Some general coefficient estimates for a new class of analytic and bi-univalent functions defined by a linear combination
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In the present paper, we introduce and investigate a new class of analytic and bi-univalent functions f (z) in the open unit disk U. For this purpose, we make use of a linear combination of the following three functions: f(z)/z, f'(z) and z f''(z) for a function belonging to the normalized univalent function class S. By applying the technique involving the Faber polynomials, we determine estimates for the general Taylor-Maclaurin coefficient of functions belonging to the analytic and bi-univalent function class which we have introduced here. We also demonstrate the not-too-obvious behaviour of the first two Taylor-Maclaurin coefficients of such functions.
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2020 ◽
Vol 9
(12)
◽
pp. 10091-10102
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2019 ◽
Vol 12
(02)
◽
pp. 1950017
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