Certain Geometric Properties of Lommel and Hyper-Bessel Functions

Saima Mushtaq, Mohsan Raza and Muhey U Din
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Saima Mushtaq: Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan
Mohsan Raza: Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan
Muhey U Din: Department of Mathematics, Government Post Graduate Islamia College Faisalabad, Faisalabad 38000, Pakistan

Mathematics, 2019, vol. 7, issue 3, 1-12

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.

Keywords: close-to-convexity; analytic functions; normalized lommel functions; normalized hyper-bessel functions; strongly convexity; strongly starlikeness (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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