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Zbl 0860.33002
Kölbig, K.S.
The polygamma function $\psi\sp{(k)}(x)$ for $x={1\over 4}$ and $x={3\over 4}$. (English)
[J] J. Comput. Appl. Math. 75, No.1, 43-46 (1996). ISSN 0377-0427

Summary: Expressions for the polygamma function $\psi^{(k)}(x)$ for the arguments $x={1\over 4}$ and $x={3\over 4}$ 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 $\beta(m)$.

MSC 2000:: *33B15 Gamma-functions, etc.

Keywords: polygamma function; psi function

Cited in: Zbl 1234.11022

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