Preliminaries on Special Function Kernels

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


In this chapter we present a brief introduction to the relevant literature on the subject of convolution integral equations from Abel’s time to the present. The emphasis is upon explicit solutions to Volterra convolution integral equations of the first kind in which the kernels are explicit special functions. Sections cover kernels from algebraic through Bessel and on to generalized hypergeometric functions. Table 1 is arranged in roughly the same order.


Laplace Transformation Fractional Integral Generalize Hypergeometric Function Confluent Hypergeometric Function 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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