Geodesic
Estimates concerned with Hankel determinant for M (α) class
Filomat, Tome 36 (2022) no. 11, p. 3679

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DOI

In this paper, we give an upper bound of Hankel determinant of (H 2 (1)) for the classes of M (α), α ∈ C. Also, for M (α), we obtain a sharp estimate for the classical Fekete-Szegö inequality. That is, we will get a sharp upper bound for the Hankel determinant H 2 (1) = c 3 − c 2 2. Moreover, in a class of analytic functions on the unit disc, assuming the existence of angular limit on the boundary point, the estimations below of the modulus of angular derivative have been obtained.
DOI : 10.2298/FIL2211679A
Classification : 30C80, 32A10
Keywords: Fekete-Szegö functional, Hankel determinant, Analytic function, Schwarz lemma. Angular derivative 
Selin Aydinoğlu; Bülent Nafi Örnek. Estimates concerned with Hankel determinant for M (α) class. Filomat, Tome 36 (2022) no. 11, p. 3679 . doi: 10.2298/FIL2211679A
@article{10_2298_FIL2211679A,
     author = {Selin Aydino\u{g}lu and B\"ulent Nafi \"Ornek},
     title = {Estimates concerned with {Hankel} determinant for {M} (\ensuremath{\alpha}) class},
     journal = {Filomat},
     pages = {3679 },
     year = {2022},
     volume = {36},
     number = {11},
     doi = {10.2298/FIL2211679A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2211679A/}
}
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