Abstract
Let CC b be the class of functions close-to-convex functions of order b, and let SH be the class of harmonic mappings in the plane. In the present paper we investigate harmonic mappings related to close-to-convex functions of complex order b.
Keywords
Convex and starlike functions of complex order b Close-to-convex functionsof complex order b Harmonic mappings Growth and distortion theorems
References
- J. Clunie, On meromorphic schlit functions, J. London Math. Soc. 34 (1959), 215-216.
- P. Duren , Harmonic Mappings in the Plane, Cambridge Tracts in Mathematics, Vol. 156, Cambridge University Press, Cambridge UK, (2004).
- A. W Goodman , Univalent Functions, Volume I and Volume II, Mariner publishing Company Inc. , Tampa Florida, (1983).
- I. S Jack, Functions starlike and convex of order α, J. London Math. Soc. (2) 3, (1971), 469-474.
- A. Y. Lashin, Starlike and convex functions of complex order involving a certain linear operator, Indian J. Pure Appl. Math. 34, (2003), no:7, pp. 1101-1108.
Abstract
References
- J. Clunie, On meromorphic schlit functions, J. London Math. Soc. 34 (1959), 215-216.
- P. Duren , Harmonic Mappings in the Plane, Cambridge Tracts in Mathematics, Vol. 156, Cambridge University Press, Cambridge UK, (2004).
- A. W Goodman , Univalent Functions, Volume I and Volume II, Mariner publishing Company Inc. , Tampa Florida, (1983).
- I. S Jack, Functions starlike and convex of order α, J. London Math. Soc. (2) 3, (1971), 469-474.
- A. Y. Lashin, Starlike and convex functions of complex order involving a certain linear operator, Indian J. Pure Appl. Math. 34, (2003), no:7, pp. 1101-1108.
Details
| Primary Language | English |
|---|---|
| Journal Section | Research Article |
| Authors | |
| Publication Date | June 1, 2014 |
| Published in Issue | Year 2014 Volume: 4 Issue: 1 |