Certain Geometric Properties of Generalized Dini Functions

Muhey U. Din, Mohsan Raza, Saqib Hussain, Maslina Darus

Research output: Contribution to journalArticle

1 Citation (Scopus)

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 order α, convexity of order α, 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 space Hp.

Original languageEnglish
Article number2684023
JournalJournal of Function Spaces
Volume2018
DOIs
Publication statusPublished - 1 Jan 2018

Fingerprint

Convexity
Bessel function of the first kind
Starlike Functions
Starlikeness
Hardy Space
Generalized Functions
Derivative

ASJC Scopus subject areas

  • Analysis

Cite this

Certain Geometric Properties of Generalized Dini Functions. / Din, Muhey U.; Raza, Mohsan; Hussain, Saqib; Darus, Maslina.

In: Journal of Function Spaces, Vol. 2018, 2684023, 01.01.2018.

Research output: Contribution to journalArticle

Din, Muhey U. ; Raza, Mohsan ; Hussain, Saqib ; Darus, Maslina. / Certain Geometric Properties of Generalized Dini Functions. In: Journal of Function Spaces. 2018 ; Vol. 2018.
@article{79c9e1b641434a7ebe1558dd59aae5d2,
title = "Certain Geometric Properties of Generalized Dini Functions",
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 order α, convexity of order α, 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 space Hp.",
author = "Din, {Muhey U.} and Mohsan Raza and Saqib Hussain and Maslina Darus",
year = "2018",
month = "1",
day = "1",
doi = "10.1155/2018/2684023",
language = "English",
volume = "2018",
journal = "Journal of Function Spaces",
issn = "2314-8896",
publisher = "Hindawi Publishing Corporation",

}

TY - JOUR

T1 - Certain Geometric Properties of Generalized Dini Functions

AU - Din, Muhey U.

AU - Raza, Mohsan

AU - Hussain, Saqib

AU - Darus, Maslina

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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 α, convexity of order α, 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 space Hp.

AB - 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 α, convexity of order α, 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 space Hp.

UR - http://www.scopus.com/inward/record.url?scp=85050860530&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85050860530&partnerID=8YFLogxK

U2 - 10.1155/2018/2684023

DO - 10.1155/2018/2684023

M3 - Article

AN - SCOPUS:85050860530

VL - 2018

JO - Journal of Function Spaces

JF - Journal of Function Spaces

SN - 2314-8896

M1 - 2684023

ER -