2023-08-232023-08-231984Moak, D.S.. 1984. An Application of Hypergeometric Functions to a Problem in Function Theory. International Journal of Mathematics and Mathematical Sciences, 7(3). https://doi.org/10.1155/S0161171284000545https://doi.org/10.1155/S0161171284000545https://hdl.handle.net/2346/95700cc-byIn some recent work in univalent function theory, Aharonov, Friedland, and Brannan studied the series, [formula omitted]. Brannan posed the problem of determining [formula omitted]. Brannan showed that if β ≥ α ≥ 0, and α ┴ β ≥ 2, then (α, β) ε S. He also proved that (α, 1) ε S for α ≥ 1. Brannan showed that for 0 < α < 1 and β = 1, there exists a θ such that [formula omitted] for k any integer. In this paper, we show that (α, β) ε S for α ≥ 1 and β ≥ 1. © 1987, Hindawi Publishing Corporation. All rights reserved.engHypergeometric FunctionJacobi PolynomialsMaximum propertypositive maximum propertyArticle