Coefficient inequality for certain subclasses of analytic functions associated with Hankel determinant

D. Vamshee Krishna () and T. Ram Reddy ()
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D. Vamshee Krishna: GITAM University
T. Ram Reddy: Kakatiya University

Indian Journal of Pure and Applied Mathematics, 2015, vol. 46, issue 1, 91-106

Abstract: Abstract The objective of this paper is to obtain an upper bound to the functional |a 2 a 4 − a 3 2 | for the function f and its inverse belonging to certain subclasses of analytic functions, using Toeplitz determinants.

Keywords: Analytic function; λ-spiral starlike and convex λ-spiral functions; upper bound; second Hankel determinant; positive real function; Toeplitz determinants (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s13226-015-0111-1

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