Certain Geometric Properties of Generalized Dini Functions. (11th July 2018)

• Record Type: Journal Article
• Authors: Din, Muhey U.; Raza, Mohsan; Hussain, Saqib; Darus, Maslina
• Other Names: Sugimoto Mitsuru Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2018(2018)
• Publication Date: 2018-07-11
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2018/2684023
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : 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 orderα, convexity of orderα, and close-to-convexity of order( ( 1 + α ) / 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 spaceH p .