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The Application of a Hankel Transformation to a Class of Circularly Symmetric Coverage Problems

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  • Gerhard Schroeter

    (Industrieanlagen-Betriebsgesellschaft mbH, Ottobrunn, Germany)

Abstract

The expected coverage of a target with a circularly symmetric value density function by a circularly symmetric damage function, where the distance between their centers is a stochastic variable, is expressed in terms of Hankel transforms. In problems of this type, the Hankel transformation of order zero plays a role similar to that of the Fourier transformation in the case of ordinary convolution integrals. Several well-known singular results for circularly symmetric coverage problems are unified and generalized.

Suggested Citation

  • Gerhard Schroeter, 1977. "The Application of a Hankel Transformation to a Class of Circularly Symmetric Coverage Problems," Operations Research, INFORMS, vol. 25(4), pages 675-687, August.
    • Handle: RePEc:inm:oropre:v:25:y:1977:i:4:p:675-687
    DOI: 10.1287/opre.25.4.675
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