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arXiv · 1806.08407

Harmonic univalent functions defined by q-calculus operators

Jay M. Jahangiri
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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.

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Jay M. Jahangiri. 2018-06-21. Harmonic univalent functions defined by q-calculus operators. https://arxiv.org/abs/1806.08407

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