Results 181 to 190 of about 11,866,753 (228)
Some of the next articles are maybe not open access.
Lithuanian Mathematical Journal, 1996
Let \(s= \sigma+it\) be a complex variable, and let \(\mathbb{R}\) and \(\mathbb{Z}\) denote the sets of all real numbers and all integer numbers, respectively. Then the Lerch zeta-function is defined by \[ L(\lambda, \alpha,s) =\sum^\infty_{m=0} {e^{2 \pi i\lambda m} \over (m+ \alpha)^s} \quad \text{for} \quad \sigma>1, \] where \(\lambda \in\mathbb{R}
Garunkštis, R., Laurinčikas, A.
openaire +1 more source
Let \(s= \sigma+it\) be a complex variable, and let \(\mathbb{R}\) and \(\mathbb{Z}\) denote the sets of all real numbers and all integer numbers, respectively. Then the Lerch zeta-function is defined by \[ L(\lambda, \alpha,s) =\sum^\infty_{m=0} {e^{2 \pi i\lambda m} \over (m+ \alpha)^s} \quad \text{for} \quad \sigma>1, \] where \(\lambda \in\mathbb{R}
Garunkštis, R., Laurinčikas, A.
openaire +1 more source
Twists of Lerch Zeta-Functions
Lithuanian Mathematical Journal, 2001This paper is on some basic properties of twists of Lerch zeta-functions defined as \[ L(\lambda, \alpha, s, \chi, Q) = \sum_{n=0}^{\infty}{\chi(n+Q)e^{2\pi i\lambda n}\over (n+\alpha)^{s}} \quad (\Re s > 1), \] where \(0 < \alpha\leq 1\), \(\lambda\in \mathbb R\), \(Q\in \mathbb Z\) and \(\chi\) is a Dirichlet character to the modulus \(q\).
Garunkštis, R., Steuding, J.
openaire +2 more sources
Lerch's Theorems over Function Fields
Integers, 2010AbstractIn this work, we state and prove Lerch's theorems for Fermat and Euler quotients over function fields defined analogously to the number fields.
Meemark, Yotsanan +1 more
openaire +2 more sources
On the Hurwitz—Lerch zeta-function
Aequationes Mathematicae, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kanemitsu, Shigeru +2 more
openaire +1 more source
Certain subclass of analytic functions involving Hurwitz–Lerch zeta function
Serdica Mathematical Journal, 2022Making use of Integral operator involving the Hurwitz-Lerch zeta function, we introduce a new subclass of analytic functions defined in the open unit disk and investigate its various characteristics. Further we obtain some usual properties of the geometric function theory such as coefficient bounds, extreme points radius of starlikness and convexity ...
Deshmukh, Kishor C. +2 more
openaire +1 more source
The Lerch-Type Zeta Function of a Recurrence Sequence of Arbitrary Degree
Mediterranean Journal of Mathematics, 2023We consider the series ∑n=1∞zn(an+x)-s\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt ...
Luis Manuel Navas Vicente +1 more
semanticscholar +1 more source
An Approximate Functional Equation for the Lerch Zeta Function
Mathematical Notes, 2003Let \(01\), is defined by \[ L(\lambda,\alpha,s)=\sum_{n=0}^{\infty}\frac{e^{2 \pi i \lambda n}}{(n+\alpha)^s}.
Garunkštis, R. +2 more
openaire +2 more sources
Approximation of the Lerch Zeta-Function
Lithuanian Mathematical Journal, 2004For \(\sigma > 1\), with real parameters \(\lambda\) and \(\alpha\), \(0 < \alpha \leq 1\), the Lerch zeta--function is defined by \[ L(\lambda, \alpha, s) = \sum_{m=0}^\infty {{e^{2\pi i \lambda m}} \over {(m+\alpha)^s}}, \] and can be continued analytically. Improving on an approximation in the monograph by the author and A.
openaire +1 more source
On the new bicomplex generalization of Hurwitz–Lerch zeta function with properties and applications
Analysis, 2022In the recent years, various authors introduced different generalizations of the Hurwitz–Lerch zeta function and discussed its various properties. The main aim of our study is to introduce a new bicomplex generalization of the Hurwitz–Lerch zeta function
Ankita Chandola +2 more
semanticscholar +1 more source
Generating Function Involving General Function Related to Hurwitz- Lerch Zeta Function
Communications on Applied Nonlinear AnalysisIn this paper, we have studied a general function which unifies the Hurwitz-Lerch Zeta function and Mittage-Leffler function. The integral representation of the function and certain generating functions involving this general function are established.
B. B. Jaimini
semanticscholar +1 more source