Mathematica Bohemica, Vol. 142, No. 1, pp. 75-84, 2017
An application of the generalized Bessel function
Hanan Darwish, Abdel Moneim Lashin, Bashar Hassan
Received January 18, 2016. First published November 8, 2016.
Abstract: We introduce and study some new subclasses of starlike, convex and close-to-convex functions defined by the generalized Bessel operator. Inclusion relations are established and integral operator in these subclasses is discussed.
Keywords: Bessel operator; starlike function; convex function; close-to-convex function
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Affiliations: Hanan Darwish, Abdel Moneim Lashin, Bashar Hassan, Department of Mathematics, Faculty of Science, Mansoura University, El Gomhouria St., 35516 Mansoura, Egypt, e-mail: darwish333@yahoo.com, aylashin@mans.edu.eg, basharfalh@yahoo.com
