Some well-known authors have extensively used orthogonal polynomials in the framework of geometric function theory. We are motivated by previous research that has been conducted and, this study, we solve Fekete–Szegö problem as well give bound estimates for coefficients and an upper estimate second Hankel determinant functions class G?(v,?) analytical bi-univalent functions, implicating Euler p...

In this research contribution, we have constructed a subclass of analytic bi-univalent functions using Horadam polynomials. Bounds for certain coefficients and Fekete- Szegö inequalities been estimated.

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 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 real world there are many applications that find Bell distribution to be a useful and relevant model. One of these is normal distribution. this paper, we develop new subclass analytic bi-univalent functions by making use as building block. These involve Gegenbauer polynomials, them establish our subclass. study, solve Fekete–Szegö functional problem analyse various different estimates Ma...

In the present paper, sharp upper bounds of |a3 −μa2| for the functions f(z) = z + a2z + a3z + · · · belonging to a new subclass of Sakaguchi type functions are obtained. Also, application of our results for subclass of functions defined by convolution with a normalized analytic function are given. In particular, Fekete-Szegö inequalities for certain classes of functions defined through fractio...