Nasim, C.2018-09-272018-09-271988-01-01C. Nasim, “On generalized heat polynomials,” International Journal of Mathematics and Mathematical Sciences, vol. 11, no. 2, pp. 393-400, 1988. doi:10.1155/S0161171288000456http://hdl.handle.net/1880/108669https://doi.org/10.11575/PRISM/44308We 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.Journal Article2018-09-27enCopyright © 1988 Hindawi Publishing Corporation. 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.https://doi.org/10.1155/S0161171288000456