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The and functions as symmetrical Fourier kernels
Author:
Charles Fox
Journal:
Trans. Amer. Math. Soc. 98 (1961), 395-429
MSC:
Primary 33.21
MathSciNet review:
0131578
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References |
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Additional Information
- [1]
E. W. Barnes, The asymptotic expansion of integral functions defined by generalized hypergeometric series, Proc. London Math. Soc. Ser. 2 vol. 5 (1907) pp. 59-117.
- [2]
The Bateman Manuscript Project, Higher transcendental functions, Vol. 1, New York, McGraw-Hill Book Co., 1953.
- [3]
C. Fox, A generalization of the Fourier Bessel integral transform, Proc. London Math. Soc. Ser. 2 vol. 29 (1929) pp. 401-452.
- [4]
C. S. Meijer, On the G-function, Proc. Nederl. Akad. Wetensch. vol. 49 (1946) pp. 227-237, 344-356, 457-469, 632-641, 765-772, 936-943, 1062-1072, 1165-1175.
- [5]
Roop
Narain, A Fourier kernel, Math. Z. 70
(1958/1959), 297–299. MR 0104988
(21 #3735)
- [6]
E. C. Titchmarsh, Introduction to the theory of Fourier integrals, Oxford, University Press, 1937.
- [7]
E.
T. Whittaker and G.
N. Watson, A course of modern analysis, Cambridge Mathematical
Library, Cambridge University Press, Cambridge, 1996. An introduction to
the general theory of infinite processes and of analytic functions; with an
account of the principal transcendental functions; Reprint of the fourth
(1927) edition. MR 1424469
(97k:01072)
- [1]
- E. W. Barnes, The asymptotic expansion of integral functions defined by generalized hypergeometric series, Proc. London Math. Soc. Ser. 2 vol. 5 (1907) pp. 59-117.
- [2]
- The Bateman Manuscript Project, Higher transcendental functions, Vol. 1, New York, McGraw-Hill Book Co., 1953.
- [3]
- C. Fox, A generalization of the Fourier Bessel integral transform, Proc. London Math. Soc. Ser. 2 vol. 29 (1929) pp. 401-452.
- [4]
- C. S. Meijer, On the G-function, Proc. Nederl. Akad. Wetensch. vol. 49 (1946) pp. 227-237, 344-356, 457-469, 632-641, 765-772, 936-943, 1062-1072, 1165-1175.
- [5]
- Roop Narain, A Fourier kernel, Math. Z. vol. 70 (1959) pp. 297-299. MR 0104988 (21:3735)
- [6]
- E. C. Titchmarsh, Introduction to the theory of Fourier integrals, Oxford, University Press, 1937.
- [7]
- E. T. Whittaker and G. N. Watson, A course of modern analysis, Cambridge, University Press, 1915. MR 1424469 (97k:01072)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9947-1961-0131578-3
PII:
S 0002-9947(1961)0131578-3
Article copyright:
© Copyright 1961 American Mathematical Society
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