Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/differential-subordination-of-harmonic-mean-bq5H17weOu
References (16)
-
A. Lecko, M. Lecko (2011)
Differential Subordinations of Arithmetic and Geometric Means of Some Functionals Related to a SectorInt. J. Math. Math. Sci., 2011
-
S. Warschawski (1967)
On the Boundary Behavior of Conformal MapsNagoya Mathematical Journal, 30
-
Sanford Miller, P. Mocanu (1978)
Second order differential inequalities in the complex planeJournal of Mathematical Analysis and Applications, 65
-
Sanford Miller, P. Mocanu (1981)
Differential subordinations and univalent functions.Michigan Mathematical Journal, 28
-
O. Crisan, S. Kanas (2013)
Differential subordinations involving arithmetic and geometric meansAppl. Math. Comput., 222
-
Sanford Miller, P. Mocanu (2000)
Differential Subordinations: Theory and Applications -
I. Jack (1971)
Functions Starlike and Convex of Order αJournal of The London Mathematical Society-second Series
-
Yong Kim, A. Lecko (1999)
On Differential Subordinations Related to Convex FunctionsJournal of Mathematical Analysis and Applications, 235
-
Z. Lewandowski, Sanford Miller, E. Złotkiewicz (1976)
Generating functions for some classes of univalent functions, 56
-
IS Jack (1971)
Functions starlike and convex of order alphaJ. Lond. Math. Soc., 3
-
Sanford Miller, P. Mocanu (1985)
On some classes of first-order differential subordinations.Michigan Mathematical Journal, 32
-
A. Lecko (2000)
On differential subordinations and inclusion relation between classes of analytic functionsComplex Variables, Theory and Application: An International Journal, 40
-
(1969)
Une properiété de convexité généralisée dans la théorie de la représentation conforme -
CH Pommerenke (1992)
Boundary Behavior of Conformal Maps -
R. Cooke (2011)
Real and Complex Analysis -
S. Kanas, A. Lecko, J. Stankiewicz (1996)
Differential subordinations and geometric means, 28
- Publisher
- Springer Journals
- Copyright
- Copyright © 2015 by Springer-Verlag Berlin Heidelberg
- Subject
- Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
- ISSN
- 1617-9447
- eISSN
- 2195-3724
- DOI
- 10.1007/s40315-015-0108-0
- Publisher site
- See Article on Publisher Site
Abstract
In this paper, we introduce the concept of the first-order differential subordination related to the harmonic mean, by analogy to the differential subordination related to the arithmetic and geometric mean.
Journal
Computational Methods and Function Theory – Springer Journals
Published: Feb 20, 2015