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Coefficient bounds for a subclass of bi-univalent functions associated with Dziok-Srivastava operator

Saeed Hashemi Sababe|Mohammad Mehdi Shabani
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2022.03|한국수학논문집 (Korean Journal of Mathematics)|제30권 제1호|pp. 73-80

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참고문헌

키워드

Bi-univalent functionsDziok-Srivastava operatorCoefficient estimates.
주제분류수학

초록

In this article, we represent and examine a new subclass of holomorphic and bi-univalent functions defined in the open unit disk $\mathfrak{U}$, which is associated with the Dziok-Srivastava operator. Additionally, we get upper bound estimates on the Taylor-Maclaurin coefficients $|a_{2}|$ and $|a_{3}|$ of functions in the new class and improve some recent studies.

Abstract

In this article, we represent and examine a new subclass of holomorphic and bi-univalent functions defined in the open unit disk $\mathfrak{U}$, which is associated with the Dziok-Srivastava operator. Additionally, we get upper bound estimates on the Taylor-Maclaurin coefficients $|a_{2}|$ and $|a_{3}|$ of functions in the new class and improve some recent studies.

참고문헌 (17)

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  13. Mohammad Mehdi Shabani, "Some distortion theorems for new subclass of harmonic univalent functions", 호남수학학술지, 42(4), pp.701~717 (2020), 호남수학회
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