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A relevant result independently obtained by Rayleigh and Sneddon on an identity on series involving the zeros of Bessel functions of the first kind is derived by an alternative method based on Laplace transforms.
G.H. Hardy, M. Riesz, The General Theory of Dirichlet Series
1915
Earlier work this paper cites.
G.N. Watson A treatise on the Theory of Bessel Functions
1944
Earlier work this paper cites.
B. Gross, R.M. Fuoss, Ladder structures for representation of viscoelastic systems, J. Polymer Science
1956
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B. Gross, Ladder structures for representation of viscoelastic systems, II, J. Polymer Science
1956
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B. Gross , Electrical analogs for viscoelastic systems, J. Polymer Science
1956
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I. N. Sneddon, On some infinite series involving the zeros of Bessel functions of the first kind, Proc. Glasgow Math. Assoc
1960
Cited alongside, same era.
M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions
1965
Cited alongside, same era.
F. Calogero, On the zeros of Bessel functions, Lett. Nuovo Cimento
1977
Cited alongside, same era.
N. M. Temme, Special Functions: An Introduction to the Classical Functions of Mathematical Physics
1996
Cited alongside, same era.
F. Mainardi, Fractional Calculus and Waves in Linear Viscoelasticity
2010
Cited alongside, same era.
R.L. Schilling, R. Song, Z. Vondracek, Bernstein Functions. Theory and Applications
2012
Later among the works it cites.
Á. Baricz, D.J. Maširević, T.K. Pogány, R.Szász, On an identity for zeros of Bessel functions, J. Math. Anal. Appl
2014
Later among the works it cites.
2016
Closest in time.
A. Giusti, F. Mainardi, A dynamic viscoelastic analogy for fluid-filled elastic tubes, Meccanica
2016
Closest in time.
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