Results 21 to 30 of about 1,068 (177)

The Lerch zeta-function

, 2002
The Lerch zeta-function is the first monograph on this topic, which is a generalization of the classic Riemann, and Hurwitz zeta-functions. Although analytic results have been presented previously in various monographs on zeta-functions, this is the ...
Laurinčikas, Antanas, Garunkštis, Ramūnas   +1 more
core   +2 more sources

A limit theorem for the Lerch zeta-function

Lietuvos Matematikos Rinkinys, 2000
There is not abstract.
Jolita Ignatavičiūtė
doaj   +6 more sources

Some Properties of Meromorphic Functions Defined by the Hurwitz–Lerch Zeta Function

Mathematics
The 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, Rabha M. El-Ashwah, Nicoleta Breaz, Abeer M. Albalahi   +3 more
doaj   +2 more sources

THE LERCH ZETA FUNCTION II. ANALYTIC CONTINUATION [PDF]

Forum Mathematicum, 2010
. This is the second of four papers that study algebraic and analytic structures associated with the Lerch zeta function. The Lerch zeta function
Wen-ching Winnie Li, Jeffrey C. Lagarias
core   +3 more sources

Extended Levett trigonometric series. [PDF]

PLoS ONE
An extension of two finite trigonometric series is studied to derive closed form formulae involving the Hurwitz-Lerch zeta function. The trigonometric series involves angles with a geometric series involving the powers of 3.
Robert Reynolds
doaj   +2 more sources

On zeros of the Lerch zeta-function. III

Lietuvos Matematikos Rinkinys, 1999
There is not abstract.
Ramūnas Garunkštis
doaj   +5 more sources

A Study of a Certain Subclass of Hurwitz-Lerch-Zeta Function Related to a Linear Operator [PDF]

Abstract and Applied Analysis, 2013
By using a linear operator with Hurwitz-Lerch-Zeta function, which is defined here by means of the Hadamard product (or convolution), the author investigates interesting properties of certain subclasses of meromorphically univalent functions in the ...
F. Ghanim
doaj   +2 more sources

An extended general Hurwitz–Lerch zeta function as a Mathieu(a,λ)-series

Applied Mathematics Letters, 2011
It 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)
Dragana Jankov, Tibor K Pogány, Ram K Saxena   +2 more
exaly   +2 more sources

”Almost” universality of the Lerch zeta-function

Mathematical Communications, 2019
The Lerch zeta-function $L(\lambda,\alpha,s)$ with transcendental parameter $\alpha$, or with rational parameters $\alpha$ and $\lambda$ is universal, i.e., a wide class of analytic functions is approximated by shifts $L(\lambda,\alpha,s+i\tau)$, $\tau ...
Laurinčikas, Antanas, Antanas Laurinčikas   +1 more
core   +3 more sources

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.
Junesang Choi, Sunil Dutt Purohit, Rakesh K. Parmar   +2 more
core   +5 more sources