A Class of k-Symmetric Harmonic Functions Involving a Certain q-Derivative Operator

نویسندگان

چکیده

In this paper, we introduce a new class of harmonic univalent functions with respect to k-symmetric points by using newly-defined q-analog the derivative operator for complex functions. For function class, derive sufficient condition, representation theorem, and distortion theorem. We also apply generalized q-Bernardi–Libera–Livingston integral examine closure properties coefficient bounds. Furthermore, highlight some known consequences our main results. concluding part article, have finally reiterated well-demonstrated fact that results presented in article can easily be rewritten as so-called (p,q)-variations making straightforward simplifications, it will an inconsequential exercise, simply because additional parameter p is obviously unnecessary.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2021

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math9151812