摘要
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.
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.
作者
Fadhle B. F. Mohsen
Ahmed Ali Atash
Hussein Saleh Bellehaj
Fadhle B. F. Mohsen;Ahmed Ali Atash;Hussein Saleh Bellehaj(Department of Mathematics, Faculty of Education-Zingibar, Aden University, Aden, Yemen;Department of Mathematics, Faculty of Education-Shabwah, Aden University, Aden, Yemen)
