Results 31 to 40 of about 2,373 (157)

A note on a generalized double series. [PDF]

PLoS One
By employing contour integration the derivation of a generalized double finite series involving the Hurwitz-Lerch zeta function is used to derive closed form formulae in terms of special functions.
Reynolds R.
europepmc   +2 more sources

Analytic study and statistical enforcement of extended beta functions imposed by Mittag-Leffler and Hurwitz-Lerch Zeta functions. [PDF]

MethodsX
Special Function Theory is used in many mathematical fields to model scientific progress, from theoretical to practical. This helps efficiently analyze the newly expanded Beta class of functions on a complicated domain.
Abdulnabi FF, Al-Janaby HF, Ghanim F.
europepmc   +2 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.
Reynolds R.
europepmc   +2 more sources

Generating relations and other results associated with some families of the extended Hurwitz-Lerch Zeta functions. [PDF]

Springerplus, 2013
SpringerOpenMotivated essentially by recent works by several authors (see, for example, Bin-Saad [Math J Okayama Univ 49:37–52, 2007] and Katsurada [Publ Inst Math (Beograd) (Nouvelle Ser) 62(76):13–25, 1997], the main objective in this paper is to ...
M HS.
europepmc   +2 more sources

Aspects of the screw function corresponding to the Riemann zeta‐function

Journal of the London Mathematical Society, Volume 108, Issue 4, Page 1448-1487, October 2023., 2023
Abstract We introduce a screw function corresponding to the Riemann zeta‐function and study its properties from various aspects. Typical results are several equivalent conditions for the Riemann hypothesis in terms of the screw function. One of them can be considered an analog of so‐called Weil's positivity or Li's criterion.
Masatoshi Suzuki
wiley   +1 more source

A family of incomplete Hurwitz-Lerch zeta functions of two variables [PDF]

Miskolc Mathematical Notes, 2020
Inspired essentially by the work [H. M. Srivastava, M. A. Chaudhry and R. P. Agarwal [The incomplete Pochhammer symbols and their applications to hypergeometric and related functions, Integral Transforms Spec. Funct. 23 (2012), 659-683] (see [16])], we introduce the families of the incomplete Hurwitz-Lerch Zeta functions of two variables.
Srivastava, H. M., Sahin, Recep, Yagci, Oguz   +2 more
openaire   +4 more sources

The Mellin Transform of Logarithmic and Rational Quotient Function in terms of the Lerch Function

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
Upon reading the famous book on integral transforms volume II by Erdeyli et al., we encounter a formula which we use to derive a Mellin transform given by ∫0∞xm−1logkax/β2+x2γ+xdx, where the parameters a, k, β, and γ are general complex numbers. This Mellin transform will be derived in terms of the Lerch function and is not listed in current literature
Robert Reynolds, Allan Stauffer, Barbara Martinucci   +2 more
wiley   +1 more source

Certain Identities of a General Class of Hurwitz-Lerch Zeta Function of Two Variables

Earthline Journal of Mathematical Sciences, 2022
In this paper, we introduce a generalized double Hurwitz-Lerch Zeta function and then systematically investigate its properties and various integral representations.
Mushtaque Ahmed Pathan, H. Kumar, Roshni Sharma   +2 more
semanticscholar   +1 more source

Solution of fractional kinetic equations involving generalized Hurwitz-Lerch Zeta function using Sumudu transform

, 2021
Fractional kinetic equations (FKEs) comprising a large array of special functions have been extensively and successfully applied in specification and solving many significant problems of astrophysics and physics.
Yağcı, Oğuz
core   +2 more sources

A NEW EXTENSION OF THE HURWITZ- LERCH ZETA FUNCTION AND PROPERTIES USING THE EXTENDED BETA FUNCTION \(B_{p,q}^{(ρ,σ,τ)}(x,y)\)

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
doaj   +1 more source