Results 21 to 30 of about 5,223,805 (173)

Analytical properties of the Hurwitz–Lerch zeta function [PDF]

Advances in Difference Equations, 2020
In the present paper, we aim to extend the Hurwitz–Lerch zeta function Φ δ , ς ; γ ( ξ , s , υ ; p ) $\varPhi _{\delta ,\varsigma ;\gamma }(\xi ,s,\upsilon ;p)$ involving the extension of the beta function (Choi et al. in Honam Math. J.
Raghib Nadeem, Talha Usman, Kottakkaran Sooppy Nisar, Dumitru Baleanu   +3 more
doaj   +3 more sources

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.
Robert Reynolds
doaj   +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.
Faten F. Abdulnabi, Hiba F. Al-Janaby, Firas Ghanim   +2 more
doaj   +2 more sources

Growth of the Lerch zeta-function [PDF]

Lithuanian Mathematical Journal, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
R Garunkštis
exaly   +3 more sources

Subordination Properties of Meromorphic Kummer Function Correlated with Hurwitz–Lerch Zeta-Function

Mathematics, 2021
Recently, Special Function Theory (SPFT) and Operator Theory (OPT) have acquired a lot of concern due to their considerable applications in disciplines of pure and applied mathematics.
Firas Ghanim, Khalifa Al-Shaqsi, Maslina Darus, Hiba Fawzi Al-Janaby   +3 more
doaj   +3 more sources

A Double Integral Containing the Fresnel Integral Function Sx: Derivation and Computation

Journal of Mathematics, 2022
A two-dimensional integral containing Sx is derived.
Robert Reynolds, Allan Stauffer
doaj   +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.
Robert Reynolds
doaj   +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

Asymptotic expansions of the Hurwitz–Lerch zeta function

Journal of Mathematical Analysis and Applications, 2004
In the paper, a generalization of the asymptotic expansions obtained by \textit{M.~Katsurada} [Proc.~Japan Acad. 74, No. 10, 167--170 (1998; Zbl 0937.11035)] and \textit{D.~Klusch} [J.~Math. Anal. Appl. 170, No. 2, 513--523 (1992; Zbl 0763.11036)] for the Lipschitz-Lerch zeta function \[ R(a, x, s)\equiv\sum_{k=0}^\infty {e^{2k\pi ix}\over (a+k)^s ...
José Lopez, Chelo Ferreira
exaly   +3 more sources

On zeros of the derivative of the Lerch zeta-function

Lietuvos Matematikos Rinkinys, 2002
We consider zeros of the derivative of the Lerch zeta-function. We obtain some lower bound for the number of zeros lying on the right from the critical line.
Ramūnas Garunkštis
doaj   +4 more sources