Orthogonal Polynomials and Continued Fractions: From Euler's Point of View

Full account of Euler's work on continued fractions and orthogonal polynomials; illustrates the significance of his work on mathematics today.

Continued Fractions: From Analytic Number Theory to Constructive Approximation: From Analytic Number Theory to Constructive Approximation : a Volume in...
By Bruce C. Berndt, Fritz Gesztesy
... Columbia Bruce C. Berndt, Fritz Gesztesy. In the particular case where we have Vo = –1 – W1, then Theorem 3.1 shows ... V1, –1 g V1 and oo e 6V1 under our conditions. In view of Theorem 3.1 and the comments above, it suffices to prove ...
Introduction to Analysis of the Infinite
By Leonhard Euler
Introduction to Analysis of the Infinite