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The roots of Yn(λη)Jn(λ) – Jn(λη) Yn(λ) = 0

Published online by Cambridge University Press:  24 October 2008

S. Chandrasekhar  and
Donna Elbert
S. Chandrasekhar
Affiliation:
The Yerkes ObservatoryUniversity of Chicago
Donna Elbert
Affiliation:
The Yerkes ObservatoryUniversity of Chicago
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Extract

Cylinder functions, (λx), of integral orders which vanish at x = 1 and x = η (where η is an assigned positive constant less than 1) occur in the solution of many problems in applied mathematics. Such functions can be expressed in terms of the Bessel functions Jn(x) and Yn(x) of the two kinds in the form

where λ is a root of the equation

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 50 , Issue 2 , April 1954 , pp. 266 - 268
Copyright
Copyright © Cambridge Philosophical Society 1954

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References

REFERENCES

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