Let Γ be a simple graph and I ( x ) its multivariate independence polynomial. The main result of this paper is the characterization chordal graphs as only for which power series expansion − 1 Horn hypergeometric.

In this work, we introduce and investigate a new subclass of analytic bi-univalent functions based on subordination conditions between the zero-truncated Poisson distribution Gegenbauer polynomials. More precisely, will estimate first two initial Taylor–Maclaurin coefficients solve Fekete–Szegö functional problem for belonging to subclass.