Title of article :
Geometric Properties of Generalized Bessel Functions
Author/Authors :
Mondal, Saiful R. Universiti Sains Malaysia - School of Mathematical Sciences, Malaysia , Mondal, Saiful R. Indian Institute of Technology - Department of Mathematics, India , Swaminathan, A. Indian Institute of Technology - Department of Mathematics, India
Abstract :
In this work, the generalized Bessel functions with their normalization are considered. Various conditions are obtained so that these Bessel functions have certain geometric properties including close-to-convexity (univalency), starlikeness and convexity in the unit disc. Results obtained for certain classes are new and for the other classes for which similar results exist in the literature, examples are given to support that these results are better than the existing ones.
Keywords :
Convex functions , univalent functions , starlike functions , Bessel functions , hypergeometric functions.
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
