Publication Cover
Applicable Analysis
An International Journal
Volume 92, 2013 - Issue 11
98
Views
5
CrossRef citations to date
0
Altmetric
Articles

Two finite classes of orthogonal functions

&
Pages 2392-2403 | Received 11 Sep 2012, Accepted 21 Sep 2012, Published online: 26 Nov 2012

References

  • Koepf , W and Masjed-Jamei , M . 2006 . A generic polynomial solution for the differential equation of hypergeometric type and six sequences of classical orthogonal polynomials related to it . Integral Transforms Spec. Funct. , 17 : 559 – 576 .
  • Masjed-Jamei , M . 2007 . A basic class of symmetric orthogonal polynomials using the extended Sturm–Liouville theorem for symmetric functions . J. Math. Anal. Appl. , 325 : 753 – 775 .
  • Masjed-Jamei , M and Koepf , W . 2012 . Two classes of special functions using Fourier transforms of generalized ultraspherical and generalized Hermite polynomials . Proc. Am. Math. Soc. , 140 : 2053 – 2063 .
  • Masjed-Jamei , M , Marcellan , F and Huertas , EJ . A finite class of orthogonal functions generated by Routh-Romanovski polynomials, Complex Var. Elliptic Eqns (to appear), http://dx.doi.org/10.1080/17476933.2012.727406.
  • Koepf , W and Masjed-Jamei , M . 2007 . Two classes of special functions using Fourier transforms of some finite classes of classical orthogonal polynomials . Proc. Am. Math. Soc. , 135 : 3599 – 3606 .
  • Koelink , HT . 1996 . On Jacobi and continuous Hahn polynomials . Proc. Am. Math. Soc. , 124 : 887 – 898 .
  • Koornwinder , TH . 1985 . Special orthogonal polynomial systems mapped onto each other by the Fourier-Jacobi transform , A. Draux, A. P. Magnus, P. Maroni, and A. Ronveaux, eds, Lecture Notes in Mathematics, Vol. 1171, Springer, Berlin – Heidelberg – New York : in Polynômes Orthogonaux et Applications, C. Brezinski . pp. 174–183
  • Bailey , WN . 1935 . Generalized Hypergeometric Series, Cambridge Tracts , Vol. 32 , Cambridge : Cambridge University PFTV . Reprinted by Hafner Publishing Company, 1972
  • Koepf , W . 1988 . Hypergeometric Summation , Braunschweig/Wiesbaden : Vieweg .
  • Erdelyi , A , Magnus , W , Oberhettinger , F and Tricomi , FG . 1954 . Tables of Integral Transforms , Vol. 1 and 2 , New York – Toronto – London : McGraw-Hill .
  • Whittaker , ET and Watson , GN . 1927 . A Course of Modern Analysis , 4th , Cambridge : Cambridge University Press .

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.