Results 21 to 30 of about 850 (200)
Error bounds for the asymptotic expansion of the Hurwitz zeta function. [PDF]
Proc Math Phys Eng Sci, 2017 Nemes G.
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An approximation of the Hurwitz zeta function by a finite sum [PDF]
Lietuvos Matematikos Rinkinys, 2003 We obtain the following version of the approximation of the Hurwitz zeta-function. Let σ ≥ 0 and |t| ≤ π x. Then ζ(s, α) = ∑0 ≤ n ≤ x 1/(n + α)s +{ (x + α)1−s}/(s − 1) + Θ ({7√2π−1 + 3}/xσ).
Ramūnas Garunkštis
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On the Mishou Theorem for Zeta-Functions with Periodic Coefficients
Mathematics, 2023 Let a={am} and b={bm} be two periodic sequences of complex numbers, and, additionally, a is multiplicative. In this paper, the joint approximation of a pair of analytic functions by shifts (ζnT(s+iτ;a),ζnT(s+iτ,α;b)) of absolutely convergent Dirichlet ...
Aidas Balčiūnas +3 more
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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 +3 more
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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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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 +7 more
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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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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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New inequalities for the Hurwitz zeta function [PDF]
, 2008 We establish various new inequalities for the Hurwitz zeta function.
Batir, Necdet
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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 +5 more
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