Advances in Decision Sciences
Volume 2010 (2010), Article ID 230184, 9 pages
doi:10.1155/2010/230184
Research Article

On Generalisation of Polynomials in Complex Plane

Maslina Darus and Rabha W. Ibrahim

School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, 43600 Selangor Darul Ehsan, Malaysia

Received 29 May 2010; Accepted 28 September 2010

Academic Editor: Shelton Peiris

Copyright © 2010 Maslina Darus and Rabha W. Ibrahim. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The generalised Bell and Laguerre polynomials of fractional-order in complex 𝑧 -plane are defined. Some properties are studied. Moreover, we proved that these polynomials are univalent solutions for second order differential equations. Also, the Laguerre-type of some special functions are introduced.