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Some integral transforms of solutions of transmission problems

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Abstract

We express singular integrals of functions involving solutions of transmission problems via linear combinations of these functions with fractional-rational coefficients.

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References

  1. Gakhov, F.D. and Cherskii, Yu.I., Uravneniya tipa svertki (Equations of Convolution Type), Moscow: Nauka, 1978.

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  2. Prudnikov, A.P., Brychkov, Yu.A., and Marichev, O.I., Integraly i ryady (Integrals and Series), Moscow: Nauka, 1981.

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Original Russian Text © A.A. Polosin, 2008, published in Differentsial’nye Uravneniya, 2008, Vol. 44, No. 10, pp. 1427–1432.

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Polosin, A.A. Some integral transforms of solutions of transmission problems. Diff Equat 44, 1489–1494 (2008). https://doi.org/10.1134/S0012266108100169

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  • DOI: https://doi.org/10.1134/S0012266108100169

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