On generalized heat polynomials
We consider the generalized heat equation of nth order ∂2u∂r2+n−1r∂u∂r−α2r2u=∂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 trans...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1988-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171288000456 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832564963685695488 |
|---|---|
| author | C. Nasim |
| author_facet | C. Nasim |
| author_sort | C. Nasim |
| collection | DOAJ |
| description | We consider the generalized heat equation of nth order ∂2u∂r2+n−1r∂u∂r−α2r2u=∂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. |
| format | Article |
| id | doaj-art-755aec916a0044f0a116068352a15583 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1988-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-755aec916a0044f0a116068352a155832025-02-03T01:09:47ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251988-01-0111239340010.1155/S0161171288000456On generalized heat polynomialsC. Nasim0Department of Mathematics and Statistics, The University of Calgary, Calgary, Alberta T2N 1N4, CanadaWe consider the generalized heat equation of nth order ∂2u∂r2+n−1r∂u∂r−α2r2u=∂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.http://dx.doi.org/10.1155/S0161171288000456generalized heat equationsource solutionheat transformheat polynomialAppell transformgenerating functionLaguerre polynomialhypergeometric function. |
| spellingShingle | C. Nasim On generalized heat polynomials International Journal of Mathematics and Mathematical Sciences generalized heat equation source solution heat transform heat polynomial Appell transform generating function Laguerre polynomial hypergeometric function. |
| title | On generalized heat polynomials |
| title_full | On generalized heat polynomials |
| title_fullStr | On generalized heat polynomials |
| title_full_unstemmed | On generalized heat polynomials |
| title_short | On generalized heat polynomials |
| title_sort | on generalized heat polynomials |
| topic | generalized heat equation source solution heat transform heat polynomial Appell transform generating function Laguerre polynomial hypergeometric function. |
| url | http://dx.doi.org/10.1155/S0161171288000456 |
| work_keys_str_mv | AT cnasim ongeneralizedheatpolynomials |