TY - JOUR
T1 - A Remark on Certain Differential Inequalities Involving $p$-Valent Functions
AU - Sukhwinder Singh Billing
JO - Analysis in Theory and Applications
VL - 1
SP - 58
EP - 64
PY - 2012
DA - 2012/03
SN - 28
DO - http://doi.org/10.4208/ata.2012.v28.n1.7
UR - https://global-sci.org/intro/article_detail/ata/4541.html
KW - $p$-valent function, uniformly starlike function, uniformly convex function, uniformly close-to-convex function.
AB - <p style="text-align: justify;">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.</p>