Geodesic
Hankel determinant of certain orders for some subclasses of holomorphic functions
Ural mathematical journal, Tome 8 (2022) no. 1, pp. 128-135

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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. 
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     author = {D. Vamshee Krishna and D. Shalini},
     title = {Hankel determinant of certain orders for some subclasses of holomorphic functions},
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     pages = {128--135},
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     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UMJ_2022_8_1_a10/}
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D. Vamshee Krishna; D. Shalini. Hankel determinant of certain orders for some subclasses of holomorphic functions. Ural mathematical journal, Tome 8 (2022) no. 1, pp. 128-135. http://geodesic.mathdoc.fr/item/UMJ_2022_8_1_a10/