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

Authors : Mostafa JAFARİ, Teodor BULBOACA, Ahmad ZİREH, Ebrahim ANALOUEİ ADEGANİ

Pages : 394-412

Doi:10.31801/cfsuasmas.596546

View : 12 | Download : 10

Publication Date : 2020-06-30

Article Type : Research Paper

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 $\mathcal{B}_\Sigma^{q,\mu}insert ignore into journalissuearticles values(\beta,\lambda,h);$ 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