Publication Cover
Applicable Analysis
An International Journal
Volume 45, 1992 - Issue 1-4
15
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

On continuation via polynomials

Pages 193-208 | Published online: 02 May 2007

References

  • Cholewinski , F.M. and Haimo , D.T. 1971 . Expansions in terms of Laguerre heat polynomials and of their temperature transforms . J. Analyse Math , 24 : 285 – 322 .
  • 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 .
  • Kemnitz , H. 1982 . Polynomial expansions for solutions of Dx ru(x,t)=Dxu(x,t), r = 2,3 . SIAM J. Math. Anal , 13 : 640 – 650 .
  • Rosenbloom , P.C. and Widder , D.V. 1959 . Expansions in terms of heat polynomials and associated functions . Trans. Amer. Math. Soc , 92 : 220 – 266 .
  • Watzlawek , W. 1985 . Zur Verallgemeinerung von Warmepolynomen . Monatsh. Math , 100 : 67 – 76 .
  • Watzlawek , W. 1988 . Remarks on polynomial expansions of solutions of the heat equation in two space variables . Applicable Analysis , 27 : 19 – 29 .
  • Watzlawek , W. 1989 . “ Zur Fortsetzung analytischer Lösungen linearer partieller Differentialgleichungen ” . In Complex Methods on Partial Differential Equations , 225 – 232 . Berlin : Akademie Verlag .
  • 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.