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A new class of Bessel function integrals

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Abstract

A procedure is outlined for evaluating integrals of the form

$$PV\int_{ - \infty }^\infty {\frac{{G(x)}}{{H(x)}}f(x)dx} $$

whereG andH are entire functions of exponential type andf is a rational function. This is worked out in detail for the case of Bessel functions and several examples are given.

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References

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Authors and Affiliations

  1. Department of Mathematics, University of Illinois, 61801, Urbana, Illinois, USA

    Bruce C. Berndt & M. L. Glasser

  2. Department of Applied Mathematics, University of Waterloo, N2L 3G1, Waterloo, Ontario, Canada

    Bruce C. Berndt & M. L. Glasser

Authors
  1. Bruce C. Berndt
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  2. M. L. Glasser
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Additional information

The second author wishes to acknowledge support by the National Research Council of Canada under Grant No. A9344.

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Berndt, B.C., Glasser, M.L. A new class of Bessel function integrals. Aeq. Math. 16, 183–186 (1977). https://doi.org/10.1007/BF01836432

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  • DOI: https://doi.org/10.1007/BF01836432

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