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Browsing by Subject "systems of algebraic difference equations"

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    Item type:Article, Access status: Open Access ,
    On criteria for algebraic independence of collections of functions satisfying algebraic difference relations
    (2017) Ogawara, Hiroshi
    This paper gives conditions for algebraic independence of a collection of functions satisfying a certain kind of algebraic difference relations. As applications, we show algebraic independence of two collections of special functions: (1) Vignéras’ multiple gamma functions and derivatives of the gamma function, (2) the logarithmic function, $q$-exponential functions and $q$-polylogarithm functions. In a similar way, we give a generalization of Ostrowski’s theorem.