scholarly journals An improvement of the Ramanujan formula for approximation of the Euler gamma function

2012 ◽  
Vol 28 (2) ◽  
pp. 301-304
Author(s):  
CRISTINEL MORTICI ◽  
Keyword(s):  
Gamma Function ◽  
Double Inequality ◽  
Euler Gamma Function

The aim of this paper is to improve a double inequality due to Ramanujan for approximation of the Euler gamma function.

scholarly journals A refinement of a double inequality for the gamma function

2012 ◽  
Vol 80 (3-4) ◽  
pp. 333-342 ◽  
Author(s):  
JIAO-LIAN ZHAO ◽  
BAI-NI GUO ◽  
FENG QI
Keyword(s):  
Gamma Function ◽  
Double Inequality

scholarly journals Quantum Barnes Function as the Partition Function of the Resolved Conifold

2008 ◽  
Vol 2008 ◽  
pp. 1-47
Author(s):  
Sergiy Koshkin
Keyword(s):  
Partition Function ◽  
Holomorphic Function ◽  
Gamma Function ◽  
Euler Gamma Function ◽  
New Formula ◽  
Chern Simons

We give a short new proof of largeNduality between the Chern-Simons invariants of the 3-sphere and the Gromov-Witten/Donaldson-Thomas invariants of the resolved conifold. Our strategy applies to more general situations, and it is to interpret the Gromov-Witten, the Donaldson-Thomas, and the Chern-Simons invariants as different characterizations of the same holomorphic function. For the resolved conifold, this function turns out to be the quantum Barnes function, a naturalq-deformation of the classical one that in its turn generalizes the Euler gamma function. Our reasoning is based on a new formula for this function that expresses it as a graded product ofq-shifted multifactorials.

scholarly journals A Double Inequality for Gamma Function

2009 ◽  
Vol 2009 (1) ◽  
pp. 503782 ◽  
Author(s):  
Xiaoming Zhang ◽  
Yuming Chu
Keyword(s):  
Gamma Function ◽  
Double Inequality

scholarly journals Inequalities for Гp function and Gamma function

2013 ◽  
Vol 46 (3) ◽  
Author(s):  
Li Yin ◽  
Zhi-Min Song
Keyword(s):  
Gamma Function ◽  
Double Inequality

AbstractIn this paper, we present a double inequality for the gamma function by estimating bounds of Г

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