On criteria for algebraic independence of collections of functions satisfying algebraic difference relations

• Autorzy: Ogawara H.

Identyfikatory

DOI

10.7494/OpMath.2017.37.3.457

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

difference algebra; systems of algebraic difference equations; algebraic independence; Vignéras’multiple gamma functions; q-polylogarithm functions

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2017
• Tom: Vol. 37, no. 3
• Strony: 457--472
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Ogawara H.

• Kumamoto University Graduate School of Science and Technology 2-39-1 Kurokami, Chuo-ku, Kumamoto, 860-8555, Japan

Bibliografia

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Uwagi

EN

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).