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International Journal of Mathematical Analysis and Applications

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Harmonic Univalent Functions Defined by Q-Calculus Operators

International Journal of Mathematical Analysis and Applications
Vol.5 , No. 2, Publication Date: May 16, 2018, Page: 39-43

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Authors

[1]	Jay M. Jahangiri, Mathematical Sciences, Kent State University, Kent, U.S.A..

Abstract

The fractional q-calculus is the q-extension of the ordinary fractional calculus and dates back to early 20-th century. The theory of q-calculus operators are used in various areas of science such as ordinary fractional calculus, optimal control, q-difference and q-integral equations, and also in the geometric function theory of complex analysis. In this article, for the first time, we apply certain q-calculus operators to complex harmonic functions and obtain sharp coefficient bounds, distortion theorems and covering results.

Keywords

Q-Calculus, Harmonic, Univalent, Salagean Operators

Reference

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