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On Appell's Function P (θ, φ)

Published online by Cambridge University Press:  20 January 2009

Pierre Humbert
Pierre Humbert
Affiliation:
Université de Montpellier.
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§1. Appell's functions, P (θ, φ), Q (θ, φ) and R (θ, φ) are defined by the expansion

where j3 = 1, affording, both for the third order and the field of two variables, a very direct generalization of the circular functions, as

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 3 , Issue 1 , March 1932 , pp. 53 - 55
Copyright
Copyright © Edinburgh Mathematical Society 1932

References

1 Appell, P., C. R. 84 (1877), 540.Google Scholar

2 Atti della Pont. Accad. delle Scienze, Anno 83 (1929–1930), 128.Google ScholarCfDevisme, J., C. R., 193 (1931), 981.Google Scholar