Chebyshev polynomial coefficient estimates for a class of analytic bi-univalent functions related to pseudo-starlike functions

Initial Bounds for Certain Classes of Bi-Univalent Functions Defined by Horadam Polynomials

“…In view of Remark 1, the bi-univalent function class S * 휎 (푥) reduces to S * 휎 (푡) and this class was studied earlier in [3,12]. For functions in the class S * 휎 (휆, 푥), the following coefficient estimates and Fekete-Szegö inequality are obtained.…”

Coefficient Bounds and Fekete-Szeg¨o inequality for a Certain Families of Bi-Prestarlike Functions Defined by (M,N)-Lucas Polynomials

“…A function U ∈ A is said to be bi-univalent in O if both U and U −1 are univalent in O, let we name by the notation E the set of bi-univalent functions in O satisfying (1.1). In fact, Srivastava et al [32] refreshed the study of holomorphic and biunivalent functions in recent years, it was followed by other works as those by Frasin and Aouf [15], Altinkaya and Yalçin Journal of Advances in Mathematics Vol 20 (2021) ISSN: 2347-1921 https://rajpub.com/index.php/jam [5], Güney et al [16] and others (see, for example [1,3,8,10,11,18,21,22,23,26,27,28,29,30,31,33,34,35,38,39,41]).…”

Initial coefficient estimates for a classes of m-fold symmetric bi-univalent functions involving Mittag-Leffler function

“…We denote by Σ the class of bi-univalent functions in U satisfying (1). In fact, Srivastava et al [18] have actually revived the study of analytic and bi-univalent functions in recent years, it was followed by such works as those by Murugusundaramoorthy et al [11], Caglar et al [4], Adegani et al [1] and others (see, for example [8,13,14,17,25]).…”