Simple criteria for univalence and coefficient bounds for a certain subclass of analytic functions

Year 2020, Volume: 69 Issue: 1, 394 - 412, 30.06.2020

Mostafa Jafari Teodor Bulboaca , Ahmad Zireh , Ebrahim Analouei Adegani

https://doi.org/10.31801/cfsuasmas.596546

Cited By: 2

Abstract

In the first part of this work we present several new geometric properties of analytic functions by applying the differential subordination. In addition, several results in the geometric functions theory pointed out. In the second part we find upper bounds for coefficients of functions in class $\mathcal{B}_\Sigma^{q,\mu}(\beta,\lambda,h)$ which is defined by fractional $q$-calculus operators.

Keywords

Univalent function, differential subordination, starlike functions, close-to-convex functions, bi-univalent functions, fractional $q$-calculus operators, Faber polynomials

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