In the real world, there are many applications that find Pascal distribution to be a useful and relevant model. One of these is normal distribution. this work, we develop new subclass analytic bi-univalent functions by making use q-Pascal series as construction. These involve q-Gegenbauer polynomials, them establish our subclass. Moreover, solve Fekete–Szegö functional problem analyze various d...

In the present investigation, with motivation from pioneering work of Srivastava et al. [28], which in recent years actually revived study analytic and bi-univalent functions, we introduce subclasses T*?(n,?) T?(n,?) function class ? defined open unit disk U = {z C : |z| < 1g involving S?l?gean derivative operator Dn. Moreover, derive estimates on initial coefficients |a2| |a3| for functions...

This article defines a new operator called the q-Babalola convolution by using quantum calculus and of normalized analytic functions in open unit disk. We then study class bi-univalent defined disk associated with operator. The main results investigation include some upper bounds for initial Taylor–Maclaurin coefficients Fekete–Szego inequalities class. Many applications finds are highlighted c...