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On Fractional Orthonormal Polynomials of a Discrete Variable

Author

Listed:
  • I. Area
  • J. D. Djida
  • J. Losada
  • Juan J. Nieto

Abstract

A fractional analogue of classical Gram or discrete Chebyshev polynomials is introduced. Basic properties as well as their relation with the fractional analogue of Legendre polynomials are presented.

Suggested Citation

  • I. Area & J. D. Djida & J. Losada & Juan J. Nieto, 2015. "On Fractional Orthonormal Polynomials of a Discrete Variable," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-7, July.
    • Handle: RePEc:hin:jnddns:141325
    DOI: 10.1155/2015/141325
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    References listed on IDEAS

    as
    1. Diblík, J. & Fečkan, M. & Pospíšil, M., 2015. "Nonexistence of periodic solutions and S-asymptotically periodic solutions in fractional difference equations," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 230-240.
    2. Jan Čermák & Tomáš Kisela & Luděk Nechvátal, 2011. "Discrete Mittag-Leffler Functions in Linear Fractional Difference Equations," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-21, June.
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