An Application of Hypergeometric Functions to a Problem in Function Theory

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dc.creatorMoak, Daniel S. (TTU)
dc.date.accessioned2023-08-23T16:06:08Z
dc.date.available2023-08-23T16:06:08Z
dc.date.issued1984
dc.descriptioncc-by
dc.description.abstractIn 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.
dc.identifier.citationMoak, 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/S0161171284000545
dc.identifier.urihttps://doi.org/10.1155/S0161171284000545
dc.identifier.urihttps://hdl.handle.net/2346/95700
dc.language.isoeng
dc.subjectHypergeometric Function
dc.subjectJacobi Polynomials
dc.subjectMaximum property
dc.subjectpositive maximum property
dc.titleAn Application of Hypergeometric Functions to a Problem in Function Theory
dc.typeArticle

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