A certain subclass of bi-univalent analytic functions introduced by means of the q-analogue of Noor integral operator and Horadam polynomials | Zendy

Arzu Akgül | Zendy; Fethiye Müge Sakar | Zendy

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A certain subclass of bi-univalent analytic functions introduced by means of the q-analogue of Noor integral operator and Horadam polynomials

Author(s) -

Arzu Akgül,

Fethiye Müge Sakar

Publication year - 2019

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1905-17

Subject(s) - mathematics , subclass , analytic function , class (philosophy) , connection (principal bundle) , operator (biology) , pure mathematics , function (biology) , univalent function , construct (python library) , algebra over a field , geometry , biochemistry , chemistry , antibody , repressor , artificial intelligence , evolutionary biology , computer science , transcription factor , gene , immunology , biology , programming language

In the present study, by using the Horadam Polnomials and q−analogue of Noor integral oprerator, we target to construct an interesting connection between the geometric function theory and that of special functions. Also, by defining a new class of bi-univalent analytic functions, we investigate coefficient estimates and famous Fekete-Szegö inequality for functions belonging to this interesting class.

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