Applications of a q-Salagean type operator on multivalent functions

Applications of a q-Salagean type operator on multivalent functions

Abstract In this paper, we introduce a new class k- US(q,γ,m,p) $\mathcal{US}(q,\gamma ,m,p)$, γ∈C∖{0} $\gamma \in\mathbb{C}\backslash \{0\}$, of multivalent functions using a newly defined q-analogue of a Salagean type differential operator. We investigate the coefficient problem, Fekete–Szego ineq...

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Bibliographic Details
Main Authors: Saqib Hussain, Shahid Khan, Muhammad Asad Zaighum, Maslina Darus
Format: Article
Language:English
Published: SpringerOpen 2018-11-01
Series:Journal of Inequalities and Applications
Subjects:
Multivalent functions
q derivative operator
Convolution
Conic domain
Online Access:http://link.springer.com/article/10.1186/s13660-018-1888-3
Description
Summary:Abstract In this paper, we introduce a new class k- US(q,γ,m,p) $\mathcal{US}(q,\gamma ,m,p)$, γ∈C∖{0} $\gamma \in\mathbb{C}\backslash \{0\}$, of multivalent functions using a newly defined q-analogue of a Salagean type differential operator. We investigate the coefficient problem, Fekete–Szego inequality, and some other properties related to subordination. Relevant connections of the results presented here with those obtained in the earlier work are also pointed out.
ISSN:1029-242X

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