Results 111 to 120 of about 32,458 (230)
On the Hurwitz zeta function of imaginary second argument [PDF]
Journal of Mathematical Physics, 2011 In this work, we exploit Jonquière's formula relating the Hurwitz zeta function to a linear combination of polylogarithmic functions in order to evaluate the real and imaginary part of ζH(s, ia) and its first derivative with respect to the first argument s.
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A discrete limit theorem for the periodic Hurwitz zeta-function
Lietuvos Matematikos Rinkinys, 2015 In the paper, we prove a limit theorem of discrete type on the weak convergence of probability measures on the complex plane for the periodic Hurwitz zeta-function.
Audronė Rimkevičienė
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On the sum relation of multiple Hurwitz zeta functions [PDF]
Quaestiones Mathematicae, 2018 In this paper we shall define a special-valued multiple Hurwitz zeta functions, namely the multiple $t$-values $t(\boldsymbol )$ and define similarly the multiple star $t$-values as $t^{\star}(\boldsymbol )$. Then we consider the sum of all such multiple (star) $t$-values of fixed depth and weight with even argument and prove that such a sum can be ...
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A new generalization of the Riemann zeta function and its difference equation
Advances in Difference Equations, 2011 We have introduced a new generalization of the Riemann zeta function. A special case of our generalization converges locally uniformly to the Riemann zeta function in the critical strip.
Qadir Asghar +2 more
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The Hurwitz Zeta Function at the Positive Integers
, 2019 Simplified equation and improved ...
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A discrete limit theorem for the periodic Hurwitz zeta-function. II
Lietuvos Matematikos Rinkinys, 2016 In the paper, we prove a limit theorem of discrete type on the weak convergence of probability measures on the complex plane for the periodic Hurwitz zeta-function.
Audronė Rimkevičienė
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Evaluation of series with Hurwitz and Lerch zeta function coefficients by using Hankel contour integrals [PDF]
, 2006 Khristo N. Boyadzhiev
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The Zeta and Related Functions: Recent Developments
Journal of Advanced Engineering and Computation, 2019 The main object of this survey-cum-expository article is to present an overview of some recent developments involving the Riemann Zeta function ζ(s), the Hurwitz (or generalized) Zeta function ζ(s, a), and the Hurwitz-Lerch Zeta function Φ(z, s, a ...
H. M. Srivastava
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A note on the zeros of generalized Hurwitz zeta functions [PDF]
Journal of Number Theory, 2019 6 ...
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