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On properties of hypergeometric functions of three variables,F M andF G

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Abstract

The behavior of Lauricella hypergeometric seriesF M andF G (see [2]) near the boundary points of their domains of convergence is discussed. Such properties for one variable series, the Gauss2 F 1 and the Clausen3 F 2, and for two variables, the AppellF 1,F 2 andF 3, are established by the author [5], [7] and the results are effectively applied to solve problems for the Euler-Darboux equation and to calculate multiplications of the fractional calculus operators in the articles by the author [4], [6] and by H. M. Srivastava and the author [9].

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References

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Authors and Affiliations

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

    Megumi Saigo

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  1. Megumi Saigo
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Saigo, M. On properties of hypergeometric functions of three variables,F M andF G . Rend. Circ. Mat. Palermo 37, 449–468 (1988). https://doi.org/10.1007/BF02844643

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  • DOI: https://doi.org/10.1007/BF02844643

AMS 1980 Mathematics Subject Classification (1985)

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