
AbstractThe main subject of this paper is the analysis of asymptotic expansions of Wallis quotient f...
Abstract. An asymptotic expansion of a ratio of products of gamma functions is derived. It generaliz...
We present new short proofs for both Stirling\u27s formula and Stirling\u27s formula for the Gamma f...