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Ural Math. J., 2022 Volume 8, Issue 1, Pages 128–135 (Mi umj166)

Hankel determinant of certain orders for some subclasses of holomorphic functions

D. Vamshee Krishnaa, D. Shalinib

a Gandhi Institute of Technology and Management
b Dr. Babasaheb Ambedkar Marathwada University, Aurangabad

Abstract: In this paper, we are introducing certain subfamilies of holomorphic functions and making an attempt to obtain an upper bound (UB) to the second and third order Hankel determinants by applying certain lemmas, Toeplitz determinants, for the normalized analytic functions belong to these classes, defined on the open unit disc in the complex plane. For one of the inequality, we have obtained sharp bound.

Keywords: holomorphic function, upper bound, hankel determinant, positive real function.

Language: English

DOI: 10.15826/umj.2022.1.011



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© Steklov Math. Inst. of RAS, 2024