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Mathematics 2019, 7(3), 240; https://doi.org/10.3390/math7030240

Certain Geometric Properties of Lommel and Hyper-Bessel Functions

1
Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan
2
Department of Mathematics, Government Post Graduate Islamia College Faisalabad, Faisalabad 38000, Pakistan
*
Author to whom correspondence should be addressed.
Received: 31 December 2018 / Revised: 26 February 2019 / Accepted: 1 March 2019 / Published: 6 March 2019
(This article belongs to the Special Issue Special Functions and Applications)
Full-Text   |   PDF [256 KB, uploaded 8 March 2019]

Abstract

In this article, we are mainly interested in finding the sufficient conditions under which Lommel functions and hyper-Bessel functions are close-to-convex with respect to the certain starlike functions. Strongly starlikeness and convexity of Lommel functions and hyper-Bessel functions are also discussed. Some applications are also the part of our investigation. View Full-Text
Keywords: close-to-convexity; analytic functions; normalized lommel functions; normalized hyper-bessel functions; strongly convexity; strongly starlikeness close-to-convexity; analytic functions; normalized lommel functions; normalized hyper-bessel functions; strongly convexity; strongly starlikeness
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Mushtaq, S.; Raza, M.; Din, M.U. Certain Geometric Properties of Lommel and Hyper-Bessel Functions. Mathematics 2019, 7, 240.

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