Results 51 to 60 of about 2,186 (164)
The Lerch Zeta function III. Polylogarithms and special values [PDF]
Research in the Mathematical Sciences, 2016 This paper studies algebraic and analytic structures associated with the Lerch zeta function, extending the complex variables viewpoint taken in part II. The Lerch transcendent $ (s, z, c)$ is obtained from the Lerch zeta function $ (s, a, c)$ by the change of variable $z=e^{2 i a}$.
Lagarias, Jeffrey C. +1 more
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The Lerch zeta-function with algebraic irrational parameter
Lietuvos Matematikos Rinkinys, 2009 In this note, we present probabilisticlimit theorems on the complex plane as well as in functional spaces for the Lerch zeta-function with algebraic irrational parameter.
Danutė Genienė
doaj +1 more source
مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020 The purpose of present paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function. Some recurrence relations, generating relations and integral representations are derived for that new extension.
Salem Saleh Barahmah
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Joint universality for Lerch zeta-functions
Journal of the Mathematical Society of Japan, 2017 For $01$. In this paper, we prove joint universality for Lerch zeta-functions with distinct $ _1,\ldots, _m$ and transcendental $ $.
LEE, Yoonbok +2 more
openaire +3 more sources
A transformation formula related to Dirichlet L-functions with principal character
Lietuvos Matematikos Rinkinys, 2012 We prove a transformation formula for the function for the exponential sum involving the divisor function. This formula can be applied to obtain meromorphic continuation for the Mellin transform of the square of Dirichlet L-function with principal ...
Aidas Balčiūnas
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A Review of Certain Modern Special Functions and Their Applications
Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.This review article comprehensively analyzes recent developments in the generalization of special functions (SFs) and polynomials via various fractional calculus operators (FCOs), focusing on the analytical properties and applications of extended Hurwitz–Lerch zeta, Wright, and hypergeometric functions.
Hala Abd Elmageed +2 more
wiley +1 more source
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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Approximate functional equations for the Hurwitz and Lerch zeta-functions [PDF]
, 2017 As one of the asymptotic formulas for the zeta-function, Hardy and Littlewood gave asymptotic formulas called the approximate functional equation. In 2003, R. Garunk\v{s}tis, A. Laurin\v{c}ikas, and J.
Miyagawa, Takashi
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Some New Symmetric Identities for the q-Zeta Type Functions
, 2013 The main object of this paper is to obtain several symmetric properties of the q-Zeta type functions. As applications of these properties, we give some new interesting identities for the modified q-Genocchi polynomials.
Araci, Serkan +3 more
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Explicit height estimates for CM curves of genus 2
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract In this paper, we make explicit the constants of Habegger and Pazuki's work from 2017 on bounding the discriminant of cyclic Galois CM fields corresponding to genus 2 curves with CM and potentially good reduction outside a predefined set of primes. We also simplify some of the arguments.
Linda Frey +2 more
wiley +1 more source