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On the positive roots of an equation involving modified Bessel functions
Published online by Cambridge University Press: 20 January 2009
Abstract
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