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Fekete-Szeg\"{o} inequalities for a new general subclass of analytic functions involving the $\left( p,q\right)$-derivative operator

Serap Bulut
대한수학회 (The Korean Mathematical Society)|2022.07|대한수학회논문집 (Communications of the KMS)|제37권 제3호|pp. 723-734|DOI 10.4134/CKMS.c210196

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키워드

subordinationHadamard product (or convolution)univalent functionAnalytic functionFekete-Szeg\"{o} problemcoefficient inequalities$\left( pq\right)$-derivative operator
주제분류수학

초록

In this work, we introduce a new subclass of analytic functions of complex order involving the $\left( p,q\right) $-derivative operator defined in the open unit disc. For this class, several Fekete-Szeg\"{o} type coefficient inequalities are derived. We obtain the results of Srivastava \textit{et al.~}\cite{SR} as consequences of the main theorem in this study.

Abstract

In this work, we introduce a new subclass of analytic functions of complex order involving the $\left( p,q\right) $-derivative operator defined in the open unit disc. For this class, several Fekete-Szeg\"{o} type coefficient inequalities are derived. We obtain the results of Srivastava \textit{et al.~}\cite{SR} as consequences of the main theorem in this study.

참고문헌 (23)

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