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 Study of a Certain Subclass of Hurwitz-Lerch-Zeta Function Related to a Linear Operator [PDF]
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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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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Series Representations at Special Values of Generalized Hurwitz-Lerch Zeta Function
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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On a Certain Extension of the Hurwitz-Lerch Zeta Function
Annals of the West University of Timisoara: Mathematics and Computer Science, 2014 Our purpose in this paper is to consider a generalized form of the extended Hurwitz-Lerch Zeta function. For this extended Hurwitz-Lerch Zeta function, we obtain some classical properties which includes various integral representations, a differential ...
Parmar Rakesh K., Raina R. K.
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Some Properties of Meromorphic Functions Defined by the Hurwitz–Lerch Zeta Function
MathematicsThe 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.
Ekram E. Ali +3 more
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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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Further Extension of the Generalized Hurwitz-Lerch Zeta Function of Two Variables
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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New Relations Involving an Extended Multiparameter Hurwitz‐Lerch Zeta Function with Applications
International Journal of Analysis, Volume 2014, Issue 1, 2014., 2014 We derive several new expansion formulas involving an extended multiparameter Hurwitz‐Lerch zeta function introduced and studied recently by Srivastava et al. (2011). These expansions are obtained by using some fractional calculus methods such as the generalized Leibniz rules, the Taylor‐like expansions in terms of different functions, and the ...
H. M. Srivastava +3 more
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On The Third-Order Complex Differential Inequalities of ξ-Generalized-Hurwitz–Lerch Zeta Functions
Mathematics, 2020 In the z- domain, differential subordination is a complex technique of geometric function theory based on the idea of differential inequality. It has formulas in terms of the first, second and third derivatives.
Hiba Al-Janaby +2 more
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