Euler-Mascheroni Integrals
المؤلف:
Boros, G. and Moll, V.
المصدر:
rresistible Integrals: Symbolics, Analysis and Experiments in the Evaluation of Integrals. Cambridge, England: Cambridge University Press
الجزء والصفحة:
...
31-7-2019
1942
Euler-Mascheroni Integrals
Define
 |
(1)
|
then
 |
(2)
|
where 
is the 
th derivative of the gamma function.
Particular values include
where 
is the Euler-Mascheroni constant and 
is Apéry's constant.
REFERENCES:
Boros, G. and Moll, V. Irresistible Integrals: Symbolics, Analysis and Experiments in the Evaluation of Integrals. Cambridge, England: Cambridge University Press, pp. 213-214, 2004.
Srivastava, H. M. and Choi, J. Series Associated with the Zeta and Related Functions. New York: Springer-verlag, 2006.
Referenced on Wolfram|Alpha: Euler-Mascheroni Integrals
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