Results 161 to 170 of about 5,153,606 (196)

Identities for Sums of a q-Analogue of Polylogarithm Functions

Letters in Mathematical Physics, 2009
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Toufik Mansour
exaly   +3 more sources

Convex Families of q-Derivative Meromorphic Functions Involving the Polylogarithm Function

open access: yesSymmetry, 2023
The aim of this research study is to establish a novel subclass of meromorphic functions in the mean of q-derivatives in combination with the well-known polylogarithm function. Two additional subfamilies for this class are also defined.
Dr. khadeejah Alhindi
exaly   +2 more sources

SOME PROPERTIES OF ANALYTIC FUNCTIONS DEFINED BY POLYLOGARITHM FUNCTIONS

Electronic Journal of Mathematical Analysis and Applications
Summary: The main purpose of this paper, is to introduce a new subclass of analytic functions involving polylogarithm functions and obtain coefficient inequalities, distortion properties, extreme points, radii of starlikeness and convexity, Hadamard product, and convolution and integral operators for the class.
exaly   +3 more sources

On a Certain Subclass of Analytic Functions Involving Integral Operator Defined by Polylogarithm Function

open access: yesMathematics, 2019
In the present paper, we have introduced a new subclass of analytic functions involving integral operator defined by polylogarithm function. Necessary and sufficient conditions are obtained for this class.
Danyal Soybaş
exaly   +2 more sources

Polylogarithms in the Theory of Univalent Functions

Results in Mathematics, 1996
Let \(a,b> -1,p\) and \(q\) nonzero real numbers such that \(p+q \geq 1\). In this paper, the authors study geometric mapping properties of the (normalized) generalized polylogarithm defined in the unit disk \(\Delta = \{z\in\mathbb{C}: |z |< 1\}\) by \[ \Phi_{p,q} (a,b; z) = \sum^\infty_{n=1} {(1+ a)^p(1+ b)^q \over (n+ a)^p(n+ b)^q} z^n = z + \dots. \
Ponnusamy, S., Sabapathy, S.
openaire   +2 more sources

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