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In this paper, we introduce and investigate a subclass \linebreak $\Im _{\Sigma }\left( \alpha ,\beta ,{\gamma }\right) $ of analytic and bi-univalent functions of complex order in the open unit disk $U$ in complex plane. Here, we obtain an upper bound for the second Hankel determinant of the functions belonging to this class. Moreover, several interesting conclusions of the results obtained here are also discussed.
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참고문헌 (36)
참고문헌 신청
O. Altintaş / 2000 / Neighborhoods of a class of analytic functions with negative coefficients / Applied Mathematics Letters 13(3):63~67
D. A. Brannan / 1980 / Aspects of Contemporary Complex Analysis / Academic Press, Inc
D. A. Brannan / 1985 / On some classes of bi-univalent functions / Math and Appl Kuwait :18~21
David G. Cantor / 1963 / Power series with integral coefficients / Bulletin of the American Mathematical Society 69(3):362~367
M. C aꠘglar / 2016 / Fekete-Szeg inequalities for subclasses of bi-univalent functions satisfying subordinate conditions / AIP Conference Proceedings 1726
D. A. Brannan / 1980 / Aspects of Contemporary Complex Analysis / Academic Press, Inc
D. A. Brannan / 1985 / On some classes of bi-univalent functions / Math and Appl Kuwait :18~21
David G. Cantor / 1963 / Power series with integral coefficients / Bulletin of the American Mathematical Society 69(3):362~367
M. C aꠘglar / 2016 / Fekete-Szeg inequalities for subclasses of bi-univalent functions satisfying subordinate conditions / AIP Conference Proceedings 1726
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