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IX.—The Confluent Hypergeometric Functions of Two Variables

Published online by Cambridge University Press:  15 September 2014

Pierre Humbert
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Extract

This memoir is devoted to the study of certain new functions, which may be regarded as limiting cases of the “hypergeometric functions of two variables” discovered by Appell.

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 41 , 1922 , pp. 73 - 96
Copyright
Copyright © Royal Society of Edinburgh 1922

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References

page 73 note * J. math, pures appl., 1882, p. 173; 1884, p. 407.Google Scholar

page 73 note † For an account of the confluent hypergeometric functions, see chapter xvi of Whittaker and Watson's Modern Analysis.

page 79 note * Bull. Amer. Math. Soc, iv, p. 125.

page 82 note * Math. Ann., xvi (1880), p. 41.Google Scholar

page 82 note † Modern Analysis, 3rd edition (1920), p. 352.Google Scholar

page 83 note * Archiv Math. Phys., lxvi, 1881, p. 238.Google Scholar

page 84 note * Œuvres, ii, p. 293.

page 84 note † Cf. a paper by Jekhowsky, with a bibliography of the subject, in Bull. Astron., t. xxxv, 1918.Google Scholar

page 89 note * Nouv. Ann. de Math., décembre 1919.Google Scholar