On a subclass related to Bazilevič functions

Sadaf Umar; Muhammad Arif; Mohsan Raza; See Keong Lee; Sadaf Umar; Muhammad Arif; Mohsan Raza; See Keong Lee

doi:10.3934/math.2020135

AIMS Mathematics

2020, Volume 5, Issue 3: 2040-2056. doi: 10.3934/math.2020135

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Research article

On a subclass related to Bazilevič functions

1.
Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan
2.
Department of Mathematics, Government College University, Faisalabad, Pakistan
3.
School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Penang, Malaysia

Received: 25 October 2019 Accepted: 03 January 2020 Published: 24 February 2020
MSC : 30C45, 30C50

The present paper introduces and studies a subclass of analytic functions defined by using the concept of Bazilevič and Janowski functions. Various properties such as coefficient estimates, Fekete-Szegö type inequalities, arc length problem and growth rate of coefficients are investigated for related functions.
- univalent functions,
- subordination,
- Bazilevič functions,
- Janowski functions,
- strongly starlike functions,
- Fekete-Szeö inequalities
Citation: Sadaf Umar, Muhammad Arif, Mohsan Raza, See Keong Lee. On a subclass related to Bazilevič functions[J]. AIMS Mathematics, 2020, 5(3): 2040-2056. doi: 10.3934/math.2020135

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Abstract

The present paper introduces and studies a subclass of analytic functions defined by using the concept of Bazilevič and Janowski functions. Various properties such as coefficient estimates, Fekete-Szegö type inequalities, arc length problem and growth rate of coefficients are investigated for related functions.

References

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