On some bessel-function integral equations

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Two propositions of Bremekamp in the field of integral equations are revisited. Their common base is shown to be an elegant reciprocal relation between a pair of integral equations of Volterra type.


  1. [1]

    H. Bremekamp, Wiskundige Opgaven met de Oplossingen,17 (1942), pp. 3–10.

  2. [2]

    G. van Hasselt, ibid., pp. 4–5, 8–10.

  3. [3]

    S. C. van Veen, ibid., p. 10.

  4. [4]

    J. Boersma, Nieuw Archief voor Wiskunde,18 (1970), p. 306.

  5. [5]

    K. Soni, Duke Math. J.,4 (1973), pp. 466–481.

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Note dedicated toDario Graffi on the occasion of his seventieth birthday

Entrata in Redazione il 7 marzo 1975.

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Bouwkamp, C.J. On some bessel-function integral equations. Annali di Matematica 108, 63–67 (1976).

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  • Integral Equation
  • Common Base
  • Reciprocal Relation
  • Volterra Type