@article{d74ae7171fbc4045a7cf9a52a6887467,
title = "Norm estimates for the Alexander transforms of convex functions of order alpha",
abstract = "The hyperbolic sup norm of the pre-Schwarzian derivative of a locally univalent function on the unit disk measures the deviation of the function from similarities. We present sharp norm estimates for the Alexander transforms of convex functions of order α, 0 ≤ α < 1.",
keywords = "Alexander transform, Convex of order α, Hypergeometric function, Univalent function",
author = "Choi, {J. H.} and Kim, {Y. C.} and S. Ponnusamy and T. Sugawa",
note = "Funding Information: * Corresponding author. E-mail addresses: choijh@dnue.ac.kr (J.H. Choi), kimyc@yu.ac.kr (Y.C. Kim), samy@iitm.ac.in (S. Ponnusamy), sugawa@math.sci.hiroshima-u.ac.jp (T. Sugawa). 1 The second author was supported by Korea Basic Science Research Foundation (Grant No. DP0022). 2 The fourth author was partially supported by the Academy of Finland during his stay at the University of Helsinki and by NBHM (DAE, India) grant and the present work was completed during this author{\textquoteright}s visit to IIT-Madras in March–April, 2004.",
year = "2005",
month = mar,
day = "15",
doi = "10.1016/j.jmaa.2004.08.066",
language = "English",
volume = "303",
pages = "661--668",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Academic Press Inc.",
number = "2",
}