Moment integrals of powers of airy functions

  • Bernard J. Laurenzi
Original Papers

Abstract

Difference equations for moment integrals which contain powers of the Airy functionAi(z) and its derivativeAi'(z) i.e.
$$\int_0^\infty {z^n [Ai(z)]^\alpha dz,} \int_0^\infty {z^n [Ai'(z)]^\alpha dz,} $$
are obtained. These equations are easily solved for the special case of integer α. The moments occur in recent analytical attempts at solving certain nonlinear problems in Physics and Chemistry.

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References

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Copyright information

© Birkhäuser Verlag 1993

Authors and Affiliations

  • Bernard J. Laurenzi
    • 1
  1. 1.Dept of ChemistryState University of New York at AlbanyAlbanyUSA

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