Lothar Berg
Oscillating Solutions of Rational Difference Equations
The paper is published: Rostocker Mathematisches Kolloquium, Rostock. Math. Kolloq. 58, 31-35(2004)

MSC:

39A10 Difference equations, See also {33Dxx}

39A11 Stability of difference equations

33C10 Bessel and Airy functions, cylinder functions, $_0F_1$

Abstract: For a special rational difference equation of order two
oscillating series solution are constructed.
An example is given where Bessel functions
arise as coefficients.
Keywords: Rational difference equation, oscillating solutions, periodic solutions, Bessel functions