Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 320, Issue 1, Pages 145-162Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2005.06.059
Keywords
series representations; psi (or digamma) function; fractional calculus; Hurwitz (or generalized) zeta function; special functions; summation of series; Gauss hypergeometric function; polygamma function; normalized binomial mid-coefficients; Harmonic numbers; pi; pi(2); pi(3); pi(4); log 2; log 3; Catalan's constant; Apery's constant
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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 closely-related consequences and results are also considered. (c) 2005 Elsevier Inc. All rights reserved.
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