Four-term recurrence relations for hypergeometric functions of the second order (I)

• Autores: Harold Exton
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 47, Fasc. 1, 1996, págs. 55-62
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • Four-term recurrence relations for hypergeometric functions of the second order are deduced from generating functions involving elementary functions. Generalisations are indicated and an example is given of a five-term recurrence for the confluent hypergeometric function.

• Referencias bibliográficas
  • P. Appell et J. Kampé de Fériet, Fonctions hypergéométriques et hypersphériques, Gauthier Villars, Paris, 1926.
  • A. Erdélyi, Higher transcendental functions, McGraw Hill, New York, 1953.
  • H. Exton, Multiple hypergeometric functions, Ellis Horwood, Chichester, U.K., 1976.
  • L. J. Slater, Generalised hypergeometric functions, Cambridge University Press, 1966.
  • H. M. Srivastava and P. W. Karlsson, Multiple Gaussian hypergeometric series, Ellis Horwood, Chichester, U.K., 1985.
  • G. N. Watson, Bessel functions, Cambridge University Press, 1944.
  • R. J. Yáñez, J. S. Dehesa and A. Zarzo, Four-term recurrence relations of hypergeometric type polynomials, Il nuovo Cimento 109B (1994), 725–733.