Results 21 to 30 of about 7,129 (230)
Sum of the Hurwitz-Lerch Zeta Function over Natural Numbers: Derivation and Evaluation
Journal of Mathematics, 2022 We consider a Hurwitz-Lerch zeta function Φs,z,a sum over the natural numbers. We provide an analytically continued closed form solution for this sum in terms of the addition of Hurwitz-Lerch zeta functions.
Robert Reynolds, Allan Stauffer
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On the periodic Hurwitz zeta-function. [PDF]
Hardy-Ramanujan Journal, 2006 In this paper, an universality theorem in the Voronin sense for the periodic Hurwitz zeta-function is proved.
A. Javtokas, Antanas Laurinčikas
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Self-approximation of Hurwitz Zeta-functions [PDF]
Functiones et Approximatio Commentarii Mathematici, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Garunkštis, Ramūnas, Karikovas, Erikas
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On Hurwitz zeta function and Lommel functions [PDF]
International Journal of Number Theory, 2020 We obtain a new proof of Hurwitz’s formula for the Hurwitz zeta function [Formula: see text] beginning with Hermite’s formula. The aim is to reveal a nice connection between [Formula: see text] and a special case of the Lommel function [Formula: see text].
Dixit, Atul, Kumar, Rahul
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Zeros of Hurwitz zeta functions [PDF]
Mathematics of Computation, 1976 All complex zeros of each Hurwitz zeta function are shown to lie in a vertical strip. Trivial real zeros analogous to those for the Riemann zeta function are found. Zeros of two particular Hurwitz zeta functions are calculated.
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A Series Representation for the Hurwitz–Lerch Zeta Function
Axioms, 2021 We derive a new formula for the Hurwitz–Lerch zeta function in terms of the infinite sum of the incomplete gamma function. Special cases are derived in terms of fundamental constants.
Robert Reynolds, Allan Stauffer
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Remainder Padé Approximants for the Hurwitz Zeta Function [PDF]
Results in Mathematics, 2019 Following our earlier research, we use the method introduced by the author in \cite{prevost1996} named Remainder Padé Approximant in \cite{rivoalprevost}, to construct approximations of the Hurwitz zeta function. We prove that these approximations are convergent on the positive real line. Applications to new rational approximations of $ζ(2)$ and $ζ(3)$
Marc Prévost
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On extended Hurwitz–Lerch zeta function
Journal of Mathematical Analysis and Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luo, Min-Jie +2 more
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Note on the Hurwitz zeta-function [PDF]
Proceedings of the American Mathematical Society, 1951 Received by the editors June 10, 1950. 1 This work is an offshoot of investigations carried out under the auspices of the Office of Naval Research, Contract N9-ONR90,000. 2 B. Riemann, Ueber die Anzahl der Primzahlen unter einer gegebenen Grbsse, Monatsberichte der Preussischeni Akademie der Wissenschaften (1859, 1860) pp. 671680. 3A.
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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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