Porwal, S., Shukla, N., Mishra, O. (2023). Harmonic univalent functions with fixed finitely many coefficients defined by $q-$ calculus. test, 14(2), 1-12. doi: 10.21608/jfca.2023.196009.1001
Saurabh Porwal; Nalini Shukla; Omendra Mishra. "Harmonic univalent functions with fixed finitely many coefficients defined by $q-$ calculus". test, 14, 2, 2023, 1-12. doi: 10.21608/jfca.2023.196009.1001
Porwal, S., Shukla, N., Mishra, O. (2023). 'Harmonic univalent functions with fixed finitely many coefficients defined by $q-$ calculus', test, 14(2), pp. 1-12. doi: 10.21608/jfca.2023.196009.1001
Porwal, S., Shukla, N., Mishra, O. Harmonic univalent functions with fixed finitely many coefficients defined by $q-$ calculus. test, 2023; 14(2): 1-12. doi: 10.21608/jfca.2023.196009.1001

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

Journal of Fractional Calculus and Applications
Volume 14, Issue 2, July 2023, Pages 1-12    PDF (436.26 K)
Document Type: Regular research papers
DOI: 10.21608/jfca.2023.196009.1001
Authors
Saurabh Porwal* 1; Nalini Shukla2; Omendra Mishra3
1Ram Sahai government degree College, Bairi-Shivrajpur Kanpur Uttar Pradesh
2Janta College, Bakewar, Etawah-206124, (U.P.), India
3Department of Mathematical and Statistical Sciences, Institute of Natural Sciences and Humanities Shri Ramswaroop Memorial University, Lucknow 225003, India.
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.

Keywords
Harmonic functions; univalent functions; Fractional calculus; $q$-calculus
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