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THE FINITE FOURIER TRANSFORM OF CLASSICAL POLYNOMIALS

Publication ,  Journal Article
DIXIT, A; JIU, LIN; MOLL, VH; VIGNAT, C
Published in: Journal of the Australian Mathematical Society
April 2015
Published version (DOI) Publisher Link

The finite Fourier transform of a family of orthogonal polynomials is the usual transform of these polynomials extended byoutside their natural domain of orthogonality. Explicit expressions are given for the Legendre, Jacobi, Gegenbauer and Chebyshev families.

Duke Scholars

Lin Jiu
Author Lin Jiu DKU Faculty

Published In

Journal of the Australian Mathematical Society

DOI

10.1017/s1446788714000500

EISSN

1446-8107

ISSN

1446-7887

Publication Date

April 2015

Volume

98

Issue

2

Start / End Page

145 / 160

Publisher

Cambridge University Press (CUP)

Related Subject Headings

  • General Mathematics
  • 49 Mathematical sciences
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics
 

Citation

APA
Chicago
ICMJE
MLA
NLM
DIXIT, A., JIU, L. I. N., MOLL, V. H., & VIGNAT, C. (2015). THE FINITE FOURIER TRANSFORM OF CLASSICAL POLYNOMIALS. Journal of the Australian Mathematical Society, 98(2), 145–160. https://doi.org/10.1017/s1446788714000500
DIXIT, A. T. U. L., L. I. N. JIU, VICTOR H. MOLL, and C. H. R. I. S. T. O. P. H. E. VIGNAT. “THE FINITE FOURIER TRANSFORM OF CLASSICAL POLYNOMIALS.” Journal of the Australian Mathematical Society 98, no. 2 (April 2015): 145–60. https://doi.org/10.1017/s1446788714000500.
DIXIT A, JIU LIN, MOLL VH, VIGNAT C. THE FINITE FOURIER TRANSFORM OF CLASSICAL POLYNOMIALS. Journal of the Australian Mathematical Society. 2015 Apr;98(2):145–60.
DIXIT, A. T. U. L., et al. “THE FINITE FOURIER TRANSFORM OF CLASSICAL POLYNOMIALS.” Journal of the Australian Mathematical Society, vol. 98, no. 2, Cambridge University Press (CUP), Apr. 2015, pp. 145–60. Crossref, doi:10.1017/s1446788714000500.
DIXIT A, JIU LIN, MOLL VH, VIGNAT C. THE FINITE FOURIER TRANSFORM OF CLASSICAL POLYNOMIALS. Journal of the Australian Mathematical Society. Cambridge University Press (CUP); 2015 Apr;98(2):145–160.
Journal cover image

Published In

Journal of the Australian Mathematical Society

DOI

10.1017/s1446788714000500

EISSN

1446-8107

ISSN

1446-7887

Publication Date

April 2015

Volume

98

Issue

2

Start / End Page

145 / 160

Publisher

Cambridge University Press (CUP)

Related Subject Headings

  • General Mathematics
  • 49 Mathematical sciences
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics