Geometric Properties of Generalized Bessel Functions
Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 1
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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.
Classification :
30C45, 33C10, 33C20.
@article{BMMS_2012_35_1_a16,
author = {Saiful R. Mondal and A. Swaminathan},
title = {Geometric {Properties} of {Generalized} {Bessel} {Functions}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2012},
volume = {35},
number = {1},
url = {http://geodesic.mathdoc.fr/item/BMMS_2012_35_1_a16/}
}
Saiful R. Mondal; A. Swaminathan. Geometric Properties of Generalized Bessel Functions. Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2012_35_1_a16/