A Remark on Certain Differential Inequalities Involving $p$-Valent Functions
DOI:
https://doi.org/10.4208/ata.2012.v28.n1.7Keywords:
$p$-valent function, uniformly starlike function, uniformly convex function, uniformly close-to-convex function.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.
Published
2012-03-01
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A Remark on Certain Differential Inequalities Involving $p$-Valent Functions. (2012). Analysis in Theory and Applications, 28(1), 58-64. https://doi.org/10.4208/ata.2012.v28.n1.7