Results 71 to 80 of about 24,794 (138)

Partial Sums of Generalized Class of Analytic Functions Involving Hurwitz-Lerch Zeta Function

Abstract and Applied Analysis, 2011
Let fn(z)=z+∑k=2nakzk be the sequence of partial sums of the analytic function f(z)=z+∑k=2∞akzk. In this paper, we determine sharp lower bounds for ℜ{f(z)/fn(z)}, ℜ{fn(z)/f(z)},  ℜ{f′(z)/fn′(z)}, and ℜ{fn′(z)/f′(z)}.
G. Murugusundaramoorthy, K. Uma, M. Darus   +2 more
doaj   +1 more source

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

Axioms, 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, Humera Naaz, Sabeena Kazi, Asifa Tassaddiq   +3 more
doaj   +1 more source

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, Roberto Corcino, Mary Ann Ritzell Vega   +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  

Differential subordinations and superordinations for meromorphic multivalent functions involving a convolution operator

AIMS Mathematics
The 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, Teodor Bulboacă, Rabha M. El-Ashwah, Abeer H. Alblowy, Fozaiyah A. Alhubairah   +4 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

Univalency and starlikeness of normalized Hurwitz-Lerch Zeta function inside unit disk

, 2017
In the present investigation we study normalized Hurwitz-Lerch Zeta function and find sufficient conditions, so that the normalized Hurwitz-Lerch Zeta function have certain geometric properties like close-to-convexity, univalency and starlikeness inside ...
D. Bansal, J. Sokół
semanticscholar   +1 more source

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

Axioms
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

Geometric Studies on Inequalities of Harmonic Functions in a Complex Field Based on ξ-Generalized Hurwitz-Lerch Zeta Function

Iranian Journal of Mathematical Sciences and Informatics, 2023
H. Al-Janaby, F. Ghanim, P. Agarwal
semanticscholar   +1 more source

The Generalized Eta Transformation Formulas as the Hecke Modular Relation

Axioms
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, Takako Kuzumaki, Shigeru Kanemitsu   +2 more
doaj   +1 more source