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单词 Hemicylindrical Function
释义

Hemicylindrical Function

A function which satisfies the Recurrence Relation


together with


is called a hemicylindrical function.


References

Sonine, N. ``Recherches sur les fonctions cylindriques et le développement des fonctions continues en séries.'' Math. Ann. 16, 1-9 and 71-80, 1880.

Watson, G. N. ``Hemi-Cylindrical Functions.'' §10.8 in A Treatise on the Theory of Bessel Functions, 2nd ed. Cambridge, England: Cambridge University Press, p. 353, 1966.


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