On generalized heat polynomials

C. Nasim

International Journal of Mathematics and Mathematical Sciences, 1988, vol. 11, 1-8

Abstract:

We consider the generalized heat equation of n t h order ∂ 2 u ∂ r 2 + n − 1 r ∂ u ∂ r − α 2 r 2 u = ∂ u ∂ t . If the initial temperature is an even power function, then the heat transform with the source solution as the kernel gives the heat polynomial. We discuss various properties of the heat polynomial and its Appell transform. Also, we give series representation of the heat transform when the initial temperature is a power function.

Date: 1988
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/11/759085.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/11/759085.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:759085

DOI: 10.1155/S0161171288000456

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().