Further Extension of the Generalized Hurwitz-Lerch Zeta Function of Two Variables [PDF]
Mathematics, 2019 The main aim of this paper is to provide a new generalization of Hurwitz-Lerch Zeta function of two variables. We also investigate several interesting properties such as integral representations, summation formula, and a connection with the generalized ...
Kottakkaran Sooppy Nisar
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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.
Reynolds R, Stauffer A.
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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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New result of analytic functions related to Hurwitz zeta function. [PDF]
ScientificWorldJournal, 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.
Ghanim F, Darus M.
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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.
Abdulnabi FF, Al-Janaby HF, Ghanim F.
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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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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.
Reynolds R.
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Mathematics, 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,
Daeyeoul Kim, Yilmaz Simsek
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