Hankel determinant for a class of analytic functions of complex order defined by convolution | Zendy

Sheza M. El-Deeb | Zendy; M. K. Aouf | Zendy

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Hankel 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-sklodowska 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 \(S_{\gamma}^b(g(z);A,B)\).

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