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

Document Type : Regular research papers

Authors

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

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

3 Department 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.

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