The Trapezoid Rule, Stirling's Formula, and Euler's Constant

1981 ◽  
Vol 88 (9) ◽  
pp. 696-698 ◽  
Author(s):  
Richard Johnsonbaugh
Keyword(s):  
Stirling’S Formula ◽  
Euler’S Constant ◽  
Euler's Constant

Some New Sequences and Inequalities Related to Euler’s Constant

2018 ◽  
Vol 73 (4) ◽  
Author(s):  
Jinghai Feng ◽  
Dawei Lu ◽  
Zixuan Wen
Keyword(s):  
Euler’S Constant ◽  
Euler's Constant

A FUNCTIONAL INEQUALITY FOR THE GAMMA FUNCTION

2013 ◽  
Vol 11 (02) ◽  
pp. 1350010
Author(s):  
HORST ALZER
Keyword(s):  
Gamma Function ◽  
Functional Inequality ◽  
Real Numbers ◽  
Positive Real ◽  
Euler’S Constant ◽  
Euler's Constant

Let α and β be real numbers. We prove that the functional inequality [Formula: see text] holds for all positive real numbers x and y if and only if [Formula: see text] Here, γ denotes Euler's constant.

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