On uniformly convex functions
Annales Polonici Mathematici (1991)
- Volume: 56, Issue: 1, page 87-92
- ISSN: 0066-2216
Access Full Article
topAbstract
topHow to cite
topA. W. Goodman. "On uniformly convex functions." Annales Polonici Mathematici 56.1 (1991): 87-92. <http://eudml.org/doc/262392>.
@article{A1991,
abstract = {We introduce a new class of normalized functions regular and univalent in the unit disk. These functions, called uniformly convex functions, are defined by a purely geometric property. We obtain a few theorems about this new class and we point out a number of open problems.},
author = {A. W. Goodman},
journal = {Annales Polonici Mathematici},
keywords = {univalent functions; convex functions; coefficient bounds; circular arc; convex arc; uniformly convex functions},
language = {eng},
number = {1},
pages = {87-92},
title = {On uniformly convex functions},
url = {http://eudml.org/doc/262392},
volume = {56},
year = {1991},
}
TY - JOUR
AU - A. W. Goodman
TI - On uniformly convex functions
JO - Annales Polonici Mathematici
PY - 1991
VL - 56
IS - 1
SP - 87
EP - 92
AB - We introduce a new class of normalized functions regular and univalent in the unit disk. These functions, called uniformly convex functions, are defined by a purely geometric property. We obtain a few theorems about this new class and we point out a number of open problems.
LA - eng
KW - univalent functions; convex functions; coefficient bounds; circular arc; convex arc; uniformly convex functions
UR - http://eudml.org/doc/262392
ER -
References
top- [1] A. W. Goodman, Univalent functions and nonanalytic curves, Proc. Amer. Math. Soc. 8 (1957), 598-601. Zbl0166.33002
- [2] A. W. Goodman, Univalent Functions, Polygonal Publ. Co. Inc., Washington, N.J., 1983.
- [3] A. W. Goodman, On uniformly starlike functions, J. Math. Anal. Appl. 155 (1991), 364-370. Zbl0726.30013
- [4] W. Rudin, Function Theory in Polydiscs, Benjamin, New York 1969.
Citations in EuDML Documents
top- Yong Chan Kim, Ern Gun Kwon, On some radius results for normalized analytic functions
- Wancang Ma, David Minda, Uniformly convex functions
- Gangadharan Murugusundaramoorthy, Basem Aref Frasin, Tariq Al-Hawary, Uniformly convex spiral functions and uniformly spirallike functions associated with Pascal distribution series
- Wancang Ma, David Minda, Uniformly convex functions II
- G. Murugusundaramoorthy, Kaliappan Vijaya, Ravinder Krishna Raina, A subclass of harmonic functions with varying arguments defined by Dziok-Srivastava operator
- Firas Ghanim, Maslina Darus, On new subclass of analytic functions with respect to symmetric points
- G. Murugusundaramoorthy, K. Uma, Certain subclasses of starlike functions of complex order involving the Hurwitz-Lerch Zeta function
- G. Murugusundaramoorthy, K. Uma, Certain subclasses of starlike functions of complex order involving the Hurwitz-Lerch Zeta function
- Nihat Yagmur, Halit Orhan, Fekete-Szegő problem for subclasses of generalized uniformly starlike functions with respect to symmetric points
- Basem Aref Frasin, Gangadharan Murugusundaramoorthy, A subordination results for a class of analytic functions defined by q-differential operator
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.