Results 71 to 80 of about 699 (116)

Expansion formulas for an extended Hurwitz-Lerch zeta function obtained via fractional calculus [PDF]

, 2014
International audienceAbstract Motivated by the recent investigations of several authors, in this paper, we derive several new expansion formulas involving a generalized Hurwitz-Lerch zeta function introduced and studied recently by Srivastava et al ...
Abdelmejid Bayad, Srivastava, Hari, Sébastien Gaboury, Hari M Srivastava, Bayad, Abdelmejid, Gaboury, Sébastien, Srivastava, H.M.   +6 more
core   +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

Two-sided inequalities for the extended Hurwitz–Lerch Zeta function

, 2011
Recently, Srivastava et al. (2011) [2] unified and extended several interesting generalizations of the familiar Hurwitz–Lerch Zeta function Φ(z,s,a) by introducing a Fox–Wright type generalized hypergeometric function in the kernel.
H.M. Srivastava, R.K. Saxena, Tibor K. Pogány, Jankov, Dragana, Dragana Jankov, Saxena, R.K., Srivastava, H.M., Pogány, Tibor K.   +7 more
core   +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

On some series representations of the Hurwitz zeta function

, 2008
A variety of infinite series representations for the Hurwitz zeta function are obtained. Particular cases recover known results, while others are new. Specialization of the series representations apply to the Riemann zeta function, leading to additional ...
Coffey, Mark W.
core   +1 more source

Generalizations of the Lerch zeta function. [PDF]

The Lerch zeta function is a three-variable generalization of the Riemann zeta function and the Hurwitz zeta function. In this thesis, we study generalizations and analogues of the Lerch zeta function. Our approaches proceed along three directions: local,
Ngo, Hieu T.
core  

A certain subclass of univalent meromorphic functions defined by a linear operator associated with the Hurwitz-Lerch zeta function

, 2019
In this paper, we study a linear operator related to Hurwitz-Lerch zeta function and hypergeometric function in the punctured unit disk. A certain subclass of meromorphically univalent functions associated with the above operator defined by the concept ...
Firas Ghanim, Al-Janaby, Hiba F., Ghanim, Firas, Hiba F. Al-Janaby   +3 more
core   +1 more source

Geometric Features of the Hurwitz–Lerch Zeta Type Function Based on Differential Subordination Method

The interest in special complex functions and their wide-ranging implementations in geometric function theory (GFT) has developed tremendously. Recently, subordination theory has been instrumentally employed for special functions to explore their ...
Firas Ghanim, Alina Alb Lupaș, Faten F. Abdulnabi, Hiba F. Al-Janaby   +3 more
core   +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

An operator defined by convolution involving the generalised Hurwitz-Lerch Zeta function

, 2012
In this article, we studied the generalised Hurwitz-Lerch zeta function. We defined a new operator and introduced a new class of function.
Husna Zayadi
core