CERTAIN SUBCLASS OF BI-UNIVALENT FUNCTIONS DEFINED BY q-DERIVATIVE OPERATOR INVOLVING POISSON DISTRIBUTION

CERTAIN SUBCLASS OF BI-UNIVALENT FUNCTIONS DEFINED BY q-DERIVATIVE OPERATOR INVOLVING POISSON DISTRIBUTION

P. Nandini, S. Latha

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Abstract

In this paper, by using the q-derivative operator, we define a new subclass of bi-univalent functions involving Poisson distribution series associated with Horadam polynomials. We find estimates for the general Taylor-Maclaurin coefficients and also Fekete-Szeg¨o problem for this class.

Keywords

Univalent and Bi-univalent functions, Fekete-Szeg¨o inequality, Poisson distribution, Horadam polynomials and q-derivative operator.