Results 51 to 60 of about 95 (85)

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

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

Mathematics
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, Georgia Irina Oros, Rabha M. El-Ashwah, Abeer M. Albalahi, Marwa Ennaceur   +4 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

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

Axioms
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, Rabha M. El-Ashwah, Abeer M. Albalahi, Rabab Sidaoui   +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

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

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

Third-Order Fuzzy Subordination and Superordination on Analytic Functions on Punctured Unit Disk

Axioms
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, Georgia Irina Oros, Rabha M. El-Ashwah, Abeer M. Albalahi   +3 more
doaj   +1 more source

Error bounds for the asymptotic expansion of the Hurwitz zeta function. [PDF]

Proc Math Phys Eng Sci, 2017
Nemes G.
europepmc   +1 more source