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The polygamma function ψ(k)(x) for and

✍ Scribed by K.S. Kölbig

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
128 KB
Volume
75
Category
Article
ISSN
0377-0427

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✦ Synopsis

Expressions for the polygamma function ~(k)(x) for the arguments x = ¼ and x = 4 3-are given in terms of Bernoulli numbers, Euler numbers, the Riemann zeta function for odd integer arguments, and the related series of reciprocal powers of integers /~(m).

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## Abstract The Gamma function and its __n__ th logarithmic derivatives (that is, the polygamma or the psi‐functions) have found many interesting and useful applications in a variety of subjects in pure and applied mathematics. Here we mainly apply these functions to treat convolutions of the Rayle