The aim of the present article is to introduce and investigate a new family LΣ(δ,η,θ,t;h) normalized holomorphic bi-univalent functions that involve Sakaguchi-type Bazilevič θ-pseudo-starlike associated with Laguerre polynomials. We obtain estimates on initial Taylor–Maclaurin coefficients Fekete–Szegö problem for in this family. Properties symmetry can be studied newly functions.

In this present paper, we define a new operator in conjugation with the basic (or q-) calculus. We then make use of newly defined and class analytic bi-univalent functions associated q-derivative operator. Furthermore, find initial Taylor–Maclaurin coefficients for these function classes functions. also show that bounds are sharp. The sharp second Hankel determinant is given class.

In the present paper, a general subclass Mh,p ?m (?, ?) of m-Fold symmetric bi-univalent functions is de?ned. Also, estimates TaylorMaclaurin coefficients |am+1|, |a2m+1| and Fekete-Szegö problems are obtained for in this new subclass. The results presented paper would generalize improve some recent works several earlier authors.

In this work, we investigate the (p, q)-Gegenbauer polynomials for a class of analytic and bi-univalent functions defined in open unit disk, with respect to subordination. We give an elementary proof establish some estimates coefficient bounds new class. conclude study by giving result Fekete-Szegö theorem. A corollary was given show results subclasses our

In the present paper, we investigate two new subclasses 〖AR〗_(Σ_m ) (δ,λ;α) and (δ,λ;β) of Σ_m consisting m-fold symmetric holomorphic bi-univalent functions in open unit disk Δ. For from classes described here, obtain estimates on initial bounds |d_(m+1) | |d_(2m+1) |. addition, get special cases for our results.

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 study, a new class RΣμ(x,γ,α,δ,β) of bi-univalent functions studied by means Gegenbauer polynomials (GP) with Rabotnov is introduced. The coefficient the Taylor coefficients a2 and a3 Fekete-Szegö problems for belonging to have been derived as well. Furthermore, variety results will appear considering parameters in main results.

In the current work, we introduce a special family of function analytic and m-fold symmetric bi-univalent functions obtain estimates Taylor–Maclaurin coefficients |dm+1| |d2m+1| for in family. For ? real number, Fekete–Szegö functional |d2m+1??dm+12| is also estimated. We indicate several cases defined connections to existing results are discussed.

The q-derivative and Hohlov operators have seen much use in recent years. First, numerous well-known principles of the operator are highlighted explained this research. We then build a novel subclass analytic bi-univalent functions using certain q-Chebyshev polynomials. A number coefficient bounds, as well Fekete–Szegö inequalities second Hankel determinant provided for these newly specified fu...

In the current study, we provide a novel qualitative new subclass of analytical and bi-univalent functions in symmetry domain U defined by use Gegenbauer polynomials. We derive estimates for Fekete–Szegö functional problems Taylor–Maclaurin coefficients a2 a3 that belong to each these subclasses function classes. Some more results are revealed after concentrating on parameters employed our main...