Bibliography

1

Watson, G. N., ``A Treatise on the Theory of Bessel Functions'', 2nd ed., Cambridge University Press, (1944), 515.53, p. 500, and the references therein.

2

I. S. Gradshteyn and I. M. Ryzhik, ``Table of Integrals, Series and Products'', fourth edition, Academic Press, (1965).

3

Ibid.[2], formula 8.440, p. 959.

4

Ibid.[2], formula 8.472, equation 2, p. 968.

5

Ibid.[2], formula 8.451, equation 1, p. 961.

6

Ibid.[2], formula 8.471, equation 1, p. 967.

7

Ibid.[2], formula 8.461, p. 965.

8

Lehmer, D. H., ``Zeros of the Bessel Function $J_{\nu}(x)$'', Math. Comp. 1 (1943-1945), pp. 405-407.

9

Kapitsa, P. L., ``Heat Conduction and Diffusion in a Liquid with Periodic Flow: I. Determination of the Wave Transport Coefficient in a Pipe, Slit and Channel'', Zh. Eksp. Teor. Fiz. 21, (1951), pp. 964-978.

10

Kapitsa, P. L., ``Computation of Negative Even Power Sums of the Zeros of Bessel Functions'', Dokl. Akad. Nauk SSSR 2, (1951), pp. 561-564.

11

Meiman, N. N., ``On Recurrence Formulas for Power Sums of the Zeros of Bessel Functions'', Dokl. Akad. Nauk SSSR 108, (1956), pp. 190-193.

12

Kishore, N., ``The Rayleigh Function'', Proc. Am. Math. Soc. 14, (1963), 527-533.