Publication Cover
Applicable Analysis
An International Journal
Volume 27, 1988 - Issue 1-3
11
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Remarks on polynomial expansions of solutions of the heat equation in two space variables

Pages 19-29 | Published online: 02 May 2007

References

  • Bary , N.K. 1964 . A Treatise on Trigonometric Series, Vol. I , Oxford-Edinburgh-New York : Pergamon Press .
  • Bragg , L.R. 1965 . The radial heat polynomials and related functions . Trans.Amer.Math.Soc , 119 : 270 – 290 .
  • Colton , D. and Wimp , J. 1984 . Analytic solutions of the heat equation and some formulas for Laguerre and Hermite polynomials . Complex Variables , 3 : 397 – 412 .
  • Haimo , D.T. 1966 . Expansions in terms of generalized heat polynomials and of their Appel transforms . J.Math.Mech , 15 : 735 – 758 .
  • Rosenbloom , P.C. and Widder , D.V. 1959 . Expansions in terms of heat polynomials and associated functions . Trans.Amer.Math.Soc , 92 : 220 – 266 .
  • Steinberg , S. and Treves , F. 1970 . Pseudo-Fokker Planck equations and hyperdifferential operators . J.Diff.Equations , 8 : 333 – 366 .
  • Treves , F. 1975 . Basic Linear Partial Differential Equations , New York-San Francisco-London : Academic Press .
  • Watzlawek , W. 1985 . Zur Verallgemeinerung von Warmepolynomen . Monatsh.Math , 100 : 67 – 76 .
  • Watzlawek , W. Two examples of an alternative approach to systems analogous ato the heat polynomials , Warsaw : Banach Center Publications .
  • Widder , D.V. 1961 . Series expansions of solutions of the heat equation in n dimesions . Ann.Math.Pura Appl , 55 : 389 – 410 .
  • Widder , D.V. 1962 . Analytic solutions of the heat equation . Duke Math.J , 29 : 497 – 504 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.