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H- and G-transforms

  • Semen B. Yakubovich
  • Yurii F. Luchko
Part of the Mathematics and Its Applications book series (MAIA, volume 287)

Abstract

In this chapter, we consider Mellin convolution type transform (2.1) with Fox’s H-function (1.50) and Meijer’s G-function (1.46) as kernels. This transform in various forms and spaces of functions was considered by C. Fox (1961, 1971), R.N. Kesarwani (1959)–(1971), V.K. Kapoor and S. Masood (1968), K.C. Gupta and P.K. Mittal (1970, 1971), S.L. Kalla (1969 a,b), C.M. Joshi and M.L. Prajapat (1976), H.M. Srivastava (1972), H.M. Srivastava and R.G. Buschman (1973, 1976, 1977, 1992), R. Singh (1970), R.G. Buschman and H.M. Srivastava (1975), P.G. Rooney (1973, 1983), Vu Kim Tuan (1987), S.G. Samko et al. (1987), Nguyen Thanh Hai and S.B. Yakubovich (1992), A.A. Kilbas et al. (1993).

Keywords

Uniform Convergence Inverse Operator Inversion Formula Fractional Integration Integral Transform 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1994

Authors and Affiliations

  • Semen B. Yakubovich
    • 1
  • Yurii F. Luchko
    • 1
  1. 1.Department of Mathematics and MechanicsBeylorussian State UniversityMinsk, ByelorussiaRussia

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