[HTML][HTML] On initial coefficient inequalities for certain new subclasses of bi-univalent functions

UH Naik, AB Patil - Journal of the Egyptian Mathematical Society, 2017 - Elsevier
Journal of the Egyptian Mathematical Society, 2017Elsevier
… In the present paper, we introduce two interesting subclasses of the class of bi-univalent
functions defined on the open unit disk U and obtain improved estimates on the initial
coefficients |a 2 |, |a 3 | and |a 4 | for the functions in these subclasses. … Recently many
researchers (viz [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22],
[23], [24], [25], [26]) obtained initial coefficient estimates for the functions in various subclasses
of bi-univalent functions. In 1972, the following univalence criterion was proved by Ozaki and …
In the present paper, we introduce two interesting subclasses of the class of bi-univalent functions defined on the open unit disk U and obtain improved estimates on the initial coefficients| a 2|,| a 3| and| a 4| for the functions in these subclasses.
Elsevier
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