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Some integral representations of multivariable hypergeometric functions

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Abstract

The present paper is devoted to establish two integral representation formulas of multivariable hypergeometric functions. An application of the formulas yields some integral representations of Lauricella hypergeometric seriesF (n) A ,F (n) B ,F (n) C andF (n) D inn variables.

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References

  1. Bruchkov Yu.A., Glaeske H.-J., Prudnikov A.P., Vu K.T.,Multidimensional Integral Transforms, Geest & Portig K.G., Leipzig, and D. Reidel Publ., Amsterdam, (to appear).

  2. Exton H.,Handbook of Hypergeometric Integrals, Theory, Applications, Tables, Computer Programs, Halsted Press (Ellis Horwood), John Wiley and Sons, Chichester-New York-Brisbane-Toronto, 1978.

    MATH  Google Scholar 

  3. Lauricella G.,Sulle funzioni ipergeometriche a più variabili, Rend. Circ. Mat. Palermo7 (1893), 111–158.

    Article  Google Scholar 

  4. Marichev O.I.,Handbook of Integral Transforms of Higher Transcendental Functions, Theory and Algorithmic Tables, Halsted Press, (Ellis Horwood), John Wiley and Sons, New York-Brisbane-Chichester-Toronto, 1983.

    MATH  Google Scholar 

  5. Marichev O.I., Vu K.T.,The problems of definitions and symbols of G- and H-functions of several variables, Rev. Técn. Fac. Ingr. Univ. Zulia, Special Issue6 (1983), 144–151.

    MATH  Google Scholar 

  6. Mathai A.M., Saxena R.K.,Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences, Lecture Notes in Math.,348, Springer, Berlin-Heidelberg-New York, 1973.

    MATH  Google Scholar 

  7. Prudnikov A.P., Brychkov Yu.A., Marichev O.I.,Integrals and Series, Vol. 2, Special Functions, Goldon and Breach, New York-London-Paris-Montreux-Tokyo, 1986.

    Google Scholar 

  8. Prudnikov A.P., Brychkov Yu.A., Marichev O.I.,Integrals and Series, Vol. 3, More Special Functions, Goldon and Breach, New York-Philadelphia-London-Paris-Montreux-Tokyo-Melbourne, 1990.

    Google Scholar 

  9. Srivastava H.M., Daoust M.C.,Certain generalized Neumann expansions associated with the Kampé de Fériet function, Nederl. Akad. Wetensch. Proc. Ser. A,72 (1969), 449–457.

    MathSciNet  MATH  Google Scholar 

  10. Srivastava H.M., Karlsson P.W.,Multiple Gaussian Hypergeometric Series, Halsted Press (Ellis Horwood), John Wiley and Sons, New York-Chichester-Brisbane-Toronto, 1985.

    MATH  Google Scholar 

  11. Srivastava H.M., Panda R.,Some analytic or asymptotic confluent expansions for functions of several variables, Math. Comp.29 (1975), 1115–1128.

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Applied Mathematics, Fukuoka University, 814-01, Fukuoka, Japan

    Megumi Saigo & Vu Kim Tuan

  2. Institute of Mathematics, Bo Ho, P.O. Box 631, Hanoi, Vietnam

    Megumi Saigo & Vu Kim Tuan

Authors
  1. Megumi Saigo
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  2. Vu Kim Tuan
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AMS (1980) Subject Classification, 33A30, 33A35

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Saigo, M., Tuan, V.K. Some integral representations of multivariable hypergeometric functions. Rend. Circ. Mat. Palermo 41, 69–80 (1992). https://doi.org/10.1007/BF02844464

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  • DOI: https://doi.org/10.1007/BF02844464

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