Results 61 to 70 of about 960 (95)

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

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 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

The Generalized Eta Transformation Formulas as the Hecke Modular Relation

open access: yesAxioms
The 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

open access: yesAxioms
This 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

Ewald expansions of a class of zeta-functions. [PDF]

open access: yesSpringerplus, 2016
Chakraborty K, Kanemitsu S, Tsukada H.
europepmc   +1 more source

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