In the present work, we aim to introduce and investigate a novel comprehensive subclass of normalized analytic bi-univalent functions involving Gegenbauer polynomials zero-truncated Poisson distribution. For in aforementioned class, find upper estimates second third Taylor–Maclaurin coefficients, then solve Fekete–Szegö functional problem. Moreover, by setting values parameters included our mai...

In this paper, we introduce a new comprehensive subclass ?B(?,?,?) of meromorphic bi-univalent functions in the open unit disk U. We also find upper bounds for initial Taylor-Maclaurin coefficients |b0|, |b1| and |b2| subclass. Moreover, obtain estimates general |bn|(n?1) by making use Faber polynomial expansion method. The results presented paper would generalize improve several recent works o...

By using the generalization of neutrosophic q-Poisson distribution series, we introduce a new subclass analytic and bi-univalent functions defined in open unit disk. We then apply q-Gegenbauer polynomials to investigate estimates for Taylor coefficients Fekete–Szegö type inequalities belonging this subclass. In addition, consider several corollaries consequences results presented paper. The is ...