Results 81 to 90 of about 5,236,985 (134)

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

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

A note on the universality of Hurwitz-Lerch zeta functions

open access: yes, 2016
This paper has been withdrawn by the author due to a crucial error in both ...
openaire   +2 more sources

Joint value-distribution theorems on Lerch zeta-functions. II [PDF]

open access: yes, 2006
We give corrected statements of some theorems from [5] and [6] on joint value-distribution of Lerch zeta-functions (limit theorems, universality, functional independence).
Matsumoto, K., Laurinčikas, A.
core   +1 more source

Fuzzy Treatment for Meromorphic Classes of Admissible Functions Connected to Hurwitz–Lerch Zeta Function

open access: yesAxioms
Fuzzy differential subordinations, a notion taken from fuzzy set theory and used in complex analysis, are the subject of this paper. In this work, we provide an operator and examine the characteristics of meromorphic functions in the punctured open unit ...
Ekram E. Ali   +3 more
doaj   +1 more source

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

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  

The Approximation of Analytic Functions Using Shifts of the Lerch Zeta-Function in Short Intervals

open access: yesAxioms
In this paper, we obtain approximation theorems of classes of analytic functions by shifts L(λ,α,s+iτ) of the Lerch zeta-function for τ∈[T,T+H] where H∈[T27/82,T1/2]. The cases of all parameters, λ,α∈(0,1], are considered.
Antanas Laurinčikas
doaj   +1 more source

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