Neumann series of Bessel functions
Author:
J. Ernest Wilkins
Journal:
Trans. Amer. Math. Soc. 64 (1948), 359385
MSC:
Primary 42.4X
DOI:
https://doi.org/10.1090/S0002994719480027092X
MathSciNet review:
0027092
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References  Similar Articles  Additional Information

H. Bateman, On an expansion of an arbitrary function in a series of Bessel functions, Messenger of Mathematics vol. 36 (1907) pp. 3137.
A. Gray, G. B. Mathews, and T. M. MacRobert, A treatise on Bessel functions, MacMillan, 1931.
W. Kapteyn, On a series of Bessel functions, Koninklijke Akademie van Wetenschappen te Amsterdam, Proceedings of the Section of Sciences, vol. 7 (1905) pp. 494500.
, On an expansion of an arbitrary function in a series of Bessel functions, Messenger of Mathematics vol. 35 (1906) pp. 122125.
W. V. Lovitt, Linear integral equations, McGrawHill, 1924.
S. Pincherle, Sopra alcuni sviluppi in serie per funzioni analitiche, R. Accademia delle scienze dellâ€™Istituto di Bologna, Memoria (4) vol. 3 (1881) pp. 151180.
E. C. Titchmarsh, Introduction to the theory of Fourier integrals, Oxford University Press, 1939.
, The theory of functions, Oxford University Press, 1939.
 G. N. Watson, A treatise on the theory of Bessel functions, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1995. Reprint of the second (1944) edition. MR 1349110 H. A. Webb, The expansion of an arbitrary function in a series of Bessel functions, Messenger of Mathematics vol. 33 (1904) pp. 5558. E. T. Whittaker and G. N. Watson, Modern analysis, Cambridge University Press, 1943.
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© Copyright 1948
American Mathematical Society