Open Access
february 2013 Note on New General Integral Operators of $p$-valent Functions
Irina Dorca, Daniel Breaz
Bull. Belg. Math. Soc. Simon Stevin 20(1): 41-55 (february 2013). DOI: 10.36045/bbms/1366306713

Abstract

We study new general integral operators of $p$-valent functions by giving sufficient conditions of $p$-valently starlikeness, $p$-valently close-to-convexness, uniformly $p$-valent close-to-convexness and strongly starlikeness of order $\tau \,\,(0<\tau\leq 1)$ in $U$ (open unit disk). We end our investigation with an example from literature and some other references.

Citation

Download Citation

Irina Dorca. Daniel Breaz. "Note on New General Integral Operators of $p$-valent Functions." Bull. Belg. Math. Soc. Simon Stevin 20 (1) 41 - 55, february 2013. https://doi.org/10.36045/bbms/1366306713

Information

Published: february 2013
First available in Project Euclid: 18 April 2013

zbMATH: 1300.30021
MathSciNet: MR3082742
Digital Object Identifier: 10.36045/bbms/1366306713

Subjects:
Primary: 30C45

Keywords: $p$-valent starlike , analytic functions , close-to-convex functions , Convex functions , ‎integral operator , strongly starlike

Rights: Copyright © 2013 The Belgian Mathematical Society

Vol.20 • No. 1 • february 2013
Back to Top