Results 111 to 120 of about 300 (129)

The Hurwitz Zeta Function and the Lerch Zeta Function

2017
In this chapter we will discuss formulas we have developed for the evaluation of certain zeta functions. We will need them later for the numerical computation of the spectrum of the transfer operator. The implementations of these zeta functions are in a sense the heart of our computations, so we need to be very careful.
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Integral representations of the multi-parameter Hurwitz–Lerch zeta function and applications

The Journal of Analysis, 2022
The Hurwitz-Lerch zeta function \(\Phi(z,s,a)\) is defined by \[ \Phi(z, s, a)=\sum_{k=0}^\infty \frac{z^k}{(a+k)^s}, \] for \(1-a\notin \mathbb N\) when \(| z| 1\) when \(|z|=1\). A generalization of the above-defined function was studied by \textit{H. M. Srivastava} et al. [Integral Transforms Spec. Funct. 22, No.
Khaled Mehrez, Praveen Agarwal
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Certain Convexity Properties of Hurwitz-Lerch Zeta and Mittag-Leffler Functions

Hokkaido Mathematical Journal, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bansal, Deepak, Raina, Ravinder Krishna
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Riemann, Hurwitz and Hurwitz-Lerch Zeta Functions and Associated Series and Integrals

2012
The main object of this article is to present a survey-cum-expository account of some recent developments involving the Riemann Zeta function \(\zeta (s)\), the Hurwitz (or generalized) Zeta function \(\zeta (s,a)\), and the Hurwitz-Lerch Zeta function \(\Phi (z,s,a)\) as well as its various interesting extensions and generalizations.
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A generalization of the Hurwitz - Lerch Zeta function

Integral Transforms and Special Functions, 2008
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On The Third-Order Complex Differential Inequalities of ξ-Generalized-Hurwitz–Lerch Zeta Functions

Mathematics, 2020
F Ghanim, Maslina Darus
exaly  

Some families of the Hurwitz–Lerch Zeta functions and associated fractional derivative and other integral representations

Applied Mathematics and Computation, 2004
Shy-Der Lin
exaly  

Some relationships between the generalized Apostol–Bernoulli polynomials and Hurwitz–Lerch Zeta functions

Integral Transforms and Special Functions, 2006
Hari M Srivastava, Mridula Garg
exaly  

Some expansion formulas for a class of generalized Hurwitz–Lerch Zeta functions

Integral Transforms and Special Functions, 2006
Hari M Srivastava, Shy-Der Lin
exaly  

A new class of analytic functions defined by means of a convolution operator involving the Hurwitz–Lerch Zeta function

Integral Transforms and Special Functions, 2007
Hari M Srivastava, Dorina Raducanu
exaly