Results 171 to 180 of about 5,487,190 (196)

Sums Involving the Hurwitz Zeta Function

The Ramanujan Journal, 2001
Let as usual \(\zeta(s,\alpha)\) be the Hurwitz zeta-function and \(\Gamma(s)\) be the Euler gamma function. Let \(\Re\alpha>0\), \(\Re p>0\), \(\Re q>0\) and \(|z|
Kanemitsu, Shigeru, Kumagai, Hiroshi, Yoshimoto, Masami   +2 more
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ON THE UNIVERSALITY OF THE HURWITZ ZETA-FUNCTION

International Journal of Number Theory, 2012
It is known that the Hurwitz zeta-function ζ(s, α) with transcendental or rational parameter α is universal in the sense that its shifts ζ(s + iτ, α), τ ∈ ℝ, approximate with a given accuracy any analytic function uniformly on compact subsets of the strip D = {s ∈ ℂ : ½ < σ < 1}. Let H(D) denote the space of analytic functions on D equipped with
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On a problem analogues to Lehmer’s and Hurwitz zeta-function

Applied Mathematics and Computation, 2015
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Qing Tian, Shujuan Cao, Chunxiao Yang
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The Hurwitz Zeta Function and the Lerch Zeta Function

2017
In this chapter we will discuss formulas we have developed for the evaluation of certain zeta functions. We will need them later for the numerical computation of the spectrum of the transfer operator. The implementations of these zeta functions are in a sense the heart of our computations, so we need to be very careful.
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On Discrete Universality of the Hurwitz Zeta-Function

Results in Mathematics, 2017
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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.
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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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Some -extensions of the Apostol–Bernoulli and the Apostol–Euler polynomials of order , 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