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Bi-Bazilevič functions based on the Mittag-Leffler-type Borel distribution associated with Legendre polynomials

Bi-Bazilevič functions based on the Mittag-Leffler-type Borel distribution associated with Legendre polynomials

In this paper, using the Mittag-Leffler-type Borel distribution, the authors introduce a new class of bi-Bazilevic functions defined in the open unit disc associated with Legendre polynomials, we find estimates for the general Taylor-Maclaurin coefficients of the functions in the subclass introduced, and the Fekete-Szego problem is solved.