Results 11 to 20 of about 111 (90)
On The Third-Order Complex Differential Inequalities of ξ-Generalized-Hurwitz–Lerch Zeta Functions [PDF]
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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New Expansion Formulas for a Family of the λ‐Generalized Hurwitz‐Lerch Zeta Functions
International Journal of Mathematics and Mathematical Sciences, Volume 2014, Issue 1, 2014., 2014 We derive several new expansion formulas for a new family of the λ‐generalized Hurwitz‐Lerch zeta functions which were introduced by Srivastava (2014). These expansion formulas are obtained by making use of some important fractional calculus theorems such as the generalized Leibniz rules, the Taylor‐like expansions in terms of different functions, and ...
H. M. Srivastava +2 more
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Generating relations and other results associated with some families of the extended Hurwitz-Lerch Zeta functions. [PDF]
Springerplus, 2013 Abstract Motivated essentially by recent works by several authors (see, for example, Bin-Saad [Math J Okayama Univ 49:37–52, 2007] and Katsurada [Publ Inst Math (Beograd) (Nouvelle Ser) 62(76):13–25, 1997], the main objective in this paper is to present a systematic investigation of numerous interesting properties of some families of ...
M HS.
europepmc +4 more sources
On the generalized Hurwitz-Lerch zeta function and generalized Lambert transform [PDF]
Journal of Classical Analysis, 2020 Summary: \textit{R. K. Raina} and \textit{H. M. Srivastava} [Rev. Téc. Fac. Ing., Univ. Zulia 18, No. 3, 301--304 (1995; Zbl 0851.11052)] introduced a generalized Lambert transform. \textit{S. P. Goyal} and \textit{R. K. Laddha} [Gaṇita Sandesh 11, No.
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Further generalization of the extended Hurwitz-Lerch Zeta functions
Boletim da Sociedade Paranaense de Matemática, 2017 Recently various extensions of Hurwitz-Lerch Zeta functions have been investigated. Here, we first introduce a further generalization of the extended Hurwitz-Lerch Zeta functions. Then we investigate certain interesting and (potentially) useful properties, systematically, of the generalization of the extended Hurwitz-Lerch Zeta functions, for example ...
Rakesh K. Parmar +2 more
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Around the Lipschitz Summation Formula
Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020 Boundary behavior of important functions has been an object of intensive research since the time of Riemann. Kurokawa, Kurokawa‐Koyama, and Chapman studied the boundary behavior of generalized Eisenstein series which falls into this category. The underlying principle is the use of the Lipschitz summation formula.
Wenbin Li +3 more
wiley +1 more source
A Generalization of the Secant Zeta Function as a Lambert Series
Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020 Recently, Lalín, Rodrigue, and Rogers have studied the secant zeta function and its convergence. They found many interesting values of the secant zeta function at some particular quadratic irrational numbers. They also gave modular transformation properties of the secant zeta function.
H.-Y. Li +3 more
wiley +1 more source
An extension of the generalized Hurwitz-Lerch Zeta function of two variables
Filomat, 2017 The main object of this paper is to introduce a new extension of the generalized Hurwitz-Lerch Zeta functions of two variables. We then systematically investigate such its several interesting properties and related formulas as (for example) various integral representations, which provide certain new and known extensions of earlier ...
Choi, Junesang, Parmar, Rakesh K.
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An extended general Hurwitz–Lerch zeta function as a Mathieu (a,λ)-series
Applied Mathematics Letters, 2011 AbstractIt is shown that an integral representation for the extension of a general Hurwitz–Lerch zeta function recently obtained by Garg et al. (2008) [5] is a special case of the closed form integral expression for the Mathieu (a,λ)-series given by Pogány (2005) [1].
Jankov, Dragana +2 more
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Certain Identities of a General Class of Hurwitz-Lerch Zeta Function of Two Variables
Earthline Journal of Mathematical Sciences, 2022 In this paper, we introduce a generalized double Hurwitz-Lerch Zeta function and then systematically investigate its properties and various integral representations. Further, we show that these results provide certain known as well as new extensions of earlier stated results of generalized Hurwitz-Lerch Zeta functions.
M. A. Pathan +2 more
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