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Landau's theorem for certain biharmonic mappingsPublished in

2009

Volume: 208

Issue: 2

Pages: 427 - 433

In this paper, we show the existence of Landau and Bloch constants for biharmonic mappings of the form L (F). Here L represents the linear complex operator L = z frac(∂, ∂ z) - over(z, ̄) frac(∂, ∂ over(z, ̄)) defined on the class of complex-valued C1 functions in the plane, and F belongs to the class of biharmonic mappings of the form F (z) = | z |2 G (z) + K (z) (| z | < 1), where G and K are harmonic. Crown Copyright © 2008.

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About the journal

Journal | Applied Mathematics and Computation |
---|---|

ISSN | 00963003 |

Open Access | No |

Concepts (6)

- Disks (structural components)
- BIHARMONIC MAPPING
- JACOBIAN
- LINEAR COMPLEX OPERATOR
- UNIVALENT DISK
- Mathematical operators