Laguerrian eigenvalue problems and Wright functions

  • Authors:

  • G. Dattoli;A. Arena;P. E. Ricci

  • Affiliations:

  • -;-;-

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 2004

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Abstract

By using a differential isomorphism acting onto the space of analytic functions in aneighborhood of the origin, we find analytic solutions, in terms of the so-called Wright functions, for eigenvalue problems of integro-differential operators which are related to the classical simple harmonic oscillator. Further extensions are also mentioned.