Abstract
IN connexion with a boundary-value problem in room acoustics, we were led to consider the following trigonometric series. It has been noted further that certain other trigonometric series encountered by K. S. Krishnan1,2 and L. S. Goddard3 in different physical situations can be obtained, as special cases of the above series.
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References
Krishnan, K. S., Proc. Roy. Soc., A, 192, 181 (1947).
Krishnan, K. S., J. Ind. Math. Soc., 12, 79 (1948).
Goddard, L. S., Proc. Camb. Phil. Soc., 41, 148 (1945).
Hardy, G. H., see Bromwich, T. J. I'A., “An Introduction to the Theory of Infinite Series”, 392 (Macmillan, 1926).
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LAKSHMANA RAO, S., RAMAKRISHNA, B. A Trigonometric Series used in Physical Problems. Nature 171, 308–309 (1953). https://doi.org/10.1038/171308b0
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DOI: https://doi.org/10.1038/171308b0
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