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).
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© 1994 Springer Science+Business Media Dordrecht
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Yakubovich, S.B., Luchko, Y.F. (1994). H- and G-transforms. In: The Hypergeometric Approach to Integral Transforms and Convolutions. Mathematics and Its Applications, vol 287. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1196-6_3
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DOI: https://doi.org/10.1007/978-94-011-1196-6_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4523-0
Online ISBN: 978-94-011-1196-6
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