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Inequalities for the Hurwitz zeta function

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2000
Let be the Hurwitz zeta function. Furthermore, let p > 1 and α ≠ 0 be real numbers and n ≥ 2 be an integer. We determine the best possible constants a(p, α, n), A(p, α, n), b(p, n) and B(p, n) such that the inequalities and hold for all positive real numbers x1,…,xn.
openaire   +1 more source

On the Functional Equation for the Hurwitz Zeta-function

2009 International Conference on Artificial Intelligence and Computational Intelligence, 2009
n this note, we shall derive the functional equation for the Hurwitz zeta-function from that for the Riemann zeta-function, on using an integral expression for Hurwitz zeta-function, which in turn depends on the functional equation for Riemann zeta-function.
openaire   +1 more source

Certain families of series associated with the Hurwitz–Lerch Zeta function

Applied Mathematics and Computation, 2005
Junesang Choi
exaly  

Asymptotic expansions of the Hurwitz–Lerch zeta function

Journal of Mathematical Analysis and Applications, 2004
José Lopez, Chelo Ferreira
exaly  

The Multiple Hurwitz Zeta Function and the Multiple Hurwitz-Euler Eta Function

Taiwanese Journal of Mathematics, 2011
Junesang Choi, Hari M Srivastava
exaly  

Universality of the Periodic Hurwitz Zeta-Function with Rational Parameter

Siberian Mathematical Journal, 2018
Renata Macaitienė, A Laurincikas
exaly  

Asymptotics to all orders of the Hurwitz zeta function

Journal of Mathematical Analysis and Applications, 2018
Athanassios S Fokas, Arran Fernández
exaly  

Integral and computational representations of the extended Hurwitz–Lerch zeta function

Integral Transforms and Special Functions, 2011
Tibor K Pogány   +2 more
exaly  

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