On the Hurwitz function for rational arguments

DOI10.1016/j.amc.2006.08.096zbMath1138.11039OpenAlexW2050801670MaRDI QIDQ884082

Victor S. Adamchik

Publication date: 13 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.096

zbMATH Keywords

Hurwitz zeta functionRiemann zeta functionStirling numbersBernoulli numbersEuler numbersMultiple gamma functionDerivatives of the cotangentGlaisher's numbers

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68) Hurwitz and Lerch zeta functions (11M35)

Related Items

Unnamed Item, Unnamed Item, Ramanujan formula for the generalized Stirling approximation, Estimating the digamma and trigamma functions by completely monotonicity arguments, A non-recursive formula for the higher derivatives of the Hurwitz zeta function, An extension of the Lobachevsky formula, Closed formulas for computing higher-order derivatives of functions involving exponential functions, Transformation of generalized multiple Riemann zeta type sums with repeated arguments, The trace method for cotangent sums, On the higher derivatives of the inverse tangent function, New improvements of the Stirling formula, Closed-form formulae for the derivatives of trigonometric functions at rational multiples of \(\pi\), Values of the derivatives of the cotangent at rational multiples of \(\pi\), On Dirichlet's lambda function, Derivative polynomials and closed-form higher derivative formulae, Some identities on the Hurwitz zeta function and the extended Euler sums, The \(p\)-adic Arakawa-Kaneko zeta functions and \(p\)-adic Lerch transcendent

Cites Work

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