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Four-term recurrence relations of hypergeometric-type polynomials

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Il Nuovo Cimento B (1971-1996)

Summary

The structural properties of the hypergeometric-type polynomials are, still today, poorly known, except those of the classical orthogonal polynomials (i. e. hypergeometric-type polynomials with Favard's orthogonality) in spite of their great usefulness in Mathematical Physics. Here, we study in detail the four-term recurrence and differential-difference relations of the hypergeometric-type polynomials in terms of the coefficients of its second-order differential equation. In so doing, some results of several authors (Tricomi, Marcellán and others) are considerably extended.

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Authors and Affiliations

  1. Departmento de Física Moderna, Facultad de Ciencias, Universidad de Granada, E-18071, Granada, Spain

    R. J. Yañez & J. S. Dehesa

  2. Departamento de Matemática Aplicada, E.T.S. Ingenieros Industriales, Universidad Politécnica de Madrid, 28006, Madrid, Spain

    A. Zarzo

Authors
  1. R. J. Yañez
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  2. J. S. Dehesa
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  3. A. Zarzo
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Yañez, R.J., Dehesa, J.S. & Zarzo, A. Four-term recurrence relations of hypergeometric-type polynomials. Nuov Cim B 109, 725–733 (1994). https://doi.org/10.1007/BF02722529

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  • DOI: https://doi.org/10.1007/BF02722529

PACS 02.30

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