Author:

Keywords:

Science & Technology, Physical Sciences, Mathematics, Nonhomogeneous nonlinear second order difference equations, Shohat-Freud-type exponential weight functions, Painleve's discrete equation #1, Existence of solutions, Unicity of solutions, Asymptotic behavior, math.CA, 39A22, 65Q10, 65Q30, 0101 Pure Mathematics, 0102 Applied Mathematics, Numerical & Computational Mathematics, 4901 Applied mathematics, 4904 Pure mathematics

Abstract:

We study solutions of certain nonhomogeneous nonlinear second order difference equations. Depending on one's standpoint, such equations originate from orthogonal polynomials associated with certain Shohat-Freud-type exponential weight functions or from Painlevé's discrete equation #1, that is d-P_I.