Starlikeness of Normalized Bessel Functions with Symmetric Points

Nazir, Maryam; Bukhari, Syed Zakar Hussain; Ahmad, Imtiaz; Ashfaq, Muhammad; Raza, Malik Ali

doi:10.1155/2021/9451999

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2022

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The starlikeness of normalized bessel functions with symmetric points is studied in [19]. Recently, certain generalized classes of q-starlike functions have been investigated, see [20,21].…”

Section: Introductionmentioning

confidence: 99%

On Starlike Functions of Negative Order Defined by q-Fractional Derivative

et al. 2022

View full text Add to dashboard Cite

In this paper, two new classes of q-starlike functions in an open unit disc are defined and studied by using the q-fractional derivative. The class Sq*˜(α), α∈(−3,1], q∈(0,1) generalizes the class Sq* of q-starlike functions and the class Tq*˜(α), α∈[−1,1], q∈(0,1) comprises the q-starlike univalent functions with negative coefficients. Some basic properties and the behavior of the functions in these classes are examined. The order of starlikeness in the class of convex function is investigated. It provides some interesting connections of newly defined classes with known classes. The mapping property of these classes under the family of q-Bernardi integral operator and its radius of univalence are studied. Additionally, certain coefficient inequalities, the radius of q-convexity, growth and distortion theorem, the covering theorem and some applications of fractional q-calculus for these new classes are investigated, and some interesting special cases are also included.

show abstract

Section: Introductionmentioning

confidence: 99%