Results 31 to 40 of about 5,484,622 (180)

Two New Generalizations of Extended Bernoulli Polynomials and Numbers, and Umbral Calculus

open access: yesJournal of Mathematics, Volume 2022, Issue 1, 2022., 2022
Among a remarkably large number of various extensions of polynomials and numbers, and diverse introductions of new polynomials and numbers, in this paper, we choose to introduce two new generalizations of some extended Bernoulli polynomials and numbers by using the Mittag–Leffler function and the confluent hypergeometric function.
Nabiullah Khan   +4 more
wiley   +1 more source

The density function for the value-distribution of the Lerch zeta-function and its applications [PDF]

open access: yes, 2021
The probabilistic study of the value-distributions of zeta-functions is one of the modern topics in analytic number theory. In this paper, we study a certain probability measure related to the value-distribution of the Lerch zeta-function.
Mine, Masahiro
core   +1 more source

The false theta functions of Rodgers and their modularity

open access: yesBulletin of the London Mathematical Society, Volume 53, Issue 4, Page 963-980, August 2021., 2021
Abstract In this survey article, we explain how false theta functions can be embedded into a modular framework and show some of the applications of this modularity.
Kathrin Bringmann
wiley   +1 more source

A joint limit theorem for Lerch zeta-function

open access: yesLietuvos Matematikos Rinkinys, 1998
There is not abstract.
Antanas Laurinčikas
doaj   +3 more sources

One functional property of the Lerch zeta-function

open access: yesLietuvos Matematikos Rinkinys, 1998
There is not abstract.
Antanas Laurinčikas
doaj   +3 more sources

Exponential sums of Lerch’s zeta functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1985
For x x not an an integer and
openaire   +2 more sources

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

open access: yesMathematics, 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   +3 more
doaj   +1 more source

Multiple Lerch Zeta Functions and an Idea of Ramanujan [PDF]

open access: yesMichigan Mathematical Journal, 2018
In this article, we derive meromorphic continuation of multiple Lerch zeta functions by generalising an elegant identity of Ramanujan. Further, we describe the set of all possible singularities of these functions. Finally, for the multiple Hurwitz zeta functions, we list the exact set of singularities.
Gun, Sanoli, Saha, Biswajyoti
openaire   +3 more sources

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

open access: yes, 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, Şahin, Recep
core   +2 more sources

On extended Hurwitz–Lerch zeta function

open access: yesJournal of Mathematical Analysis and Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luo, Min-Jie   +2 more
openaire   +2 more sources

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