Tbilisi Mathematical Journal
- Tbilisi Math. J.
- Volume 9, Issue 2 (2016), 151-157.
Operator on Hilbert space and its application to certain multivalent functions with fixed point associated with hypergeometric function
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.
Tbilisi Math. J., Volume 9, Issue 2 (2016), 151-157.
Received: 23 September 2016
Accepted: 29 November 2016
First available in Project Euclid: 12 June 2018
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 30C45: Special classes of univalent and multivalent functions (starlike, convex, bounded rotation, etc.)
Secondary: 30C50: Coefficient problems for univalent and multivalent functions
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