Open AccessHankel determinant for a class of analytic functions of complex order defined by convolution
Author(s) -
Sheza M. El-Deeb,
M. K. Aouf
Publication year - 2015
Publication title -
annales universitatis mariae curie-skłodowska. sectio a, mathematica
Language(s) - English
Resource type - Journals
eISSN - 2083-7402
pISSN - 0365-1029
DOI - 10.17951/a.2015.69.2.47-59
Subject(s) - convolution (computer science) , class (philosophy) , mathematics , order (exchange) , convolution power , pure mathematics , analytic function , algebra over a field , combinatorics , mathematical analysis , fourier transform , computer science , fourier analysis , finance , artificial intelligence , machine learning , artificial neural network , fractional fourier transform , economics
In this paper, we obtain the Fekete-Szego inequalities for the functions of complex order defined by convolution. Also, we find upper bounds for the second Hankel determinant \(|a_2a_4-a_3^2|\) for functions belonging to the class \(S_{\gamma}^b(g(z);A,B)\).