- Tytuł:
- On criteria for algebraic independence of collections of functions satisfying algebraic difference relations
- Autorzy:
- Ogawara, H.
- Powiązania:
- https://bibliotekanauki.pl/articles/255709.pdf
- Data publikacji:
- 2017
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
difference algebra
systems of algebraic difference equations
algebraic independence
Vignéras’multiple gamma functions
q-polylogarithm functions - Opis:
- 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.
- Źródło:
-
Opuscula Mathematica; 2017, 37, 3; 457-472
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł