On certain linear operator defined by basic hypergeometric functions

Authors

  • Rabha W. Ibrahim Institute of Mathematical Sciences University Malaya, 50603 Kuala Lumpur, Malaysia Author

Keywords:

Basic hypergeometric function, subordination, starlike, close to convex, univalent function, Sălăgean differential operator, Jack's lemma

Subjects:

30C45

Abstract

By employing the basic hypergeometricseries, we introduce here a linear operator for analytic functions.By means of this linear operator, we define and investigate aclass of analytic functions. Also, as an application of Jack'slemma, sufficient conditions for univalence, starlikeness andstrong starlikeness of certain analytic functions are obtained.

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Published

2013-01-15

Issue

Vol. 65 No. 1 (2013): Vol. 65, Issue 1

Section

Articles

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Copyright (c) 2013 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.