Results 91 to 100 of about 2,373 (157)
Expansion formulas for an extended Hurwitz-Lerch zeta function obtained via fractional calculus [PDF]
, 2014 International audienceAbstract Motivated by the recent investigations of several authors, in this paper, we derive several new expansion formulas involving a generalized Hurwitz-Lerch zeta function introduced and studied recently by Srivastava et al ...
Abdelmejid Bayad +6 more
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Robustness of Network Controllability with Respect to Node Removals Based on In-Degree and Out-Degree. [PDF]
Entropy (Basel), 2023 Wang F, Kooij RE.
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On some series representations of the Hurwitz zeta function
, 2008 A variety of infinite series representations for the Hurwitz zeta function are obtained. Particular cases recover known results, while others are new. Specialization of the series representations apply to the Riemann zeta function, leading to additional ...
Coffey, Mark W.
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Generalizations of the Lerch zeta function. [PDF]
The Lerch zeta function is a three-variable generalization of the Riemann zeta function and the Hurwitz zeta function. In this thesis, we study generalizations and analogues of the Lerch zeta function. Our approaches proceed along three directions: local,
Ngo, Hieu T.
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A note on the Hurwitz-Lerch zeta function
In this work we derive a functional equation in terms of the Hurwitz-Lerch zeta function along with definite integrals in terms of the incomplete gamma and Hurwitz-Lerch zeta functions. The method used in these derivations is contour integration. Special cases in terms of fundamental constants are produced.
openaire +3 more sources
The interest in special complex functions and their wide-ranging implementations in geometric function theory (GFT) has developed tremendously. Recently, subordination theory has been instrumentally employed for special functions to explore their ...
Firas Ghanim +3 more
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The Approximation of Analytic Functions Using Shifts of the Lerch Zeta-Function in Short Intervals
AxiomsIn this paper, we obtain approximation theorems of classes of analytic functions by shifts L(λ,α,s+iτ) of the Lerch zeta-function for τ∈[T,T+H] where H∈[T27/82,T1/2]. The cases of all parameters, λ,α∈(0,1], are considered.
Antanas Laurinčikas
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An operator defined by convolution involving the generalised Hurwitz-Lerch Zeta function
, 2012 In this article, we studied the generalised Hurwitz-Lerch zeta function. We defined a new operator and introduced a new class of function.
Husna Zayadi
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The Lerch zeta function I. Zeta integrals
, 2012 . This is the first of four papers that study algebraic and analytic structures associated to the Lerch zeta function. This paper studies “zeta integrals” associated to the Lerch zeta function using test functions, and obtains functional ...
Wen-Ching Winnie Li, Jeffrey C. Lagarias
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The Generalized Eta Transformation Formulas as the Hecke Modular Relation
AxiomsThe transformation formula under the action of a general linear fractional transformation for a generalized Dedekind eta function has been the subject of intensive study since the works of Rademacher, Dieter, Meyer, and Schoenberg et al.
Nianliang Wang +2 more
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