Estimation of coefficient bounds for a subclass of analytic functions using Chebyshev polynomials

Koride, Ganesh; Rayaprolu, Bharavi Sharma; Maroju, Hari Priya

doi:10.1063/1.5112331

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Introduction and Definitions1

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2022

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“…Recently, the Komatu integral operator [14] was utilized to investigate a novel subclass of univalent functions as well as Chebyshev polynomials. Researchers on the Univalent function using the Chebyshev polynomial have recently contributed [15][16][17][18][19]. The q-analogs of second-order bivariate Chebyshev polynomials were established by Al Salem and Ismail [20].…”

Section: Introduction and Definitionsmentioning

confidence: 99%

Certain Subclasses of Univalent Functions Linked with q-Chebyshev Polynomial

Shaba

Olabisi

2022

EJMS

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The solutions provided in this work address the classic but still relevant topic of establishing new classes of univalent functions linked to $q$-Chebyshev polynomials and examining coefficient estimates features. Aspects of quantum calculus are also considered in this research to make it more unique and produce more pleasing outcomes. We introduce new classes of univalent functions connected to $q$-Chebyshev polynomials, which generalize certain previously investigated classes. The link among the previously published findings and the current ones are noted. For each of the new classes, estimates for the Taylor-Maclaurin coefficients $|r_2|$ and $|r_3|$ are derived and the much-studied Fekete-Szegö functional.

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