Hankel determinants for q-starlike functions connected with q-sine function

Yusra Taj; Saira Zainab; Qin Xin; Fairouz Tchier; Sarfraz Nawaz Malik

doi:10.1515/dema-2024-0044

Hankel determinants for q-starlike functions connected with q-sine function

Yusra Taj
, Saira Zainab
, Qin Xin
, Fairouz Tchier
, Sarfraz Nawaz Malik

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

Abstract

This article comprises the study of a new class of starlike functions, which is defined by 𝑞 -fractional operator and subordination to the 𝑞 -analog of sine function. This 𝑞 -sine function is defined by using the 𝑞 -exponential function and has the symmetric geometric structure. Certain coefficient problems are discussed for the newly defined class 𝑆∗
𝑞⁢sin , which include four coefficient bounds and the upper bounds of second and third Hankel determinants. Kruskal’s inequality for this class is also a part of this study.

Original language	English
Article number	dema-2024-0044
Number of pages	23
Journal	Demonstratio Mathematica
Volume	58
Issue number	1
DOIs	https://doi.org/10.1515/dema-2024-0044
Publication status	Published - 27 Jun 2025

Keywords

analytic function, univalent function, q-fractional derivative (or difference) operator, factorial functional, q-exponential function, q-starlike functions

Access to Document

10.1515/dema-2024-0044Licence: CC BY

10.1515_dema-2024-0044Licence: CC BY

Cite this

@article{3cd840d8214744b4a98c9581df8789d5,

title = "Hankel determinants for q-starlike functions connected with q-sine function",

abstract = "This article comprises the study of a new class of starlike functions, which is defined by 𝑞 -fractional operator and subordination to the 𝑞 -analog of sine function. This 𝑞 -sine function is defined by using the 𝑞 -exponential function and has the symmetric geometric structure. Certain coefficient problems are discussed for the newly defined class 𝑆∗ 𝑞⁢sin , which include four coefficient bounds and the upper bounds of second and third Hankel determinants. Kruskal{\textquoteright}s inequality for this class is also a part of this study.",

keywords = "analytic function, univalent function, q-fractional derivative (or difference) operator, factorial functional, q-exponential function, q-starlike functions",

author = "Yusra Taj and Saira Zainab and Qin Xin and Fairouz Tchier and Malik, \{Sarfraz Nawaz\}",

note = "M1 - 20240044",

year = "2025",

month = jun,

day = "27",

doi = "10.1515/dema-2024-0044",

language = "English",

volume = "58",

journal = "Demonstratio Mathematica",

issn = "0420-1213",

publisher = "Walter de Gruyter GmbH",

number = "1",

}

TY - JOUR

T1 - Hankel determinants for q-starlike functions connected with q-sine function

AU - Taj, Yusra

AU - Zainab, Saira

AU - Xin, Qin

AU - Tchier, Fairouz

AU - Malik, Sarfraz Nawaz

N1 - M1 - 20240044

PY - 2025/6/27

Y1 - 2025/6/27

N2 - This article comprises the study of a new class of starlike functions, which is defined by 𝑞 -fractional operator and subordination to the 𝑞 -analog of sine function. This 𝑞 -sine function is defined by using the 𝑞 -exponential function and has the symmetric geometric structure. Certain coefficient problems are discussed for the newly defined class 𝑆∗ 𝑞⁢sin , which include four coefficient bounds and the upper bounds of second and third Hankel determinants. Kruskal’s inequality for this class is also a part of this study.

AB - This article comprises the study of a new class of starlike functions, which is defined by 𝑞 -fractional operator and subordination to the 𝑞 -analog of sine function. This 𝑞 -sine function is defined by using the 𝑞 -exponential function and has the symmetric geometric structure. Certain coefficient problems are discussed for the newly defined class 𝑆∗ 𝑞⁢sin , which include four coefficient bounds and the upper bounds of second and third Hankel determinants. Kruskal’s inequality for this class is also a part of this study.

KW - analytic function, univalent function, q-fractional derivative (or difference) operator, factorial functional, q-exponential function, q-starlike functions

U2 - 10.1515/dema-2024-0044

DO - 10.1515/dema-2024-0044

M3 - Article

SN - 0420-1213

VL - 58

JO - Demonstratio Mathematica

JF - Demonstratio Mathematica

IS - 1

M1 - dema-2024-0044

ER -

Hankel determinants for q-starlike functions connected with q-sine function

Abstract

Keywords

Access to Document

Fingerprint

Cite this