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On Recurrence Formulae

Published online by Cambridge University Press:  18 May 2009

T. M. Macrobert
T. M. Macrobert
Affiliation:
The University Glasgow
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The recurrence formulae for the Bessel, Legendre, hypergeometric and other such functions can all be related to each other by means of the E-functions. In this paper it will be shown how, starting from known recurrence formulae for the hypergeometric function, others can be derived. The E-function formulae are deduced in § 2, and the others in § 3.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 3 , Issue 1 , December 1956 , pp. 36 - 37
Copyright
Copyright © Glasgow Mathematical Journal Trust 1956

References

REFERENCES

1.Gauss, C. F., Werke III (1876), 130, 133.Google Scholar
2.MacRobert, T. M., Proofs of some formulae for the hypergeometric function, Phil. Mag. (7) 16 (1933), 440, 441, 442.CrossRefGoogle Scholar