Displaying similar documents to “An asymptotic expansion for a ratio of products of gamma functions.”

Asymptotic properties of solutions of nonautonomous difference equations

Janusz Migda (2010)

Archivum Mathematicum

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Asymptotic properties of solutions of difference equation of the form Δ m x n = a n ϕ n ( x σ ( n ) ) + b n are studied. Conditions under which every (every bounded) solution of the equation Δ m y n = b n is asymptotically equivalent to some solution of the above equation are obtained. Moreover, the conditions under which every polynomial sequence of degree less than m is asymptotically equivalent to some solution of the equation and every solution is asymptotically polynomial are obtained. The consequences of the existence of asymptotically...