Results 11 to 20 of about 146 (114)
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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Some Weighted Sum Formulas for Multiple Zeta, Hurwitz Zeta, and Alternating Multiple Zeta Values
Journal of Mathematics, 2021 We perform a further investigation for the multiple zeta values and their variations and generalizations in this paper. By making use of the method of the generating functions and some connections between the higher-order trigonometric functions and the ...
Yuan He, Zhuoyu Chen
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A Double Integral Containing the Fresnel Integral Function Sx: Derivation and Computation
Journal of Mathematics, 2022 A two-dimensional integral containing Sx is derived.
Robert Reynolds, Allan Stauffer
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Certain Integral Operator Related to the Hurwitz–Lerch Zeta Function [PDF]
Journal of Complex Analysis, 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. We make some applications of the operator Ws,bf(z) for meromorphic functions.
Xiao-Yuan Wang, Lei Shi, Zhi-Ren Wang
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Extended Levett trigonometric series. [PDF]
PLoS ONEAn extension of two finite trigonometric series is studied to derive closed form formulae involving the Hurwitz-Lerch zeta function. The trigonometric series involves angles with a geometric series involving the powers of 3.
Robert Reynolds
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Series Representations at Special Values of Generalized Hurwitz-Lerch Zeta Function [PDF]
Abstract and Applied Analysis, 2013 By making use of some explicit relationships between the Apostol-Bernoulli, Apostol-Euler, Apostol-Genocchi, and Apostol-Frobenius-Euler polynomials of higher order and the generalized Hurwitz-Lerch zeta function as well as a new expansion formula for ...
S. Gaboury, A. Bayad
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A Study of a Certain Subclass of Hurwitz-Lerch-Zeta Function Related to a Linear Operator
Abstract and Applied Analysis, 2013 By using a linear operator with Hurwitz-Lerch-Zeta function, which is defined here by means of the Hadamard product (or convolution), the author investigates interesting properties of certain subclasses of meromorphically univalent functions in the ...
F. Ghanim
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On extended Hurwitz–Lerch zeta function
Journal of Mathematical Analysis and Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Min-Jie Luo +2 more
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Real zeros of Hurwitz–Lerch zeta functions in the interval (−1,0)
Journal of Mathematical Analysis and Applications, 2016 9 ...
Takashi Nakamura
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Two-sided inequalities for the extended Hurwitz–Lerch Zeta function
Computers and Mathematics With Applications, 2011 Recently, Srivastava et al \cite{; ; SSPS}; ; unified and extended several interesting generali-zations of the familiar Hurwitz-Lerch Zeta function $\Phi(z, s, a)$ by introducing a Fox-Wright type generalized hypergeometric function in the kernel.
Tibor K Pogány, R K Saxena
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