Starlikeness Associated with the Van Der Pol Numbers

Mohsan Raza; Hari Mohan Srivastava; Qin Xin; Fairouz Tchier; Sarfraz Nawaz Malik; Muhammad Arif

doi:10.3390/math11102231

Starlikeness Associated with the Van Der Pol Numbers

Mohsan Raza, Hari Mohan Srivastava, Qin Xin, Fairouz Tchier, Sarfraz Nawaz Malik, Muhammad Arif

Research output: Contribution to journal › Article › peer-review

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Abstract

n this paper, we define a subclass of starlike functions associated with the Van der Pol numbers. For this class, we derive structural formula, radius of starlikeness of order 𝛼
, strong starlikeness, and some inclusion results. We also study radii problems for various classes of analytic functions. Furthermore, we investigate some coefficient-related problems which include the sharp initial coefficient bounds and sharp bounds on Hankel determinants of order two and three.

Original language	English
Article number	2231
Number of pages	22
Journal	Mathematics
Volume	11
Issue number	10
DOIs	https://doi.org/10.3390/math11102231
Publication status	Published - 10 May 2023

Keywords

analytic functions
Van der Pol numbers
starlike functions
coefficient bounds
Hankel determinants
radii problems

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10.3390/math11102231Licence: CC BY

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title = "Starlikeness Associated with the Van Der Pol Numbers",

abstract = "n this paper, we define a subclass of starlike functions associated with the Van der Pol numbers. For this class, we derive structural formula, radius of starlikeness of order 𝛼, strong starlikeness, and some inclusion results. We also study radii problems for various classes of analytic functions. Furthermore, we investigate some coefficient-related problems which include the sharp initial coefficient bounds and sharp bounds on Hankel determinants of order two and three.",

keywords = "analytic functions, Van der Pol numbers, starlike functions, coefficient bounds, Hankel determinants, radii problems",

author = "Mohsan Raza and Srivastava, {Hari Mohan} and Qin Xin and Fairouz Tchier and Malik, {Sarfraz Nawaz} and Muhammad Arif",

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T1 - Starlikeness Associated with the Van Der Pol Numbers

AU - Raza, Mohsan

AU - Srivastava, Hari Mohan

AU - Xin, Qin

AU - Tchier, Fairouz

AU - Malik, Sarfraz Nawaz

AU - Arif, Muhammad

PY - 2023/5/10

Y1 - 2023/5/10

N2 - n this paper, we define a subclass of starlike functions associated with the Van der Pol numbers. For this class, we derive structural formula, radius of starlikeness of order 𝛼, strong starlikeness, and some inclusion results. We also study radii problems for various classes of analytic functions. Furthermore, we investigate some coefficient-related problems which include the sharp initial coefficient bounds and sharp bounds on Hankel determinants of order two and three.

AB - n this paper, we define a subclass of starlike functions associated with the Van der Pol numbers. For this class, we derive structural formula, radius of starlikeness of order 𝛼, strong starlikeness, and some inclusion results. We also study radii problems for various classes of analytic functions. Furthermore, we investigate some coefficient-related problems which include the sharp initial coefficient bounds and sharp bounds on Hankel determinants of order two and three.

KW - analytic functions

KW - Van der Pol numbers

KW - starlike functions

KW - coefficient bounds

KW - Hankel determinants

KW - radii problems

UR - https://doi.org/10.3390/math11102231

U2 - 10.3390/math11102231

DO - 10.3390/math11102231

M3 - Article

SN - 2227-7390

VL - 11

JO - Mathematics

JF - Mathematics

IS - 10

M1 - 2231

ER -

Starlikeness Associated with the Van Der Pol Numbers

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Keywords

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