Series Expansions for Dual Laguerre Temperatures
Canadian journal of mathematics, Tome 24 (1972) no. 6, pp. 1145-1153
Voir la notice de l'article provenant de la source Cambridge University Press
In a recent paper [2], the author, with F. M. Cholewinski, derived criteria for the series expansions of solutions u(x, t) of the Laguerre differential heat equation xuxx + (α + 1 - x)ux = ut in terms of the Laguerre heat polynomials and of their temperature transforms. Our present goal is the characterization of those solutions which are representable in a Maclaurin double series in xe-t and in 1 — e-t Some of the results are analogous to those derived by D. V. Widder in [4] for the classical heat equation and by the author in [1] for the generalized heat equation.
Haimo, Deborah Tepper. Series Expansions for Dual Laguerre Temperatures. Canadian journal of mathematics, Tome 24 (1972) no. 6, pp. 1145-1153. doi: 10.4153/CJM-1972-122-8
@article{10_4153_CJM_1972_122_8,
author = {Haimo, Deborah Tepper},
title = {Series {Expansions} for {Dual} {Laguerre} {Temperatures}},
journal = {Canadian journal of mathematics},
pages = {1145--1153},
year = {1972},
volume = {24},
number = {6},
doi = {10.4153/CJM-1972-122-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1972-122-8/}
}
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[4] 4. Widder, D. V., Analytic solutions of the heat equation, Duke Math. 29 (1962), 497–504. Google Scholar
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