Title of article
Series representations for some mathematical constants
Author/Authors
Horst Alzer، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2006
Pages
18
From page
145
To page
162
Abstract
The authors apply a classical series identity involving the psi (or digamma) function with a view
to deriving series representations for a number of known mathematical constants. Several closelyrelated
consequences and results are also considered.
© 2005 Elsevier Inc. All rights reserved
Keywords
Summation of series , Gauss hypergeometric function , Polygamma function , Harmonic numbers , ?4 , log 2 , log 3 , ?2 , ? , Series representations , Catalan’s constant , fractional calculus , Hurwitz (or generalized) zetafunction , special functions , psi (or digamma) function , Apéry’s constant , ?3 , Normalized binomial mid-coefficients
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2006
Journal title
Journal of Mathematical Analysis and Applications
Record number
934627
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