Geodesic
Hankel determinant of third kind for certain subclass of multivalent
Vladikavkazskij matematičeskij žurnal, Tome 22 (2020) no. 1, pp. 43-48

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The objective of this paper is to obtain an upper bound (not sharp) to the third order Hankel determinant for certain subclass of multivalent ($p$-valent) analytic functions, defined in the open unit disc $E$. Using the Toeplitz determinants, we may estimate the Hankel determinant of third kind for the normalized multivalent analytic functions belongng to this subclass. But, using the technique adopted by Zaprawa [1], i. e., grouping the suitable terms in order to apply Lemmas due to Hayami [2], Livingston [3] and Pommerenke [4], we observe that, the bound estimated by the method adopted by Zaprawa is more refined than using upon applying the Toeplitz determinants. 
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     author = {D. Vamshee Krishna and D. Shalini},
     title = {Hankel determinant of third kind for certain subclass of multivalent},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
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D. Vamshee Krishna; D. Shalini. Hankel determinant of third kind for certain subclass of multivalent. Vladikavkazskij matematičeskij žurnal, Tome 22 (2020) no. 1, pp. 43-48. http://geodesic.mathdoc.fr/item/VMJ_2020_22_1_a3/