Operators of Basic (or q-) Calculus and Fractional q-Calculus and Their Applications in Geometric Function Theory of Complex Analysis

HM Srivastava - Iranian Journal of Science and Technology …, 2020 - Springer
Basic (or q-) series and basic (or q-) polynomials, especially the basic (or q-) hypergeometric
functions and basic (or q-) hypergeometric polynomials, are known to have widespread …

[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 …

Geometric studies on inequalities of harmonic functions in a complex field based on ξ-generalized Hurwitz-Lerch Zeta function

HF Al-Janaby, F Ghanim, P Agarwal - Iranian Journal of Mathematical …, 2023 - ijmsi.ir
Authors, define and establish a new subclass of harmonic regular schlicht functions (HSF) in
the open unit disc through the use of the extended generalized Noor-type integral operator …

[PDF][PDF] Multivalent harmonic functions defined by Dziok-Srivastava operator

R Omar, SA Halim - Bull. Malays. Math. Sci. Soc.(2), 2012 - emis.icm.edu.pl
In this paper we introduce a class of multivalent harmonic functions starlike of order γ using
the Dziok-Srivastava operator. Necessary and sufficient coefficient bounds and convolution …

A subclass of harmonic functions related to a convolution operator

S Hussain, A Rasheed, M Darus - Journal of Function Spaces, 2016 - Wiley Online Library
A Subclass of Harmonic Functions Related to a Convolution Operator Page 1 Research
Article A Subclass of Harmonic Functions Related to a Convolution Operator Saqib Hussain,1 …

[PDF][PDF] Hyergeometric functions and subclasses of harmonic map**s

R Chandrashekar, SK Lee… - Proceeding of the …, 2010 - math.usm.my
The seminal works of Clunie and Sheil-Small (1984) and Sheil-Small (1990) on harmonic
map**s as generalizations of conformal map**s have given rise to investigations on …

[PDF][PDF] A Class of Harmonic Multivalent Functions Defined by an Integral Operator

R Ezhilarasi, TV Sudharsan, KG Subramanian - Gen. Math. Notes, 2014 - math.usm.my
A Class of Harmonic Multivalent Functions Defined by an Integral Operator 1 Introduction Page
1 Gen. Math. Notes, Vol. 22, No. 1, May 2014, pp.17-30 ISSN 2219-7184; Copyright c ICSRS …

[PDF][PDF] On a Subclass of Goodman-Ronning Type Harmonic Univalent Functions Defined by Dziok-Srivastava Operator

A Akbarally, S Hassan - International Journal of Mathematical Analysis, 2016 - m-hikari.com
The aim of this paper is to investigate a subclass of Goodman-Ronning type of harmonic
univalent functions defined by the modified Dziok-Srivastava operator. The properties for this …

[PDF][PDF] Research Article A Subclass of Harmonic Functions Related to a Convolution Operator

S Hussain, A Rasheed, M Darus - 2016 - academia.edu
Harmonic functions have long been used in the representation of minimal surface; for
example, Heinz [1] in 1952 used such map**s in the study of the Gaussian curvature of …

[PDF][PDF] Multivalent harmonic uniformly convex functions

RM EL-Ashwah, MK Aouf… - African Journal of …, 2014 - academicjournals.org
A continuous complex valued function fu iv=+ which is defined in a simply connected
complex domain D is said to be harmonic in D if both u and v are real harmonic in D. In any …