Results 61 to 70 of about 699 (116)

Some New Results Involving the Generalized Bose–Einstein and Fermi–Dirac Functions

open access: yesAxioms, 2019
In this paper, we obtain a new series representation for the generalized Bose−Einstein and Fermi−Dirac functions by using fractional Weyl transform.
Rekha Srivastava   +3 more
doaj   +1 more source

On Generalized Hurwitz-Lerch Zeta Distributions

open access: yes, 2009
In this paper, we introduce a function which is an extension to the general Hurwitz-Lerch Zeta function. Having defined the incomplete generalized beta type-2 and incomplete generalized gamma functions, some differentiation formulae are established for ...
Jain, Kumkum   +2 more
core  

The Lerch zeta-function

open access: yes, 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   +1 more
core   +1 more source

Another discrete Fourier transform pairs associated with the Lipschitz-Lerch zeta function

open access: yes, 2012
It is demonstrated that the alternating Lipschitz-Lerch zeta function and the alternating Hurwitz zeta function constitute a discrete Fourier transform pair.
Cvijović, Đurđe
core   +1 more source

Fuzzy Subordination Results for Meromorphic Functions Associated with Hurwitz–Lerch Zeta Function

open access: yesMathematics
The notion of the fuzzy set was incorporated into geometric function theory in recent years, leading to the emergence of fuzzy differential subordination theory, which is a generalization of the classical differential subordination notion.
Ekram E. Ali   +4 more
doaj   +1 more source

SOME FORMULAS FOR APOSTOL-EULER POLYNOMIALS ASSOCIATED WITH HURWITZ ZETA FUNCTION AT RATIONAL ARGUMENTS [PDF]

open access: yes, 2020
We give some explicit relationships between the Apostol-Euler polynomials and generalized Hurwitz-Lerch Zeta function and obtain some series representations of the Apostol-Euler polynomials of higher order in terms of the generalized Hurwitz-Lerch Zeta ...
Qiu-Ming Luo
core  

A (p,v)-Extension of Hurwitz-Lerch Zeta Function and its Properties

open access: yes, 2018
In this paper, we define a (p,v)-extension of Hurwitz-Lerch Zeta function by considering an extension of beta function defined by Parmar et al. [J. Classical Anal. 11 (2017) 81–106].
Gauhar Rahman, KS Nisar, Shahid Mubeen
core   +1 more source

Hurwitz-Lerch Type Multi-Poly-Cauchy Numbers

open access: yesMathematics, 2019
In this paper, we define Hurwitz–Lerch multi-poly-Cauchy numbers using the multiple polylogarithm factorial function. Furthermore, we establish properties of these types of numbers and obtain two different forms of the explicit formula using ...
Noel Lacpao   +2 more
doaj   +1 more source

Value distribution of Lerch and periodic Hurwitz Zeta-functions.

open access: yes, 2018
In this dissertation the Lerch zeta-function, its derivative and the periodic Hurwitz zeta-function are studied. These functions are generalizations of the famous Riemann zeta-function.
Tamošiūnas, Rokas,
core  

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

open access: yes, 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)
Tibor Pogány   +5 more
core   +1 more source

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