$q$-Analogue of a New Subclass of Harmonic Univalent Functions Defined by Fractional Calculus Operator

Saurabh Porwal

EN

$q$-Analogue of a New Subclass of Harmonic Univalent Functions Defined by Fractional Calculus Operator

Abstract

The purpose of the present paper is to introduce a new subclass of harmonic univalent functions by using fractional calculus operator associated with $q$-calculus. Coefficient condition, extreme points, distortion bounds, convolution and convex combination are obtained for this class. Finally, we discuss a class preserving integral operator for this class.

Keywords

Harmonic functions, Fractional calculus, q-calculus

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Saurabh Porwal ^*
0000-0003-0847-3550
India

Publication Date

June 1, 2021

Submission Date

April 11, 2020

Acceptance Date

February 15, 2021

Published in Issue

Year 2021 Volume: 9 Number: 2

IZ

https://izlik.org/JA78GD94SM

APA

Porwal, S. (2021). $q$-Analogue of a New Subclass of Harmonic Univalent Functions Defined by Fractional Calculus Operator. Mathematical Sciences and Applications E-Notes, 9(2), 42-52. https://izlik.org/JA78GD94SM

AMA

1.Porwal S. $q$-Analogue of a New Subclass of Harmonic Univalent Functions Defined by Fractional Calculus Operator. Math. Sci. Appl. E-Notes. 2021;9(2):42-52. https://izlik.org/JA78GD94SM

Chicago

Porwal, Saurabh. 2021. “$q$-Analogue of a New Subclass of Harmonic Univalent Functions Defined by Fractional Calculus Operator”. Mathematical Sciences and Applications E-Notes 9 (2): 42-52. https://izlik.org/JA78GD94SM.

EndNote

Porwal S (June 1, 2021) $q$-Analogue of a New Subclass of Harmonic Univalent Functions Defined by Fractional Calculus Operator. Mathematical Sciences and Applications E-Notes 9 2 42–52.

IEEE

[1]S. Porwal, “$q$-Analogue of a New Subclass of Harmonic Univalent Functions Defined by Fractional Calculus Operator”, Math. Sci. Appl. E-Notes, vol. 9, no. 2, pp. 42–52, June 2021, [Online]. Available: https://izlik.org/JA78GD94SM

ISNAD

Porwal, Saurabh. “$q$-Analogue of a New Subclass of Harmonic Univalent Functions Defined by Fractional Calculus Operator”. Mathematical Sciences and Applications E-Notes 9/2 (June 1, 2021): 42-52. https://izlik.org/JA78GD94SM.

JAMA

1.Porwal S. $q$-Analogue of a New Subclass of Harmonic Univalent Functions Defined by Fractional Calculus Operator. Math. Sci. Appl. E-Notes. 2021;9:42–52.

MLA

Porwal, Saurabh. “$q$-Analogue of a New Subclass of Harmonic Univalent Functions Defined by Fractional Calculus Operator”. Mathematical Sciences and Applications E-Notes, vol. 9, no. 2, June 2021, pp. 42-52, https://izlik.org/JA78GD94SM.

Vancouver

1.Saurabh Porwal. $q$-Analogue of a New Subclass of Harmonic Univalent Functions Defined by Fractional Calculus Operator. Math. Sci. Appl. E-Notes [Internet]. 2021 Jun. 1;9(2):42-5. Available from: https://izlik.org/JA78GD94SM