In this paper, we introduce three new subclasses of the function class Σ of bi-univalent functions involving the Poisson distribution associated with Horadam polynomials. Furthermore, we obtain estimates on the first two coefficients of functions in these new subclasses. Also, Fekete-Szegö inequalities of functions belonging to these subclasses are founded.
In the present article, we introduce two new subclasses of λ-pseudo biunivalent functions with respect to symmetrical points in the open unit disk U defined by means of the Horadam polynomials. For functions belonging to these subclasses , estimates on the Taylor-Maclaurin coefficients ja2j and ja3j are obtained. Fekete-Szegö inequalities of functions belonging to these subclasses are also founded. Furthermore, we point out several new special cases of our results.
( , ; ). Further, by using the method of differential subordination, certain inclusion relations between the two subclasses aforementioned are given. Moreover, several consequences of the main results are also discussed.
In this paper, a new subclass of pseudo-type meromorphic biunivalent functions is de…ned on 4 = fz j : z 2 C and 1 < jzj < 1g; we derive estimates on the initial coe¢ cient jb 0 j, jb 1 j and jb 2 j. Relevant connections of the new results with various well-known results are indicated.
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