Multivalent Functions Related with an Integral Operator

Author:

Ali Shah Syed Ghoos1ORCID,Hussain Saqib1ORCID,Noor Saima2,Darus Maslina3ORCID,Ahmad Ibrar1

Affiliation:

1. Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus 22060, Pakistan

2. Department of Basic Sciences, Preparatory Year Deanship, King Faisal University, Hofuf 31982 Al Ahsa, Saudi Arabia

3. Department of Mathematical Sciences, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia

Abstract

In this present paper, we introduce and explore certain new classes of uniformly convex and starlike functions related to the Liu–Owa integral operator. We explore various properties and characteristics, such as coefficient estimates, rate of growth, distortion result, radii of close-to-convexity, starlikeness, convexity, and Hadamard product. It is important to mention that our results are a generalization of the number of existing results in the literature.

Funder

Universiti Kebangsaan Malaysia

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Reference25 articles.

1. On uniformly convex functions

2. On uniformly starlike functions

3. Convex meromorphic mappings and related functions

4. Some inequalities concerning starlike and convex functions;A. Mannino;General Mathematics,2004

5. A close-to-convexi of basic hypergeometric functions using their Taylor coefficients;K. Swaminathan;Journal of Mathematical Analysis and Applications,2012

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