On subclasses of analytic functions based on a quantum symmetric conformable differential operator with application

Rabha W. Ibrahim; Rafida M. Elobaid; Suzan J. Obaiys

doi:10.1186/s13662-020-02788-6

On subclasses of analytic functions based on a quantum symmetric conformable differential operator with application

Rabha W. Ibrahim, Rafida M. Elobaid, Suzan J. Obaiys

Research output: Contribution to journal › Article

2 Downloads (Pure)

Abstract

Quantum calculus (the calculus without limit) appeared for the first time in fluid mechanics, noncommutative geometry and combinatorics studies. Recently, it has been included into the field of geometric function theory to extend differential operators, integral operators, and classes of analytic functions, especially the classes that are generated by convolution product (Hadamard product). In this effort, we aim to introduce a quantum symmetric conformable differential operator (Q-SCDO). This operator generalized some well-know differential operators such as Sàlàgean differential operator. By employing the Q-SCDO, we present subclasses of analytic functions to study some of its geometric solutions of q-Painlevé differential equation (type III).

Original language	English
Article number	325
Journal	Advances in Difference Equations
Volume	2020
DOIs	https://doi.org/10.1186/s13662-020-02788-6
Publication status	Published - 1 Jul 2020

Keywords

Analytic function
Conformable fractional derivative
Open unit disk
Subordination and superordination
Univalent function

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Applied Mathematics

Access to Document

10.1186/s13662-020-02788-6Licence: CC BY

Download pdf
© The Author(s) 2020
Final published version, 1.37 MBLicence: CC BY

Link to publication in Scopus

Fingerprint Dive into the research topics of 'On subclasses of analytic functions based on a quantum symmetric conformable differential operator with application'. Together they form a unique fingerprint.

Cite this

@article{8e9c00ebddc6437daa157cf8dca11c81,

title = "On subclasses of analytic functions based on a quantum symmetric conformable differential operator with application",

abstract = "Quantum calculus (the calculus without limit) appeared for the first time in fluid mechanics, noncommutative geometry and combinatorics studies. Recently, it has been included into the field of geometric function theory to extend differential operators, integral operators, and classes of analytic functions, especially the classes that are generated by convolution product (Hadamard product). In this effort, we aim to introduce a quantum symmetric conformable differential operator (Q-SCDO). This operator generalized some well-know differential operators such as S{\`a}l{\`a}gean differential operator. By employing the Q-SCDO, we present subclasses of analytic functions to study some of its geometric solutions of q-Painlev{\'e} differential equation (type III).",

keywords = "Analytic function, Conformable fractional derivative, Open unit disk, Subordination and superordination, Univalent function",

author = "Ibrahim, {Rabha W.} and Elobaid, {Rafida M.} and Obaiys, {Suzan J.}",

year = "2020",

month = jul,

day = "1",

doi = "10.1186/s13662-020-02788-6",

language = "English",

volume = "2020",

journal = "Advances in Difference Equations",

issn = "1687-1839",

publisher = "Springer Publishing Company",

}

TY - JOUR

T1 - On subclasses of analytic functions based on a quantum symmetric conformable differential operator with application

AU - Ibrahim, Rabha W.

AU - Elobaid, Rafida M.

AU - Obaiys, Suzan J.

PY - 2020/7/1

Y1 - 2020/7/1

N2 - Quantum calculus (the calculus without limit) appeared for the first time in fluid mechanics, noncommutative geometry and combinatorics studies. Recently, it has been included into the field of geometric function theory to extend differential operators, integral operators, and classes of analytic functions, especially the classes that are generated by convolution product (Hadamard product). In this effort, we aim to introduce a quantum symmetric conformable differential operator (Q-SCDO). This operator generalized some well-know differential operators such as Sàlàgean differential operator. By employing the Q-SCDO, we present subclasses of analytic functions to study some of its geometric solutions of q-Painlevé differential equation (type III).

AB - Quantum calculus (the calculus without limit) appeared for the first time in fluid mechanics, noncommutative geometry and combinatorics studies. Recently, it has been included into the field of geometric function theory to extend differential operators, integral operators, and classes of analytic functions, especially the classes that are generated by convolution product (Hadamard product). In this effort, we aim to introduce a quantum symmetric conformable differential operator (Q-SCDO). This operator generalized some well-know differential operators such as Sàlàgean differential operator. By employing the Q-SCDO, we present subclasses of analytic functions to study some of its geometric solutions of q-Painlevé differential equation (type III).

KW - Analytic function

KW - Conformable fractional derivative

KW - Open unit disk

KW - Subordination and superordination

KW - Univalent function

UR - http://www.scopus.com/inward/record.url?scp=85087182576&partnerID=8YFLogxK

U2 - 10.1186/s13662-020-02788-6

DO - 10.1186/s13662-020-02788-6

M3 - Article

AN - SCOPUS:85087182576

VL - 2020

JO - Advances in Difference Equations

JF - Advances in Difference Equations

SN - 1687-1839

M1 - 325

ER -