Certain Geometric Properties of Lommel and Hyper-Bessel Functions

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 discu...

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Main Authors:	Saima Mushtaq, Mohsan Raza, Muhey U Din
Format:	Article
Language:	English
Published:	MDPI AG 2019-03-01
Series:	Mathematics
Subjects:	close-to-convexity analytic functions normalized lommel functions normalized hyper-bessel functions strongly convexity strongly starlikeness
Online Access:	http://www.mdpi.com/2227-7390/7/3/240

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spelling	doaj-aa587d4160094ba9b6771b4292db4b322020-11-24T22:07:41ZengMDPI AGMathematics2227-73902019-03-017324010.3390/math7030240math7030240Certain Geometric Properties of Lommel and Hyper-Bessel FunctionsSaima Mushtaq0Mohsan Raza1Muhey U Din2Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, PakistanDepartment of Mathematics, Government College University Faisalabad, Faisalabad 38000, PakistanDepartment of Mathematics, Government Post Graduate Islamia College Faisalabad, Faisalabad 38000, PakistanIn 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.http://www.mdpi.com/2227-7390/7/3/240close-to-convexityanalytic functionsnormalized lommel functionsnormalized hyper-bessel functionsstrongly convexitystrongly starlikeness
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Saima Mushtaq Mohsan Raza Muhey U Din
spellingShingle	Saima Mushtaq Mohsan Raza Muhey U Din Certain Geometric Properties of Lommel and Hyper-Bessel Functions Mathematics close-to-convexity analytic functions normalized lommel functions normalized hyper-bessel functions strongly convexity strongly starlikeness
author_facet	Saima Mushtaq Mohsan Raza Muhey U Din
author_sort	Saima Mushtaq
title	Certain Geometric Properties of Lommel and Hyper-Bessel Functions
title_short	Certain Geometric Properties of Lommel and Hyper-Bessel Functions
title_full	Certain Geometric Properties of Lommel and Hyper-Bessel Functions
title_fullStr	Certain Geometric Properties of Lommel and Hyper-Bessel Functions
title_full_unstemmed	Certain Geometric Properties of Lommel and Hyper-Bessel Functions
title_sort	certain geometric properties of lommel and hyper-bessel functions
publisher	MDPI AG
series	Mathematics
issn	2227-7390
publishDate	2019-03-01
description	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.
topic	close-to-convexity analytic functions normalized lommel functions normalized hyper-bessel functions strongly convexity strongly starlikeness
url	http://www.mdpi.com/2227-7390/7/3/240
work_keys_str_mv	AT saimamushtaq certaingeometricpropertiesoflommelandhyperbesselfunctions AT mohsanraza certaingeometricpropertiesoflommelandhyperbesselfunctions AT muheyudin certaingeometricpropertiesoflommelandhyperbesselfunctions
_version_	1725819105169113088

Certain Geometric Properties of Lommel and Hyper-Bessel Functions

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