Publication Cover
Applicable Analysis
An International Journal
Volume 81, 2002 - Issue 6
22
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Determinant Forms for Extended Heat Functions and Expansions of Solutions of Associated Cauchy Problems

&
Pages 1467-1482 | Published online: 09 Sep 2010

  • Boas , R.P. 1954 . Entire Functions , New York : Academic Press .
  • Chihara , T.S. 1990 . “ The three term recurrence relation and spectral properties of orthogonal polynomials ” . In Orthogonal Polynomials , Edited by: Neva! , P. 99 – 114 . Norwell, Massachusetts : Kluwer Academic Publishers .
  • Hopper , A.T. 1965 . Expansion theorems for solutions of two generalizations of the heat equation , Cleveland, Ohio : Case Institute of Technology . Ph.D. Thesis
  • Ince , E.L. 1956 . Ordinary Differential Equations , New York : Dover Pub. .
  • Kaplan , W. 1958 . Ordinary Differential Equations , Reading : Addison-Wesley .
  • Korsak , A. and Shubert , C. 1960 . A determinant expression for the Tchebycheff polynomials . Canadian Mathematical Bull. , 3 (3) : 243 – 246 .
  • Rainville , E.D. 1948 . Intermediate Differential Equations , New York : John Wiley and Sons .
  • Tricomi , P.O. 1957 . Integral Equations , New York : Interscience Pub. .
  • Rosenbloom , P. and Widder , D.V. 1959 . Expansions in heat polynomials and associated functions . Trans. Amer. Math. Soc. , 92 : 220 – 266 .
  • Schwatt , I.J. 1924 . An Introduction to Operations with Series , New York : Chelsea Pub. Co. .
  • Kulkarni , D. , Schmidt , D. and Tsui , S.K. 1999 . Eigenvalues of tridiagonal pseudo-Toeplitz matrices . Lin. Alg. and its Appls. , 297 : 63 – 80 .

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.