in this paper we introduce and investigate a certain subclass of univalentfunctions which are analytic in the unit disk u.such results as coecientinequalities. the results presented here would provide extensions of those givenin earlier works.

In this paper, we introduce and investigate a subclass of analytic and bi-univalent functions in the open unit disk. Upper bounds for the second and third coefficients of functions in this subclass are founded. Our results, which are presented in this paper, generalize and improve those in related works of several earlier authors.

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...

making use of an extended fractional differintegral operator ( introduced recently by patel and mishra), we introduce a new subclass of multivalent analytic functions and investigate certain interesting properties of this subclass.

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...

Using the Al-Oboudi type operator, we present and investigate two special families of bi-univalent functions connected with activation function \(% \phi (s)=\ 2/(1+e^{-s}),\,s\in \mathbb{R}\) \(k\)-Fibonacci numbers. We derive bounds on initial coefficients Fekete-Szego functional for \(g_{\phi }(z)=z+\sum \limits_{j=2}^{\infty }\phi (s)d_{j}z^{j}\) in these introduced families. Furthermore, in...

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 this paper, we introduce and investigate two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disk, which are associated with the Hohlov operator, that is, a familiar special case of the widely(and extensively-) investigated Dziok-Srivastava linear operator. Furthermore, we find estimates on the Taylor-Maclaurin coefficients |a2| and |a3| for function...

In the present paper, we introduce a new subclass H∑m (λ,β)of the m-fold symmetric bi-univalent functions. Also, we find the estimates of the Taylor-Maclaurin initial coefficients |am+1| , |a2m+1| and general coefficients |amk+1| (k ≥ 2) for functions in this new subclass. The results presented in this paper would generalize and improve some recent works of several earlier authors.

"In this paper, we investigate bounds of the coefficients for subclass analytic and bi-univalent functions. The results presented in paper would generalize improve some recent works other authors."