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
From page
179
To page
194
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
Record number
2550020
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