Transformation Formulas for the First Kind of Lauricella’s Function of Several VariablesReportar como inadecuado




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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.

KEYWORDS

Transformation Formulas, Lauricella’s function, Dixon’s Theorem, Kampé de Fériet Function

Cite this paper

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.





Autor: Fadhle B. F. Mohsen1, Ahmed Ali Atash2, Hussein Saleh Bellehaj2

Fuente: http://www.scirp.org/



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