Results 71 to 80 of about 5,498,596 (118)

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

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  

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

Crandall’s computation of the incomplete Gamma function and the Hurwitz zeta function, with applications to Dirichlet L-series [PDF]

, 2015
This paper extends tools developed by Crandall (2012) [16] to provide robust, high-precision methods for computation of the incomplete Gamma function and the Lerch transcendent.
Borwein, JM, Bailey, DH
core   +1 more source

The Lerch zeta-function

, 2002
The Lerch zeta-function is the first monograph on this topic, which is a generalization of the classic Riemann, and Hurwitz zeta-functions. Although analytic results have been presented previously in various monographs on zeta-functions, this is the ...
Laurinčikas, Antanas, Garunkštis, Ramūnas   +1 more
core   +1 more source

Certain subclasses of starlike functions of complex order involving the Hurwitz-Lerch Zeta function [PDF]

, 2010
Making use of the Hurwitz-Lerch Zeta function, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients of complex order denoted by \(TS^\mu_b(\alpha, \beta, \gamma)\) and obtain
Murugusundaramoorthy, G., Uma, K.
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

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
Reynolds, Robert
core  

On a Weighted Series of the Hurwitz Zeta Function

, 2023
In this note we prove that for all $a \in \mathbb{N}$, $x \in \mathbb{R}_+ \cup \{0\}$, and $s \in \mathbb{C}$ with $\Re(s) > a + 2$, the (alternating) weighted series of the Hurwitz zeta function, $$ \sum_{k \geq 1} (\pm 1)^k (k + x)^a\zeta(s,k + x), $$
Fox, Matthew, Karamchedu, Chaitanya
core  

Identities Arising from a Certain Family of Special Combinatorial Numbers and Polynomials

Mathematics
The results obtained in this paper extend several identities and interpolation formulas previously established for the numbers y9,n(λ;a) to the higher-order case.
Damla Gun, Abdelmejid Bayad, Yilmaz Simsek   +2 more
doaj   +1 more source