Open Access
2014 A differential inequality and starlikeness of a double integral
Sarika Verma, Sushma Gupta, Sukhjit Singh
Rocky Mountain J. Math. 44(5): 1653-1659 (2014). DOI: 10.1216/RMJ-2014-44-5-1653

Abstract

The main objective of this paper is to discuss starlikeness of order $\beta$ of the solutions of a differential equation and, as a consequence, to obtain conditions on the kernel function $g$ such that the function defined by \[ f(z)=\int_0^1 \int_0^1 g(r,s,z)\,dr\,ds \] is a starlike function of the same order.

Citation

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Sarika Verma. Sushma Gupta. Sukhjit Singh. "A differential inequality and starlikeness of a double integral." Rocky Mountain J. Math. 44 (5) 1653 - 1659, 2014. https://doi.org/10.1216/RMJ-2014-44-5-1653

Information

Published: 2014
First available in Project Euclid: 1 January 2015

zbMATH: 1303.30018
MathSciNet: MR3295647
Digital Object Identifier: 10.1216/RMJ-2014-44-5-1653

Subjects:
Primary: 30C45
Secondary: 30C80

Keywords: convex function , Differential sub ordination , ‎starlike function

Rights: Copyright © 2014 Rocky Mountain Mathematics Consortium

Vol.44 • No. 5 • 2014
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