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NEW SUBCLASSES OF BI-UNIVALENT FUNCTIONS WITH RESPECT TO THE q-SYMMETRIC POINTS DEFINED BY BERNOULLI POLYNOMIALS

NEW SUBCLASSES OF BI-UNIVALENT FUNCTIONS WITH RESPECT TO THE q-SYMMETRIC POINTS DEFINED BY BERNOULLI POLYNOMIALS

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The objective of this paper is to introduce and investigate new subclass of bi-univalent functions with respect to the symmetric points in &#x1D54C; = {z &#x2208; &#x2102; : &#x007C;z&#x007C; < 1} using Bernoulli polynomials. For functions belonging to this class, we obtain upper bounds for Taylor-Maclaurin coefficients &#x007C;a<sub>2</sub>&#x007C;, &#x007C;a<sub>3</sub>&#x007C; and Fekete-Szeg&#x00F6; inequalities &#x007C;a<sub>3</sub> - &#x1D707;a<sup>2</sup><sub>2</sub>&#x007C; for these new subclasses.

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