An univalent condition for a family of integral operator

Authors

  • Jin-Lin Liu Department ofMathematics, Yangzhou University, Yangzhou, 225002, China.

DOI:

https://doi.org/10.5556/j.tkjm.42.2011.738

Keywords:

Analytic function, Integral operator, Univalent function.

Abstract

The object of the present paper is to derive an univalent condition for a family of integral operators.

References

O. Altintas, H. Irmak, S. Owa and H. M. Srivastava,

Coefficient bounds for some families of starlike and convex functions of complex order, Appl. Math. Lett., 20(2007), 1218--1222.

D. Breaz, Integral Operators on Spaces of Univalent

Functions, Publishing House of the Romanian Academy of Sciences, Bucharest, in Romanian, 2004.

D. Breaz and N. Breaz, Univalence of an integral

operator, it Mathematica (Cluj) 47(70)(2005), 35--38.

D. Breaz, N. Breaz and H. M. Srivastava, An

extension of the univalent condition for a family of integral operators, Appl. Math. Lett., 22(2009), 41--44.

C.-Y. Gao, S.-M. Yuan and H. M. Srivastava, Some

functional inequalities and inclusion relationships associated with certain families of integral operators,

Comput. Math. Appl., 49(2005), 1787--1795.

S. Owa, M. Nunokawa, H. Saitoh and H. M.

Srivastava, Close-to-convexity of certain analytic functions, Appl. Math. Lett., 15(2002), 63--69.

V. Pescar, A new generalization of Ahlfors's and

Becker's criterion of univalence, Bull. Malaysian Math.

Soc. (Ser.2) 19(1996), 53--54.

V. Pescar, On the univalence of some integral operators, J. Indian Acad. Math., 27(2005), 239-243.

Downloads

Published

2011-12-31

How to Cite

Liu, J.-L. (2011). An univalent condition for a family of integral operator. Tamkang Journal of Mathematics, 42(4), 441–444. https://doi.org/10.5556/j.tkjm.42.2011.738

Issue

Section

Papers