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The Influence of Singular Points of the Laplace Image on the Generalized Spectrum of the Original

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Abstract

Integral representations of the Fourier–Jacobi coefficients are constructed in the form of Riemann–Mellin integrals, and on this basis asymptotic formulas for calculating coefficients for large-order numbers are derived.

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References

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Authors and Affiliations

  1. Pidstrygach Institute of Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv

    Ya. D. Pyanylo

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  1. Ya. D. Pyanylo
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Pyanylo, Y.D. The Influence of Singular Points of the Laplace Image on the Generalized Spectrum of the Original. Journal of Mathematical Sciences 107, 3655–3658 (2001). https://doi.org/10.1023/A:1011919029403

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  • DOI: https://doi.org/10.1023/A:1011919029403

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