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Inequalities for the Hurwitz zeta function
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2000Let 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.
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On the Functional Equation for the Hurwitz Zeta-function
2009 International Conference on Artificial Intelligence and Computational Intelligence, 2009n 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.
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The Riemann Zeta Function and the Hurwitz Zeta Function
2022Anthony A. Ruffa, Bourama Toni
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Certain families of series associated with the Hurwitz–Lerch Zeta function
Applied Mathematics and Computation, 2005Junesang Choi
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Asymptotic expansions of the Hurwitz–Lerch zeta function
Journal of Mathematical Analysis and Applications, 2004José Lopez, Chelo Ferreira
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The Multiple Hurwitz Zeta Function and the Multiple Hurwitz-Euler Eta Function
Taiwanese Journal of Mathematics, 2011Junesang Choi, Hari M Srivastava
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Universality of the Periodic Hurwitz Zeta-Function with Rational Parameter
Siberian Mathematical Journal, 2018Renata Macaitienė, A Laurincikas
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Asymptotics to all orders of the Hurwitz zeta function
Journal of Mathematical Analysis and Applications, 2018Athanassios S Fokas, Arran Fernández
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Integral and computational representations of the extended Hurwitz–Lerch zeta function
Integral Transforms and Special Functions, 2011Tibor K Pogány +2 more
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