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Meromorphic Extension of Analytic Continued Fractions Across Their Divergence Line with Applications to Orthogonal Polynomials
For the limit periodic /-fraction K(-an/(k + bn)), an , bn £ C , n £ N , which is normalized such that it converges and represents a meromorphic function f(k) on C* :=C\[-1, 1 ], the numerators A" and denominators Bn of its nth approximant are explicitly determined for …