Convolutions over Other Intervals

  • H. M. Srivastava
  • R. G. Buschman
Part of the Mathematics and Its Applications book series (MAIA, volume 79)


The associated Laplace convolution over the interval (x, ∞) has quite different properties from the convolution over the interval (0, x). The Mellin convolution over (0, x) can be converted to a similar equation over (x, ∞). The integral equations of these types are more closely related to convolutions over the intervals (0, ∞), (−∞, +∞) and (a, b). We discuss certain cases of these various convolutions for which the methods of the previous chapters provide explicit solutions. Additional examples of relations between integral equations and functional equations are included. Various results of the types considered in this chapter are listed in Tables 3 through 8.


Integral Equation Polynomial Kernel Fractional Integral Operator Inverse Laplace Transformation Mellin Transformation 
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Copyright information

© Springer Science+Business Media Dordrecht 1992

Authors and Affiliations

  • H. M. Srivastava
    • 1
  • R. G. Buschman
    • 2
  1. 1.Department of Mathematics and StatisticsUniversity of VictoriaVictoriaCanada
  2. 2.Department of Mathematics, College of Arts and SciencesUniversity of WyomingLaramieUSA

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