Certain geometric properties of generalized Dini functions
type: Item
instance of: scholarly article
title: Certain geometric properties of generalized Dini functions
zbMATH Open document ID: 1401.33005
DOI: 10.1155/2018/2684023
author: Muhey U. Din
author: Mohsan Raza
author: Saqib Hussain
author: Maslina Darus
published in: Journal of Function Spaces
publication date: 2018-10-29T00:00:00Z
review text: Summary: We are mainly interested in some geometric properties for the combinations of generalized Bessel functions of the first kind and their derivatives known as Dini functions. In particular, we study the starlikeness of order \(\alpha,\) convexity of order \(\alpha\), and close-to-convexity of order \(((1 + \alpha) / 2)\) for normalized Dini function. We also study close-to-convexity with respect to certain star-like functions. Further, we obtain conditions on generalized Dini function to belong to the Hardy space \(\mathcal{H}^p\).
Mathematics Subject Classification ID: 33C10
Mathematics Subject Classification ID: 30C45
zbMATH DE Number: 6967286
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/2684023
OpenAlex ID: W2811538717
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Wikidata QID: Q129539599
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description: scientific article; zbMATH DE number 6967286