On a Subclass of Certain Convex Harmonic Univalent Functions Related to Q-Derivative

Authors

  • Hamid Shamsan

harmonic functions, q-derivative, convex functions, convolution, sense-preserving, univalent

Abstract

We define and investigate a new class of harmonic functions defined by q -derivative We give univalence criteria and sufficient coefficient conditions for normalized q -harmonic functions that are convex of order b 0 _ b 1 We obtain coefficient inequalities extreme points distortion bounds convolution and convex combination condition and covering theorems for these functions Further we obtain the closure property of this class under integral operator

How to Cite

On a Subclass of Certain Convex Harmonic Univalent Functions Related to Q-Derivative. (2018). Global Journal of Science Frontier Research, 18(F6), 57-68. https://www.journalofscience.org/index.php/GJSFR/article/view/2320

References

On a Subclass of Certain Convex Harmonic Univalent Functions Related to Q-Derivative

Published

2018-03-15

How to Cite

On a Subclass of Certain Convex Harmonic Univalent Functions Related to Q-Derivative. (2018). Global Journal of Science Frontier Research, 18(F6), 57-68. https://www.journalofscience.org/index.php/GJSFR/article/view/2320