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Harmonic univalent functions defined by q-calculus operators
release_pyjyntbhc5aabolqanzrsgje2i
by
Jay M. Jahangiri
Released
as a article
.
2018
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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1806.08407v1
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