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Neumann series of Bessel functions
Author:
J. Ernest Wilkins
Journal:
Trans. Amer. Math. Soc. 64 (1948), 359-385
MSC:
Primary 42.4X
MathSciNet review:
0027092
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References |
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Additional Information
- [1]
H. Bateman, On an expansion of an arbitrary function in a series of Bessel functions, Messenger of Mathematics vol. 36 (1907) pp. 31-37.
- [2]
A. Gray, G. B. Mathews, and T. M. MacRobert, A treatise on Bessel functions, MacMillan, 1931.
- [3]
W. Kapteyn, On a series of Bessel functions, Koninklijke Akademie van Wetenschappen te Amsterdam, Proceedings of the Section of Sciences, vol. 7 (1905) pp. 494-500.
- [4]
-, On an expansion of an arbitrary function in a series of Bessel functions, Messenger of Mathematics vol. 35 (1906) pp. 122-125.
- [5]
W. V. Lovitt, Linear integral equations, McGraw-Hill, 1924.
- [6]
S. Pincherle, Sopra alcuni sviluppi in serie per funzioni analitiche, R. Accademia delle scienze dell'Istituto di Bologna, Memoria (4) vol. 3 (1881) pp. 151-180.
- [7]
E. C. Titchmarsh, Introduction to the theory of Fourier integrals, Oxford University Press, 1939.
- [8]
-, The theory of functions, Oxford University Press, 1939.
- [9]
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
(96i:33010)
- [10]
H. A. Webb, The expansion of an arbitrary function in a series of Bessel functions, Messenger of Mathematics vol. 33 (1904) pp. 55-58.
- [11]
E. T. Whittaker and G. N. Watson, Modern analysis, Cambridge University Press, 1943.
- [1]
- H. Bateman, On an expansion of an arbitrary function in a series of Bessel functions, Messenger of Mathematics vol. 36 (1907) pp. 31-37.
- [2]
- A. Gray, G. B. Mathews, and T. M. MacRobert, A treatise on Bessel functions, MacMillan, 1931.
- [3]
- W. Kapteyn, On a series of Bessel functions, Koninklijke Akademie van Wetenschappen te Amsterdam, Proceedings of the Section of Sciences, vol. 7 (1905) pp. 494-500.
- [4]
- -, On an expansion of an arbitrary function in a series of Bessel functions, Messenger of Mathematics vol. 35 (1906) pp. 122-125.
- [5]
- W. V. Lovitt, Linear integral equations, McGraw-Hill, 1924.
- [6]
- S. Pincherle, Sopra alcuni sviluppi in serie per funzioni analitiche, R. Accademia delle scienze dell'Istituto di Bologna, Memoria (4) vol. 3 (1881) pp. 151-180.
- [7]
- E. C. Titchmarsh, Introduction to the theory of Fourier integrals, Oxford University Press, 1939.
- [8]
- -, The theory of functions, Oxford University Press, 1939.
- [9]
- G. N. Watson, A treatise on the theory of Bessel functions, Cambridge University Press, 1945. MR 1349110 (96i:33010)
- [10]
- H. A. Webb, The expansion of an arbitrary function in a series of Bessel functions, Messenger of Mathematics vol. 33 (1904) pp. 55-58.
- [11]
- E. T. Whittaker and G. N. Watson, Modern analysis, Cambridge University Press, 1943.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9947-1948-0027092-X
PII:
S 0002-9947(1948)0027092-X
Article copyright:
© Copyright 1948 American Mathematical Society
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