Summation of Reciprocal of Zero of Order 1 Bessel Function by Order 0 Bessel Function of it/Historical Note
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Historical Note on Summation of Reciprocal of Zero of Order 1 Bessel Function by Order 0 Bessel Function of it
This result is reported in François Le Lionnais and Jean Brette: Les Nombres Remarquables of $1983$, with no indication of context.
It is not revealed why this result is significant.