Results 181 to 190 of about 849 (200)

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.
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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.
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The Riemann Zeta Function and the Hurwitz Zeta Function

2022
Anthony A. Ruffa, Bourama Toni
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ON POLYLOGARITHMS, HURWITZ ZETA FUNCTIONS, AND THE KUBERT IDENTITIES

1983
This very interesting and rich paper deals with classical analytic functions put in a new light, using modern techniques. It deals with the Hurwitz zeta-function \[ \zeta_{1- s}(x)=\sum^{\infty}_{n=0}(n+x)^{s-1} \] and the Fourier series (vid polylog) \(\ell_ s(x)=\sum e^{2\pi inx}n^{-s}\). Both functions are special cases of Lerch zeta-function. There
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Some q-extensions of the Apostol–Bernoulli and the Apostol–Euler polynomials of order n, and the multiple Hurwitz zeta function

Applied Mathematics and Computation, 2008
Junesang Choi, H M Srivastava
exaly  

Some identities on the Hurwitz zeta function and the extended Euler sums

Integral Transforms and Special Functions, 2013
Huizeng Qin
exaly  

Asymptotic expansions of the Hurwitz–Lerch zeta function

Journal of Mathematical Analysis and Applications, 2004
JOSÉ L Lopez
exaly  

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

Applied Mathematics and Computation, 2005
Junesang Choi, H M Srivastava
exaly  

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

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

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

Integral Transforms and Special Functions, 2011
H M Srivastava, Ram K Saxena, Tibor K Pogány   +2 more
exaly