نتایج جستجو برای: hurwitz zeta function

تعداد نتایج: 1222530  

Journal: :Mathematical Proceedings of the Cambridge Philosophical Society 2015

Journal: :Journal of Mathematical Analysis and Applications 2007

Journal: :International Journal of Pure and Apllied Mathematics 2013

Journal: :Functiones et Approximatio Commentarii Mathematici 2014

Journal: :Bulletin of the Australian Mathematical Society 2012

2001
VICTOR H. MOLL

Abstract. We establish a series of indefinite integral formulae involving the Hurwitz zeta function and other elementary and special functions related to it, such as the Bernoulli polynomials, ln sin(πq), ln Γ(q) and the polygamma functions. Many of the results are most conveniently formulated in terms of a family of functions Ak(q) := kζ (1 − k, q), k ∈ N, and a family of polygamma functions o...

2005
VICTOR H. MOLL

We provide an explicit formula for the Tornheim double series in terms of integrals involving the Hurwitz zeta function. We also study the limit when the parameters of the Tornheim sum become natural numbers, and show that in that case it can be expressed in terms of definite integrals of triple products of Bernoulli polynomials and the Bernoulli function Ak(q) := kζ(1− k, q).

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