Year: 2012
Analysis in Theory and Applications, Vol. 28 (2012), Iss. 1 : pp. 58–64
Abstract
In the present paper, we study certain differential inequalities involving $p$-valent functions and obtain sufficient conditions for uniformly $p$-valent starlikeness and uniformly $p$-valent convexity. We also offer a correct version of some known criteria for uniformly $p$-valent starlike and uniformly $p$-valent convex functions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2012.v28.n1.7
Analysis in Theory and Applications, Vol. 28 (2012), Iss. 1 : pp. 58–64
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 7
Keywords: $p$-valent function uniformly starlike function uniformly convex function uniformly close-to-convex function.