Results 41 to 50 of about 6,487,913 (78)

Value distribution of Lerch and periodic Hurwitz Zeta-functions. [PDF]

, 2018
In this dissertation the Lerch zeta-function, its derivative and the periodic Hurwitz zeta-function are studied. These functions are generalizations of the famous Riemann zeta-function.
Tamošiūnas, Rokas,
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A New Family of Zeta Type Functions Involving the Hurwitz Zeta Function and the Alternating Hurwitz Zeta Function

, 2021
In this paper, we further study the generating function involving a variety of special numbers and ploynomials constructed by the second author. Applying the Mellin transformation to this generating function, we define a new class of zeta type functions,
Yilmaz Simsek, Daeyeoul Kim
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Certain subclass of analytic functions involving Hurwitz–Lerch zeta function

, 2022
Making use of Integral operator involving the Hurwitz-Lerch zeta function, we introduce a new subclass of analytic functions defined in the open unit disk and investigate its various characteristics.
Ingle, Rajkumar, Reddy, Pinninti Thirupathi, Deshmukh, Kishor   +2 more
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Certain Integral Operator Related to the Hurwitz–Lerch Zeta Function

, 2018
The aim of the present paper is to investigate several third-order differential subordinations, differential superordination properties, and sandwich-type theorems of an integral operator Ws,bf(z) involving the Hurwitz–Lerch Zeta function.
Zhi-Ren Wang, Xiao-Yuan Wang, Lei Shi
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On some series representations of the Hurwitz zeta function [PDF]

, 2008
A variety of infinite series representations for the Hurwitz zeta function are obtained. Particular cases recover known results, while others are new. Specialization of the series representations apply to the Riemann zeta function, leading to additional ...
Coffey, Mark W.
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Some Properties of Meromorphic Functions Defined by the Hurwitz–Lerch Zeta Function

The findings of this study are connected with geometric function theory and were acquired using subordination-based techniques in conjunction with the Hurwitz–Lerch Zeta function.
Abeer M. Albalahi, Ekram E. Ali, Rabha M. El-Ashwah, Nicoleta Breaz   +3 more
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The Lerch zeta-function

, 2002
The Lerch zeta-function is the first monograph on this topic, which is a generalization of the classic Riemann, and Hurwitz zeta-functions. Although analytic results have been presented previously in various monographs on zeta-functions, this is the ...
Laurinčikas, Antanas, Garunkštis, Ramūnas   +1 more
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A note on the Hurwitz-Lerch zeta function

In this work we derive a functional equation in terms of the Hurwitz-Lerch zeta function along with definite integrals in terms of the incomplete gamma and Hurwitz-Lerch zeta functions. The method used in these derivations is contour integration. Special
Reynolds, Robert
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SOME FORMULAS FOR APOSTOL-EULER POLYNOMIALS ASSOCIATED WITH HURWITZ ZETA FUNCTION AT RATIONAL ARGUMENTS [PDF]

, 2020
We give some explicit relationships between the Apostol-Euler polynomials and generalized Hurwitz-Lerch Zeta function and obtain some series representations of the Apostol-Euler polynomials of higher order in terms of the generalized Hurwitz-Lerch Zeta ...
Qiu-Ming Luo
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Another discrete Fourier transform pairs associated with the Lipschitz-Lerch zeta function

, 2012
It is demonstrated that the alternating Lipschitz-Lerch zeta function and the alternating Hurwitz zeta function constitute a discrete Fourier transform pair.
Cvijović, Đurđe
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