Results 21 to 30 of about 5,226,001 (195)

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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Analytical properties of the Hurwitz–Lerch zeta function

Advances in Difference Equations, 2020
In the present paper, we aim to extend the Hurwitz–Lerch zeta function Φ δ , ς ; γ ( ξ , s , υ ; p ) $\varPhi _{\delta ,\varsigma ;\gamma }(\xi ,s,\upsilon ;p)$ involving the extension of the beta function (Choi et al. in Honam Math. J.
Raghib Nadeem, Talha Usman, Kottakkaran Sooppy Nisar, Dumitru Baleanu   +3 more
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LINEAR COMBINATIONS OF HURWITZ ZETA-FUNCTIONS

Kyushu Journal of Mathematics, 2022
As it is well known, the Hurwitz zeta-function, for \(\sigma>1\) and a parameter \(\alpha ...
STEUDING, Rasa, STEUDING, Jörn
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On the distribution of zeros of the Hurwitz zeta-function [PDF]

Mathematics of Computation, 2006
Assuming the Riemann hypothesis, we prove asymptotics for the sum of values of the Hurwitz zeta-function ζ
Ramunas Garunkstis, Jörn Steuding
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The holomorphic flow of the Riemann zeta function [PDF]

, 2003
The flow of the Riemann zeta function, ś = ς(s), is considered, and phase portraits are presented. Attention is given to the characterization of the flow lines in the neighborhood of the first 500 zeros on the critical line.
Barnett, A. Ross, Broughan, Kevin A.
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Some approximations with hurwitz zeta function [PDF]

, 2020
1st Mediterranean International Conference of Pure and Applied Mathematics and Related Areas (MICOPAM) -- OCT 26-29, 2018 -- Akdeniz Univ, Antalya, TURKEYIn this paper, we focus on some approximations with Hurwitz zeta function.
Aygüneş, Aykut Ahmet
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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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Note on the Hurwitz-Lerch Zeta Function of Two Variables [PDF]

, 2020
Choi, Junesang/0000-0002-7240-7737; Yagci, Oguz/0000-0001-9902-8094A number of generalized Hurwitz-Lerch zeta functions have been presented and investigated.
Yağcı, Oğuz, Kim, Dojin, Junesang Choi, Recep Şahin, Dojin Kim, Choi, Junesang, Şahin, Recep, Oğuz Yağcı   +7 more
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Joint discrete approximation of a pair of analytic functions by periodic zeta-functions

Mathematical Modelling and Analysis, 2020
In the paper, the problem of simultaneous approximation of a pair of analytic functions by a pair of discrete shifts of the periodic and periodic Hurwitz zeta-function is considered. The above shifts are defined by using the sequence of imaginary parts of
Aidas Balčiūnas, Virginija Garbaliauskienė, Julija Karaliūnaitė, Renata Macaitienė, Jurgita Petuškinaitė, Audronė Rimkevičienė   +5 more
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A Modification of the Mixed Joint Universality Theorem for a Class of Zeta Functions

Mathematics, 2022
The property of zeta functions on mixed joint universality in the Voronin’s sense states that any two holomorphic functions can be approximated simultaneously with an accuracy of ε>0 by suitable vertical shifts of the pair consisting the Riemann and ...
Roma Kačinskaitė, Benjaminas Togobickij   +1 more
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