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A Trigonometric Series used in Physical Problems

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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

  1. Krishnan, K. S., Proc. Roy. Soc., A, 192, 181 (1947).

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  2. Krishnan, K. S., J. Ind. Math. Soc., 12, 79 (1948).

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  3. Goddard, L. S., Proc. Camb. Phil. Soc., 41, 148 (1945).

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  4. Hardy, G. H., see Bromwich, T. J. I'A., “An Introduction to the Theory of Infinite Series”, 392 (Macmillan, 1926).

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Authors and Affiliations

  1. Indian Institute of Science, Bangalore, 3

    S. K. LAKSHMANA RAO & B. S. RAMAKRISHNA

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  1. S. K. LAKSHMANA RAO
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  2. B. S. RAMAKRISHNA
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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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