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On the positive roots of an equation involving modified Bessel functions

Published online by Cambridge University Press:  20 January 2009

M. E. Muldoon
M. E. Muldoon
Affiliation:
Department of MathematicsYork UniversityNorth York, Ontario M3J 1P3, Canada
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Abstract

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We use the Mittag-Leffler partial fractions expansion of jv + 1(x)/Jv(x) to give simple proofs of some recent results due to S. H. Lehnigk concerning the number of positive roots of the equation ( −Br2 + A + q)Iq(r) + rIq,+ 1(r)=0, where A is real, B>0 and q>−1.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 33 , Issue 3 , October 1990 , pp. 491 - 493
Copyright
Copyright © Edinburgh Mathematical Society 1990

References

REFERENCES

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