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Some new asymptotic expansions for Bessel functions of large orders

Published online by Cambridge University Press:  24 October 2008

F. W. J. Olver
F. W. J. Olver
Affiliation:
National Physical LaboratoryTeddington, Middlesex
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Extract

During the course of recent work (6) on the zeros of the Bessel functions Jn(x) and Yn(x), it became evident that the theory of the asymptotic expansion of Bessel functions whose arguments and orders are of comparable magnitudes was incomplete. The existing expansions for large orders are those of Debye and Meissel, detailed derivations of both of which are given by Watson ((8), pp. 237–48).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 48 , Issue 3 , July 1952 , pp. 414 - 427
Copyright
Copyright © Cambridge Philosophical Society 1952

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References

REFERENCES

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