Upper Bound of Second Hankel Determinant for Bi-Bazilevic̆ Functions

Second Hankel determinant for certain class of bi-univalent functions defined by Chebyshev polynomials

“…Very recently, the upper bounds of H 2 (2) for the classes S * σ (β) and K σ (β) were discussed by Deniz et al [14]. Later, the upper bounds of H 2 (2) for various subclasses of σ were obtained by Altınkaya and Yalçın [6,7], Ç aglar et al [11], Kanas et al [22] and Orhan et al [32] (see also [28,33]).…”

Third Hankel Determinant for A Class of Functions with Respect to Symmetric Points Associated with Exponential Function

“…Babalola [4] was the first person to study the upper bound of H 3 (1) for subclasses of S. Interested readers can see the work carried by several researchers like Vamshee Krishna et al ( [45], [46]), Prajapat et al ( [32], [33]),Altinkaya and Yalcin [3],Cho et al [8], lecko et al [19], Kowalczyk et al [17],Mohd Narzan et al [27]. Mendiratta et al [26] introduced and studied the class of starlike functions S * e = S * (e z ) defined by…”

A Study of Third Hankel Determinant Problem for Certain Subfamilies of Analytic Functions Involving Cardioid Domain

“…Recently, Srivastava and his coauthors [21] found the estimate of the second Hankel determinant for bi-univalent functions involving the symmetric q-derivative operator, while in [22], the authors studied Hankel and Toeplitz determinants for subfamilies of q-starlike functions connected with the conic domain. For more literature, see [23][24][25][26][27][28][29][30].…”

“…The estimation of the determinant |H 3,1 ( f )| is very hard as compared to deriving the bound of |H 2,2 ( f )|. The very first paper on H 3,1 ( f ) was given in 2010 by Babalola [31], in which he obtained the upper bound of H 3,1 ( f ) for the families of S * , C, and R. Later on, many authors published their work regarding |H 3,1 ( f )| for different subfamilies of univalent functions; see [32][33][34][35][36]. In 2017, Zaprawa [37] improved the results of Babalola as under:…”