Applications to Continued Fractions and Orthogonal Polynomials
Continued fractions are intimately connected with second-order difference equations. Every continued fraction may be associated with a second-order difference equation; and conversely, every second-order difference equation may be derived from some continued fraction. The first point of view is useful for computing continued fractions, the second for computing the minimal solutions.
KeywordsDifference Equation Orthogonal Polynomial Chebyshev Polynomial Continue Fraction Minimal Solution
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