Hankel determinant for a general subclass of m-fold symmetric biunivalent functions defined by Ruscheweyh operators

Pishtiwan Othman Sabir; Ravi P. Agarwal; Shabaz Jalil Mohammedfaeq; Pshtiwan Othman Mohammed; Nejmeddine Chorfi; Thabet Abdeljawad

doi:10.1186/s13660-024-03088-3

Hankel determinant for a general subclass of m-fold symmetric biunivalent functions defined by Ruscheweyh operators

Pishtiwan Othman Sabir
, Ravi P. Agarwal
, Shabaz Jalil Mohammedfaeq
, Pshtiwan Othman Mohammed^*
, Nejmeddine Chorfi
, Thabet Abdeljawad^*

^*Corresponding author for this work

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

10 Citations (Scopus)

Abstract

Making use of the Hankel determinant and the Ruscheweyh derivative, in this work, we consider a general subclass of m-fold symmetric normalized biunivalent functions defined in the open unit disk. Moreover, we investigate the bounds for the second Hankel determinant of this class and some consequences of the results are presented. In addition, to demonstrate the accuracy on some functions and conditions, most general programs are written in Python V.3.8.8 (2021).

Original language	English
Article number	14
Journal	Journal of Inequalities and Applications
Volume	2024
Issue number	1
DOIs	https://doi.org/10.1186/s13660-024-03088-3
Publication status	Published - 2024
Externally published	Yes

Keywords

Analytic and univalent functions
Hankel determinant
Ruscheweyh derivative
m-fold symmetric biunivalent functions
m-fold symmetric univalent functions

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10.1186/s13660-024-03088-3

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title = "Hankel determinant for a general subclass of m-fold symmetric biunivalent functions defined by Ruscheweyh operators",

abstract = "Making use of the Hankel determinant and the Ruscheweyh derivative, in this work, we consider a general subclass of m-fold symmetric normalized biunivalent functions defined in the open unit disk. Moreover, we investigate the bounds for the second Hankel determinant of this class and some consequences of the results are presented. In addition, to demonstrate the accuracy on some functions and conditions, most general programs are written in Python V.3.8.8 (2021).",

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doi = "10.1186/s13660-024-03088-3",

language = "English",

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T1 - Hankel determinant for a general subclass of m-fold symmetric biunivalent functions defined by Ruscheweyh operators

AU - Sabir, Pishtiwan Othman

AU - Agarwal, Ravi P.

AU - Mohammedfaeq, Shabaz Jalil

AU - Mohammed, Pshtiwan Othman

AU - Chorfi, Nejmeddine

AU - Abdeljawad, Thabet

PY - 2024

Y1 - 2024

N2 - Making use of the Hankel determinant and the Ruscheweyh derivative, in this work, we consider a general subclass of m-fold symmetric normalized biunivalent functions defined in the open unit disk. Moreover, we investigate the bounds for the second Hankel determinant of this class and some consequences of the results are presented. In addition, to demonstrate the accuracy on some functions and conditions, most general programs are written in Python V.3.8.8 (2021).

AB - Making use of the Hankel determinant and the Ruscheweyh derivative, in this work, we consider a general subclass of m-fold symmetric normalized biunivalent functions defined in the open unit disk. Moreover, we investigate the bounds for the second Hankel determinant of this class and some consequences of the results are presented. In addition, to demonstrate the accuracy on some functions and conditions, most general programs are written in Python V.3.8.8 (2021).

KW - Analytic and univalent functions

KW - Hankel determinant

KW - Ruscheweyh derivative

KW - m-fold symmetric biunivalent functions

KW - m-fold symmetric univalent functions

UR - https://www.scopus.com/pages/publications/85183644942

U2 - 10.1186/s13660-024-03088-3

DO - 10.1186/s13660-024-03088-3

M3 - Article

AN - SCOPUS:85183644942

SN - 1025-5834

VL - 2024

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

IS - 1

M1 - 14

ER -

Hankel determinant for a general subclass of m-fold symmetric biunivalent functions defined by Ruscheweyh operators

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Keywords

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