Continued fractions : from analytic number theory to constructive approximation : a volume in honor of L.J. Lange : continued fractions, from analytic number theory to constructive approximation, May 2023, 1998, University of MissouriColumbia

Contributor(s): Berndt Bruce C | Gesztesy Fritz | Lange L JMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 236Publication details: Providence, RI : American Mathematical Society, 1999Description: 1 online resource (xviii, 379 p.)ISBN: 9780821878279 (online)Subject(s): Continued fractionsOnline resources: Click here to access online
Contents:
Continued fractions and orthogonal polynomials ; The problems submitted by Ramanujan to the Journal of the Indian Mathematical Society ; Some examples of moment preserving approximation ; Relations between certain symmetric strong Stieltjes distributions ; Estimates of the rate of convergence for certain quadrature formulas on the halfline ; Wavelets by orthogonal rational kernels ; On the explicit evaluations of the RogersRamanujan continued fraction ; Absence of phase transitions in modified twocomponent plasmas: the analytic theory of continued fractions in statistical mechanics ; Some continued fractions related to elliptic functions ; Asymptotics of Stieltjes continued fraction coefficients and applications to Whittaker functions ; A generalization of Van Vleck's theorem and more on complex continued fractions ; Convergence of interpolating Laurent polynomials on an annulus ; Convergence criteria for continued fractions Richard Askey ; Bruce C Berndt YounSeo Choi and SoonYi Kang ; B Bojanov and A Sri Ranga ; C F Bracciali ; Adhemar Bultheel Carlos DiazMendoza Pablo GonzalezVera and Ramon Orive ; Adhemar Bultheel and Pablo GonzalezVera ; Heng Huat Chan and Victor Tan ; Dov Chelst ; Mourad E H Ismail and David R Masson ; William B Jones and Guoxiang Shen ; L J Lange ; Xin Li ; Lisa Lorentzen ; Olav Njastad ; Franz Peherstorfer and Robert Steinbauer ; Serge Perrine ; Igor Rodnianski ; Walter Van Assche ; Alfred J van der Poorten ; Haakon Waadeland ; Franck Wielonsky
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Includes bibliographical references.

Continued fractions and orthogonal polynomials ; The problems submitted by Ramanujan to the Journal of the Indian Mathematical Society ; Some examples of moment preserving approximation ; Relations between certain symmetric strong Stieltjes distributions ; Estimates of the rate of convergence for certain quadrature formulas on the halfline ; Wavelets by orthogonal rational kernels ; On the explicit evaluations of the RogersRamanujan continued fraction ; Absence of phase transitions in modified twocomponent plasmas: the analytic theory of continued fractions in statistical mechanics ; Some continued fractions related to elliptic functions ; Asymptotics of Stieltjes continued fraction coefficients and applications to Whittaker functions ; A generalization of Van Vleck's theorem and more on complex continued fractions ; Convergence of interpolating Laurent polynomials on an annulus ; Convergence criteria for continued fractions (a_n1) based on value sets ; Strong Stieltjes moment problems ; Weak asymptotics of orthogonal polynomials on the support of the measure of orthogonality and considerations on functions of the second kind ; Trees of approximation constants ; Continued fractions and Schrodinger evolution ; Multiple orthogonal polynomials, irrationality and transcendence ; Reduction of continued fractions of formal power series ; Some observations in frequency analysis ; Some properties of HermitePade approximants to ^z Richard Askey ; Bruce C Berndt YounSeo Choi and SoonYi Kang ; B Bojanov and A Sri Ranga ; C F Bracciali ; Adhemar Bultheel Carlos DiazMendoza Pablo GonzalezVera and Ramon Orive ; Adhemar Bultheel and Pablo GonzalezVera ; Heng Huat Chan and Victor Tan ; Dov Chelst ; Mourad E H Ismail and David R Masson ; William B Jones and Guoxiang Shen ; L J Lange ; Xin Li ; Lisa Lorentzen ; Olav Njastad ; Franz Peherstorfer and Robert Steinbauer ; Serge Perrine ; Igor Rodnianski ; Walter Van Assche ; Alfred J van der Poorten ; Haakon Waadeland ; Franck Wielonsky

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