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Analytic Continuation Formulas for the Hypergeometric Functions in Three Variables of Second Order

Anvar HasanovTashkent Institute of Engineers of Irrigation and Mechanization of Agriculture, 100000, Tashkent, UzbekistanT. K. YuldashevFaculty of Physics and Mathematics, Jizzakh State Pedagogical Institute, 130100, Jizzakh, Uzbekistan
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Аннотация

In this article, some kind of hypergeometric functions are considered. For the three variables hypergeometric functions $${{F}_{1c}}\left(x,y,z\right)$$ , $${{F}_{2c}}\left(x,y,z\right)$$ , $${{F}_{4b}}\left(x,y,z\right)$$ , $${{F}_{4c}}\left(x,y,z\right)$$ , $${{F}_{5b}}\left(x,y,z\right)$$ , $${{F}_{5c}}\left(x,y,z\right)$$ are obtained the new analytic continuation formulas.

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