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The Inverse Laplace Transform of a Wide Class of Special Functions

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Abstract

The aim of the present work is to obtain the inverse Laplace transform of theproduct of the factors of the types.i=1.sli + i. i , a general class of polynomials andthe multivariable H -function. The polynomials and the functions involved in our mainformula as well as their arguments are quite general in nature. On account of the generalnature of our main ndings, the inverse Laplace transform of the product of a large varietyof polynomials and numerous simple special functions involving one or more variables canbe obtained as simple special cases of our main result. We give here exact references tothe results of seven research papers that follow as simple special cases of our main result.

참고문헌 (13)

  1. "The G and H functions as symmetrical Fourier kernels", 98, pp.395~429 (1961)
  2. "On the inverse Laplace transform", 4, pp.1~5 (1990)
  3. "On the inverse Laplace transform of the product of ageneral class of polynomials and the multivariableH -function", math. sci, pp.21~24 (1990)
  4. "A unied inverse Laplace transform formula, functionsof practical importance andH -functions,", 1, pp.7~16 (2002)
  5. "Biorthogonal polynomials suggested by the Laguerre polynomials", 21, pp.303~314 (1967)
  6. "TheH -function with applications in statistic andother disciplines" (1978), Wiley Eastern Ltd.
  7. "The inverse Laplace transform of the product of Bessel and Whittakerfunctions", 40, pp.367~369 (1965)
  8. "A unied inverse Laplace transform formula involvingthe product of a general class of polynomials and the FoxH -function", 36, pp.87~92 (2005)
  9. "A contour integral involving Fox’sH -function", 14, pp.1~6 (1972)
  10. "The Weyl fractional integral of general class of polynomials", 6, pp.219~228 (1983)
  11. "The $H$-functions of one and two variables with applications" (1982), South Asian Publishers
  12. "Some bilateral generating functions for a class of generalized hypergeometric polynomials", 283, pp.284 (1976), 265~274
  13. "The integration of certain products of the multivariable $H$-function with a general class of polynomials}", 32, pp.157~187 (1983)

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