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Horadam polynomials for a new subclass of Sakaguchi-type bi-univalent functions defined by $({p},{q})$-derivative operator

Sibel Yalcin|Vanithakumari Balasubramaniam|Saravanan Gunasekar|Baskaran Sudharsanan
대한수학회 (The Korean Mathematical Society)|2024.04|대한수학회논문집 (Communications of the KMS)|제39권 제2호|pp. 461-470|DOI 10.4134/CKMS.c230285

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키워드

univalent functionsAnalytic functionsFekete-Szeg\"{o} problembi-univalent functionsSakaguchi-type functions$({p}{q})$-derivative operatorHoradam polynomials
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초록

In this paper, a new subclass, $\mathcal{SC}_{\sigma}^{\mu,{p},{q}}({r},{s};x)$, of Sakaguchi-type analytic bi-univalent functions defined by $({p},{q})$-derivative operator using Horadam polynomials is constructed and investigated. The initial coefficient bounds for $|a_{2}|$ and $|a_{3}|$ are obtained. Fekete-Szeg\"{o} inequalities for the class are found. Finally, we give some corollaries.

Abstract

In this paper, a new subclass, $\mathcal{SC}_{\sigma}^{\mu,{p},{q}}({r},{s};x)$, of Sakaguchi-type analytic bi-univalent functions defined by $({p},{q})$-derivative operator using Horadam polynomials is constructed and investigated. The initial coefficient bounds for $|a_{2}|$ and $|a_{3}|$ are obtained. Fekete-Szeg\"{o} inequalities for the class are found. Finally, we give some corollaries.

참고문헌 (21)

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