Results 11 to 20 of about 550,652 (221)
Error bounds for the asymptotic expansion of the Hurwitz zeta function [PDF]
Proc Math Phys Eng Sci, 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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On the modification of the universality of the Hurwitz zeta-function
Nonlinear Analysis: Modelling and Control, 2016 In the paper, the lower limit in the universality inequality for the Hurwitz zeta-function is replaced by an ordinary limit. The cases of continuous and discrete universalities are considered.
Laurinčikas, Antanas, +1 more
doaj +7 more sources
Extended Wang sum and associated products. [PDF]
PLoS ONE, 2022 The Wang sum involving the exponential sums of Lerch's Zeta functions is extended to the finite sum of the Huwitz-Lerch Zeta function to derive sums and products involving cosine and tangent trigonometric functions.
Robert Reynolds, Allan Stauffer
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The inverse of tails of Riemann zeta function, Hurwitz zeta function and Dirichlet L-function
AIMS MathematicsIn this paper, we derive the asymptotic formulas $ B^*_{r, s, t}(n) $ such that $ \mathop{\lim} \limits_{n \rightarrow \infty} \left\{ \left( \sum\limits^{\infty}_{k = n} \frac{1}{k^r(k+t)^s} \right)^{-1} - B^*_{r,s,t}(n) \right\} = 0, $ where $
Zhenjiang Pan, Zhengang Wu
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New Result of Analytic Functions Related to Hurwitz Zeta Function [PDF]
The Scientific World Journal, 2013 By using a linear operator, we obtain some new results for a normalized analytic function f defined by means of the Hadamard product of Hurwitz zeta function. A class related to this function will be introduced and the properties will be discussed.
F. Ghanim, M. Darus
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On the Hurwitz Zeta Function [PDF]
arXiv, 2011 We give new integral and series representations of the Hurwitz zeta function. We also provide a closed-form expression of the coefficients of the Laurent expansion of the Hurwitz-zeta function about any point in the complex plane.
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The fourth moment of the Hurwitz zeta function [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal)Abstract We prove a sharp upper bound for the fourth moment of the Hurwitz zeta function ζ ( s
Winston Heap, Anurag Sahay
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Real zeros of the Hurwitz zeta function [PDF]
Acta Arithmetica, 2018 11 ...
Toshiki Matsusaka
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Analytic study and statistical enforcement of extended beta functions imposed by Mittag-Leffler and Hurwitz-Lerch Zeta functions [PDF]
MethodsXSpecial Function Theory is used in many mathematical fields to model scientific progress, from theoretical to practical. This helps efficiently analyze the newly expanded Beta class of functions on a complicated domain.
Faten F. Abdulnabi +2 more
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On limit distribution of the Hurwitz zeta-function
Open Mathematics, 2010 Abstract The distribution of the vector (|ζ(s, α)|; ζ(s, α)), where ζ(s, α) is the Hurwitz zeta-function with transcendental parameter α, is considered and a probabilistic limit theorem is obtained. Also, the dependence between |ζ(s, α)| and ζ(s, α) in terms of m-characteristic transforms is discussed.
Laurinčikas Antanas
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