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294548

Harmonic univalent functions with fixed finitely many coefficients defined by $q-$ calculus

Article

Last updated: 29 Dec 2024

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Tags

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Abstract

In the present work by applying $q-$ calculus we investigate a new subclass of harmonic univalent functions with fixed finitely many coefficients. We obtain coefficient condition, distortion bounds, extreme points, convolution condition, and convex combination for this class. Finally, we discuss an integral operator and a $q-$ Jackson-type integral operator.

DOI

10.21608/jfca.2023.196009.1001

Keywords

Harmonic functions, Univalent functions, Fractional calculus, $q$-calculus

Authors

First Name

Saurabh

Last Name

Porwal

MiddleName

-

Affiliation

Ram Sahai government degree College, Bairi-Shivrajpur Kanpur Uttar Pradesh

Email

saurabhjcb@rediffmail.com

City

Kanpur

Orcid

-

First Name

Nalini

Last Name

Shukla

MiddleName

-

Affiliation

Janta College, Bakewar, Etawah-206124, (U.P.), India

Email

nalini.shukla1201@gmail.com

City

-

Orcid

-

First Name

Omendra

Last Name

Mishra

MiddleName

-

Affiliation

Department of Mathematical and Statistical Sciences, Institute of Natural Sciences and Humanities Shri Ramswaroop Memorial University, Lucknow 225003, India.

Email

mishraomendra@gmail.com

City

-

Orcid

-

Volume

14

Article Issue

2

Related Issue

39573

Issue Date

2023-07-01

Receive Date

2023-02-24

Publish Date

2023-07-01

Page Start

1

Page End

12

Print ISSN

2090-584X

Online ISSN

2090-5858

Article File

JFCA_Volume 14_Issue 2_Pages 1-12.pdf

PDF . 446.7kB

Link

https://jfca.journals.ekb.eg/article_294548.html

Detail API

https://jfca.journals.ekb.eg/service?article_code=294548

Order

294,548

Type

Regular research papers

Type Code

2,646

Publication Type

Journal

Publication Title

Journal of Fractional Calculus and Applications

Publication Link

https://jfca.journals.ekb.eg/

MainTitle

Harmonic univalent functions with fixed finitely many coefficients defined by $q-$ calculus

Details

Type

Article

Created At

18 Dec 2024