International Journal of Mathematics and Mathematical Sciences
Volume 2009 (2009), Article ID 989603, 15 pages
doi:10.1155/2009/989603

On certain sufficient condition involving Gaussian hypergeometric functions

H. Silverman1 , Thomas Rosy2 and S. Kavitha2

1Department of Mathematics, College of Charleston, Charleston, SC 29424, USA
2Department of Mathematics, Madras Christian College, East Tambaram, Chennai 600 059, India

Abstract

The authors define a new subclass of 𝒜 of functions involving complex order in the open unit disk 𝕌. For this new class, we obtain certain inclusion properties involving the Gaussian hypergeometric functions.