Results 1 to 10 of about 5,958 (30)
Integral expressions for Hilbert-type infinite multilinear form and related multiple Hurwitz-Lerch Zeta functions [PDF]
, 2012 The article deals with different kinds integral expressions concerning multiple Hurwitz-Lerch Zeta function (introduced originally by Barnes ), Hilbert-type infinite multilinear form and its power series extension.
Ram K. Saxena, Tibor Pogany
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Zeros of the Hurwitz zeta function in the interval (0,1) [PDF]
, 2011 We first give a condition on the parameters $s,w$ under which the Hurwitz zeta function $\zeta(s,w)$ has no zeros and is actually negative. As a corollary we derive that it is nonzero for $w\geq 1$ and $s\in(0,1)$ and, as a particular instance, the known
Schipani, Davide
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Closed-form formulae for the derivatives of trigonometric functions at rational multiples of $\pi$ [PDF]
, 2009 In this sequel to our recent note it is shown, in a unified manner, by making use of some basic properties of certain special functions, such as the Hurwitz zeta function, Lerch zeta function and Legendre chi function, that the values of all derivatives ...
Adamchik +6 more
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Error bounds for the asymptotic expansion of the Hurwitz zeta function [PDF]
, 2017 In this paper, we reconsider the large-$a$ asymptotic expansion of the Hurwitz zeta function $\zeta(s,a)$. New representations for the remainder term of the asymptotic expansion are found and used to obtain sharp and realistic error bounds.
Anders H +6 more
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The evaluation of Tornheim double sums. Part 1 [PDF]
, 2005 We provide an explicit formula for the Tornheim double series in terms of integrals involving the Hurwitz zeta function. We also study the limit when the parameters of the Tornheim sum become natural numbers, and show that in that case it can be ...
Espinosa, Olivier, Moll, Victor H.
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, 2007 This paper sketches a technique for improving the rate of convergence of a general oscillatory sequence, and then applies this series acceleration algorithm to the polylogarithm and the Hurwitz zeta function.
A. Jonquière +10 more
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Double series expression for the Stieltjes constants
, 2011 We present expressions in terms of a double infinite series for the Stieltjes constants $\gamma_k(a)$. These constants appear in the regular part of the Laurent expansion for the Hurwitz zeta function.
Coffey, Mark W.
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Remarks on the mixed joint universality for a class of zeta-functions
, 2016 Two remarks related with the mixed joint universality for a polynomial Euler product and a periodic Hurwitz zeta-function with a transcendental parameter are given.
Hilbert +10 more
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Integral representations of q-analogues of the Hurwitz zeta function
, 2005 Two integral representations of q-analogues of the Hurwitz zeta function are established. Each integral representation allows us to obtain an analytic continuation including also a full description of poles and special values at non-positive integers of ...
DM Bradley +12 more
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Analytic continuation of the Hurwitz Zeta Function with physical application
, 2002 A new formula relating the analytic continuation of the Hurwitz zeta function to the Euler gamma function and a polylogarithmic function is presented. In particular, the values of the first derivative of the real part of the analytic continuation of the ...
Beneventano C. G. +7 more
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