Handbook of Continued Fractions for Special Functions

Annie Cuyt, Vigdis Brevik Petersen, Brigitte Verdonk, Haakon Waadeland and William B. Jones
Additional contact information
Annie Cuyt: University of Antwerp, Department of Mathematics and Computer Science
Vigdis Brevik Petersen: Sør-Trøndelag University College, Faculty of Teacher and Interpreter Education
Brigitte Verdonk: University of Antwerp, Department of Mathematics and Computer Science
Haakon Waadeland: Norwegian University of Science and Technology, Department of Mathematical Sciences
William B. Jones: University of Colorado, Department of Mathematics

in Springer Books from Springer

Date: 2008
ISBN: 978-1-4020-6949-9
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Chapters in this book:

Ch 1 Basics

Annie Cuyt, Vigdis Brevik Petersen, Brigitte Verdonk, Haakon Waadeland and William B. Jones

Ch 2 Continued fraction representation of functions

Annie Cuyt, Vigdis Brevik Petersen, Brigitte Verdonk, Haakon Waadeland and William B. Jones

Ch 3 Convergence criteria

Annie Cuyt, Vigdis Brevik Petersen, Brigitte Verdonk, Haakon Waadeland and William B. Jones

Ch 4 Padé approximants

Annie Cuyt, Vigdis Brevik Petersen, Brigitte Verdonk, Haakon Waadeland and William B. Jones

Ch 5 Moment theory and orthogonal functions

Annie Cuyt, Vigdis Brevik Petersen, Brigitte Verdonk, Haakon Waadeland and William B. Jones

Ch 6 Continued fraction construction

Annie Cuyt, Vigdis Brevik Petersen, Brigitte Verdonk, Haakon Waadeland and William B. Jones

Ch 7 Truncation error bounds

Annie Cuyt, Vigdis Brevik Petersen, Brigitte Verdonk, Haakon Waadeland and William B. Jones

Ch 8 Continued fraction evaluation

Annie Cuyt, Vigdis Brevik Petersen, Brigitte Verdonk, Haakon Waadeland and William B. Jones

Ch 9 On tables and graphs

Annie Cuyt, Vigdis Brevik Petersen, Brigitte Verdonk, Haakon Waadeland and William B. Jones

Ch 10 Mathematical constants

Annie Cuyt, Vigdis Brevik Petersen, Brigitte Verdonk, Haakon Waadeland and William B. Jones

Ch 11 Elementary functions

Annie Cuyt, Vigdis Brevik Petersen, Brigitte Verdonk, Haakon Waadeland and William B. Jones

Ch 12 Gamma function and related functions

Annie Cuyt, Vigdis Brevik Petersen, Brigitte Verdonk, Haakon Waadeland and William B. Jones

Ch 13 Error function and related integrals

Annie Cuyt, Vigdis Brevik Petersen, Brigitte Verdonk, Haakon Waadeland and William B. Jones

Ch 14 Exponential integrals and related functions

Annie Cuyt, Vigdis Brevik Petersen, Brigitte Verdonk, Haakon Waadeland and William B. Jones

Ch 15 Hypergeometric functions

Annie Cuyt, Vigdis Brevik Petersen, Brigitte Verdonk, Haakon Waadeland and William B. Jones

Ch 16 Confluent hypergeometric functions

Annie Cuyt, Vigdis Brevik Petersen, Brigitte Verdonk, Haakon Waadeland and William B. Jones

Ch 17 Bessel functions

Annie Cuyt, Vigdis Brevik Petersen, Brigitte Verdonk, Haakon Waadeland and William B. Jones

Ch 18 Probability functions

Annie Cuyt, Vigdis Brevik Petersen, Brigitte Verdonk, Haakon Waadeland and William B. Jones

Ch 19 Basic hypergeometric functions

Annie Cuyt, Vigdis Brevik Petersen, Brigitte Verdonk, Haakon Waadeland and William B. Jones

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DOI: 10.1007/978-1-4020-6949-9

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