Results 81 to 90 of about 1,008 (140)
An extension of the generalized Hurwitz-Lerch Zeta function of two variables
Filomat, 2017 The main object of this paper is to introduce a new extension of the generalized Hurwitz-Lerch Zeta functions of two variables. We then systematically investigate such its several interesting properties and related formulas as (for example) various integral representations, which provide certain new and known extensions of earlier ...
Choi, Junesang, Parmar, Rakesh K.
openaire +2 more sources
Hurwitz-Lerch Type Multi-Poly-Cauchy Numbers
Mathematics, 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
The density function for the value-distribution of Lerch zeta-functions and its applications
, 2018 The probabilistic study of the value-distribution of zeta-functions is one of the modern topics in analytic number theory. In this paper, we study a probability density function related to the value-distribution of Lerch zeta-functions.
Mine, Masahiro
core
AxiomsFuzzy 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
Robustness of Network Controllability with Respect to Node Removals Based on In-Degree and Out-Degree. [PDF]
Entropy (Basel), 2023 Wang F, Kooij RE.
europepmc +1 more source
AIMS MathematicsThe results of this paper deal with a few applications of the general theory of the differential subordinations and superordinations, and to obtain our results we use the general techniques of the differential subordination and superordination theory ...
Ekram E. Ali +4 more
doaj +1 more source
The Approximation of Analytic Functions Using Shifts of the Lerch Zeta-Function in Short Intervals
AxiomsIn 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
A note on the Hurwitz-Lerch zeta function
In this work we derive a functional equation in terms of the Hurwitz-Lerch zeta function along with definite integrals in terms of the incomplete gamma and Hurwitz-Lerch zeta functions. The method used in these derivations is contour integration. Special cases in terms of fundamental constants are produced.
openaire +3 more sources
The Generalized Eta Transformation Formulas as the Hecke Modular Relation
AxiomsThe transformation formula under the action of a general linear fractional transformation for a generalized Dedekind eta function has been the subject of intensive study since the works of Rademacher, Dieter, Meyer, and Schoenberg et al.
Nianliang Wang +2 more
doaj +1 more source
Third-Order Fuzzy Subordination and Superordination on Analytic Functions on Punctured Unit Disk
AxiomsThis work’s theorems and corollaries present new third-order fuzzy differential subordination and superordination results developed by using a novel convolution linear operator involving the Gaussian hypergeometric function and a previously studied ...
Ekram E. Ali +3 more
doaj +1 more source