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.

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

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

Classification (MSC 2010): 30C45

DOI: 10.21136/MB.2017.0006-16

Full text available as PDF.


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