Coefficient inequalities of analytic functions equipped with conic domains involving $q$-analogue of Noor integral operator

Khalida Inayat Noor; Şahsene Altinkaya; Sibel Yalçin

doi:10.32513/tmj/1932200811

Abstract

The motivation of this paper is to introduce and study a new class of univalent functions equipped with conic type regions. We also investigate a number of useful properties of this class and coefficient estimates for functions. Several consequences of the results are also pointed out.

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Khalida Inayat Noor. Şahsene Altinkaya. Sibel Yalçin. "Coefficient inequalities of analytic functions equipped with conic domains involving $q$-analogue of Noor integral operator." Tbilisi Math. J. 14 (1) 1 - 14, March 2021. https://doi.org/10.32513/tmj/1932200811

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Received: 14 July 2019; Accepted: 23 December 2020; Published: March 2021

First available in Project Euclid: 1 April 2021

Digital Object Identifier: 10.32513/tmj/1932200811

Subjects:

Primary: 30C45

Secondary: 30C50

Keywords: $k$-uniformly convex functions , $k$-uniformly starlike functions , $q$-analogue of Noor integral operator , analytic functions , conic domain

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