Displaying similar documents to “A representation for the derivative of a meta-analytic function”

An example of local analytic q-difference equation : Analytic classification

Frédéric Menous (2006)

Annales de la faculté des sciences de Toulouse Mathématiques

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Using the techniques developed by Jean Ecalle for the study of nonlinear differential equations, we prove that the q -difference equation x σ q y = y + b ( y , x ) with ( σ q f ) ( x ) = f ( q x ) ( q > 1 ) and b ( 0 , 0 ) = y b ( 0 , 0 ) = 0 is analytically conjugated to one of the following equations : x σ q y = y ou x σ q y = y + x