Certain subclasses of harmonic univalent functions defined by (p,q)- calculus operator

Harmonic Univalent defined by Quantum Calculus Operator

  • Rajavadivelu Themangani
  • Saurabh Porwal Ram Sahai Government Degree College, Bairi-Shivrajpur, Kanpur
  • Nanjundan Magesh

Abstract

By using the post quantum calculus operators, we introduce a new subclass of harmonic univalent function. Further, coefficient estimates, distortion bounds, extreme points, convolution condition and convex combination for functions belonging to this class are established. Also we observed that this family of class preserves $q-$Jackson integral operator. The results obtained include several known and new results as special cases. By using the post quantum calculus operators, we introduce a new subclass of harmonic univalent function. Further, coefficient estimates, distortion bounds, extreme points, convolution condition and convex combination for functions belonging to this class are established. Also we observed that this family of class preserves $q-$Jackson integral operator. The results obtained include several known and new results as special cases.

Published
2022-05-23