[图书][B] Theory and applications of special functions for scientists and engineers

XJ Yang - 2021 - Springer
The main target of this monograph is to provide the detailed investigations to the newly
established special functions involving the Mittag-Leffler, Wiman, Prabhakar, Miller–Ross …

[PDF][PDF] A subclass of Noor-type harmonic p-valent functions based on hypergeometric functions

HF Al-Janaby, F Ghanim - Kragujev. J. Math, 2021 - researchgate.net
1. Introduction Harmonic function has fruitful applications not only in applied mathematics,
but also in physics, engineering. It appears in differential equations, such as harmonic …

Convolution operators in the geometric function theory

Z Shareef, S Hussain, M Darus - Journal of Inequalities and Applications, 2012 - Springer
The study of operators plays a vital role in mathematics. To define an operator using the
convolution theory, and then study its properties, is one of the hot areas of current ongoing …

Some properties of a class of analytic functions defined bygeneralized Struve functions

M Raza, N Yağmur - Turkish Journal of Mathematics, 2015 - journals.tubitak.gov.tr
The aim of this paper is to define\a new operator by using the generalized Struve functions
$\sum\limits_ {n= 0}^{\infty}\frac {\left (-c/4\right)^{n}}{\left (3/2\right) _ {n}\left (k\right) _ {n}} …

Inequalities of harmonic univalent functions with connections of hypergeometric functions

J Sokół, RW Ibrahim, MZ Ahmad, HF Al-Janaby - Open Mathematics, 2015 - degruyter.com
Let SH be the class of functions f= h+ g that are harmonic univalent and sense-preserving in
the open unit disk U={z:| z|< 1} for which f (0)= f'(0)-1= 0. In this paper, we introduce and …

A comprehensive class of harmonic functions defined by convolution and its connection with integral transforms and hypergeometric functions

S Nagpal, V Ravichandran - arXiv preprint arXiv:1301.2746, 2013 - arxiv.org
For given two harmonic functions $\Phi $ and $\Psi $ with real coefficients in the open unit
disk $\mathbb {D} $, we study a class of harmonic functions $ f (z)= z-\sum_ {n= 2}^{\infty} …

Some inclusion relations of certain subclasses of harmonic univalent functions associated with generalized distribution series

N Magesh, S Porwal, R Themangani - Communications of the …, 2020 - koreascience.kr
The purpose of this present paper is to obtain inclusion relations between various
subclasses of harmonic univalent functions by using the convolution operator associated …

Inclusion Relation between Various Subclasses of Harmonic Univalent Functions Associated with Wright's Generalized Hypergeometric Functions

R Themangani, S Porwal… - Abstract and Applied …, 2020 - Wiley Online Library
Inclusion Relation between Various Subclasses of Harmonic Univalent Functions Associated
with Wright’s Generalized Hypergeometric Functions - Themangani - 2020 - Abstract and …

[PDF][PDF] Inclusion theorems involving Wright's generalized hypergeometric functions and harmonic univalent functions

OP Ahuja, P Sharma - Acta Universitatis Apulensis, 2012 - emis.icm.edu.pl
The purpose of this paper is to apply Wright generalized hypergeometric (Wgh) functions in
defining a linear operator and obtain some inclusion relationships between the classes of …

Radius constants for functions with the prescribed coefficient bounds

OP Ahuja, S Nagpal… - Abstract and Applied …, 2014 - Wiley Online Library
For an analytic univalent function f (z)= z+∑ n= 2∞ anzn in the unit disk, it is well‐known
that| an|≤ n for n≥ 2. But the inequality| an|≤ n does not imply the univalence of f. This …