Results 31 to 40 of about 24,794 (138)
The Lerch Zeta Function II. Analytic Continuation [PDF]
, 2010 This is the second of four papers that study algebraic and analytic structures associated with the Lerch zeta function. In this paper we analytically continue it as a function of three complex variables.
Apostol T. M. +7 more
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Fourier expansion and integral representation generalized Apostol-type Frobenius–Euler polynomials
Advances in Difference Equations, 2020 The main purpose of this paper is to investigate the Fourier series representation of the generalized Apostol-type Frobenius–Euler polynomials, and using the above-mentioned series we find its integral representation.
Alejandro Urieles +3 more
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Extended Moreno-García cosine products
AIMS Mathematics, 2023 The Moreno-García cosine product is extended to evaluate an extensive number of trigonometric products previously published. The products are taken over finite and infinite domains defined in terms of the Hurwitz-Lerch Zeta function, which can be ...
Robert Reynolds
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Applications ~of $Q$-hypergeometric and Hurwitz-Lerch Zeta Functions on Meromorphic Functions [PDF]
Mathematics Interdisciplinary Research, 2023 A new subclass of meromorphic univalent functions by using the q-hypergeometric and Hurwitz-Lerch Zeta functions is defined. Also, by applying the generalized Liu-Srivastava operator on meromorphic functions, some geometric properties of the new ...
Seyed Hadi Sayedain Boroujeni +1 more
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Certain subclass of analytic functions involving Hurwitz–Lerch zeta function
Serdica Mathematical Journal, 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.
Kishore C. Deshmukh, R. Ingle, P. Reddy
semanticscholar +1 more source
Symmetry, 2021 The object of this paper is to derive a double integral in terms of the Hurwitz–Lerch zeta function. Almost all Hurwitz–Lerch zeta functions have an asymmetrical zero-distribution. Special cases are evaluated in terms of fundamental constants.
Robert Reynolds, Allan Stauffer
semanticscholar +1 more source
On Discrete Approximation of Analytic Functions by Shifts of the Lerch Zeta Function
Mathematics, 2022 The Lerch zeta function is defined by a Dirichlet series depending on two fixed parameters. In the paper, we consider the approximation of analytic functions by discrete shifts of the Lerch zeta function, and we prove that, for arbitrary parameters and a
Audronė Rimkevičienė +1 more
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Note on the Hurwitz-Lerch Zeta Function of Two Variables
Symmetry, 2020 A number of generalized Hurwitz–Lerch zeta functions have been presented and investigated. In this study, by choosing a known extended Hurwitz–Lerch zeta function of two variables, which has been very recently presented, in a systematic way, we propose ...
Junesang Choi +3 more
semanticscholar +1 more source
Certain Integral Operator Related to the Hurwitz–Lerch Zeta Function
Journal of Complex Analysis, Volume 2018, Issue 1, 2018., 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 +3 more
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Series of Floor and Ceiling Functions—Part II: Infinite Series
Mathematics, 2022 In this part of a series of two papers, we extend the theorems discussed in Part I for infinite series. We then use these theorems to develop distinct novel results involving the Hurwitz zeta function, Riemann zeta function, polylogarithms and Fibonacci ...
Dhairya Shah +4 more
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