On the Poincaré functional equation
In this paper, a formula for the solution of the Poincaré functional equation in algebra of formal power series and its application to continuous iteration are presented.
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arXiv subjects
Sergei Kazenas
Publications and source records attributed to Sergei Kazenas.
A remark on the sequence defined by the nonhomogeneous linear difference equation
In this short paper, a formula for the sequence defined by the nonhomogeneous linear difference equation with variable coefficients is presented. A connection with the homogeneous case is shown.
math.CO↗
The Hadamard product and recursively defined sequences
In this paper the approach to obtaining nonrecurrent formulas for some recursively defined sequences is illustrated. The most interesting result in the paper is the formula for the solution of quadratic map-like recurrence. Also, some formulas for the solutions of linear difference equations with variable coefficients are obtained. At the end of the paper, some integer sequences associated with a quadratic map are considered.
math.CO↗