نتایج جستجو برای: hurwitz zeta function

تعداد نتایج: 1222530  

2008
OLIVIER ESPINOSA VICTOR H. MOLL

We provide an explicit formula for the Tornheim double series T (a, 0, c) in terms of an integral involving the Hurwitz zeta function. For integer values of the parameters, a = m, c = n, we show that in the most interesting case of even weight N := m + n the Tornheim sum T (m, 0, n) can be expressed in terms of zeta values and the family of integrals

Journal: :Illinois Journal of Mathematics 1994

Journal: :Bulletin of the Belgian Mathematical Society - Simon Stevin 2013

2013
F. Ghanim M. Darus

By using a linear operator, we obtain some new results for a normalized analytic function f defined by means of the Hadamard product of Hurwitz zeta function. A class related to this function will be introduced and the properties will be discussed.

Journal: :Infinite Dimensional Analysis, Quantum Probability and Related Topics 2016

Journal: :Applied Mathematics and Computation 2007
Victor S. Adamchik

Using functional properties of the Hurwitz zeta function and symbolic derivatives of the trigonometric functions, the function ζ(2n + 1, p/q) is expressed in several ways in terms of other mathematical functions and numbers, including in particular the Glaisher numbers. 2000 Mathematics Subject Classification. Primary 11M35, 33B99. Secondary 11B75, 33E20.

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