## Tbilisi Mathematical Journal

### Operator on Hilbert space and its application to certain multivalent functions with fixed point associated with hypergeometric function

#### Abstract

By applying hypergeometric operator on Hilbert space, the author introduces a new class of meromorphic multivalent functions with an arbitrary fixed point omega. Properties such as coefficient inequalities, distortion bounds and extreme points were derived. Furthermore, the effect of this operator on functions in this class was also investigated.

#### Article information

Source
Tbilisi Math. J., Volume 9, Issue 2 (2016), 151-157.

Dates
Accepted: 29 November 2016
First available in Project Euclid: 12 June 2018

https://projecteuclid.org/euclid.tbilisi/1528769075

Digital Object Identifier
doi:10.1515/tmj-2016-0027

Mathematical Reviews number (MathSciNet)
MR3599389

Zentralblatt MATH identifier
1357.30010

#### Citation

Gbolagade, A. M.; Makinde, D. O. Operator on Hilbert space and its application to certain multivalent functions with fixed point associated with hypergeometric function. Tbilisi Math. J. 9 (2016), no. 2, 151--157. doi:10.1515/tmj-2016-0027. https://projecteuclid.org/euclid.tbilisi/1528769075

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