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The polygamma function ψ (k) (x) for x=1 4 and x=3 4. (English) Zbl 0860.33002
Summary: Expressions for the polygamma function ψ (k) (x) for the arguments x=1 4 and x=3 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 β(m).

MSC:
33B15Gamma, beta and polygamma functions