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Transformation Formulas for the First Kind of Lauricella’s Function of Several Variables

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DOI: 10.4236/jamp.2016.46115    1,150 Downloads   1,493 Views Citations

ABSTRACT

Very recently Atash and Al-Gonah [1] derived two extension formulas for Lauricella’s function of the second kind of several variables and . Now in this research paper we derive two families of transformation formulas for the first kind of Lauricella’s function of several variables and with the help of generalized Dixon’s theorem on the sum of the series obtained earlier by Lavoie et al. [2]. Some new and known results are also deduced as applications of our main formulas.

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Mohsen, F. , Ali Atash, A. and Bellehaj, H. (2016) Transformation Formulas for the First Kind of Lauricella’s Function of Several Variables. Journal of Applied Mathematics and Physics, 4, 1112-1119. doi: 10.4236/jamp.2016.46115.

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