Below are some references for those who want more informations on the main topics treated by Peter Wynn.

Extrapolation and acceleration

C. Brezinski, M. Redivo-Zaglia
Extrapolation Methods. Theory and Practice
North-Holland, Amsterdam, 1991.
ISBN-10:0444888144; ISBN-13:978-0444888143;
eBook ISBN:9780080506227

C. Brezinski, M. Redivo-Zaglia
Extrapolation and Rational Approximation. The Works of the Main Contributors
Springer Nature, Cham, Switzerland, 2020.

J.P. Delahaye
Sequence Transformations
Springer-Verlag, Berlin, 1988.

G.I. Marchuk, V.V. Shaidurov
Difference Methods and Their Extrapolations
Springer-Verlag, New York, 1983.

G. Meurant ed.
Extrapolation and Fixed Points in Memoriam Peter Wynn (1931-2017)
Numer. Algorithms, Volume 80, Issue 1.

A. Sidi
Practical Extrapolation Methods. Theory and Applications
Cambridge University Press, Cambridge, 2003.

A. Sidi
Vector Extrapolation Methods with Applications
SIAM, Philadelphia, 2017.

E.J. Weniger
Nonlinear sequence transformations for the acceleration of convergence and the summation of divergent series
Comput. Phys. Rep., 10 (1989) 189-371.

J. Wimp
Sequence Transformations and their Applications
Mathematics in Science and Engineering, vol. 154, Academic Press, New York, 1981.
ISBN-10:0127579400; ISBN-13:978-0127579405; eBook ISBN: 9780080956626

Padé approximation

G.A. Baker Jr.
Essentials of Padé Approximants
Academic Press, New York, 1975.
ISBN-10:0124333052; ISBN-13:978-0124333055; eBook ISBN: 9780323156158

G.A. Baker Jr., P.R. Graves-Morris
Padé Approximants
2nd Edition, Cambridge University Press, Cambridge, 1996.

C. Brezinski, J. van Iseghem
Padé approximations
in Handbook of Numerical Analysis, vol. III, P.G. Ciarlet and J.L. Lions eds., North-Holland, Amsterdam, 1994, pp.47-222.

A. Bultheel
Laurent Series and their Padé Approximations
Birkhäuser, Basel, 1987.

C. Brezinski
Padé-Type Approximation and General Orthogonal Polynomials
ISNM, vol. 50, Birkhäuser--Verlag, Basel, 1980.

Continued fractions

C. Brezinski
History of Continued Fractions and Padé Approximants
Springer-Verlag, Berlin, 1991.

A.A.M. Cuyt, V. Petersen, B.M. Verdonk, H. Waadeland, W.B. Jones
Handbook of Continued Fractions for Special Functions
Springer, Heidelberg, 2008.

W.B. Jones, W.J. Thron
Continued Fractions. Analytic Theory and Applications
Addison-Wesley, Reading, 1980.

W.B. Jones, W.J. Thron
Continued fractions in numerical analysis
Appl. Numer. Math., 4 (1988) 143-230.

L. Lorentzen, H. Waadeland
Continued Fractions with Applications
North-Holland, Amsterdam, 1992.
ISBN-10:0444892656; ISBN-13:978-0444892652; eBook ISBN: 9780080934303

Orthogonal polynomials

A. Bultheel, M. van Barel
Linear Algebra, Rational Approximation and Orthogonal Polynomials
North-Holland, Amsterdam, 1997.
ISBN-10:0444828729; ISBN-13:978-0444828729; eBook ISBN: 9780080535524.

T.S. Chihara
An Introduction to Orthogonal Polynomials
Gordon and Breach, New York, 1978. Reprint ed., Dover , Mineola, New York, 2011.
ISBN-10:0486479293; ISBN-13:978-0486479293.

W. Gautschi
Orthogonal Polynomials: Computation and Approximation
Oxford University Press, Oxford, 2004.

G. Szegö
Orthogonal Polynomials
Colloquium Publications, vol. XXIII, American Mathematical Society, Providence, Rhode Island, USA, 1939.


J. Boos
Classical and Modern Methods in Summability
Oxford University Press, Oxford, 2000.
ISBN-10:019850165X; ISBN-13:978-0198501657

É. Borel
Leçons sur les Séries Divergentes
Gauthier-Villars, Paris, 1901; Second ed. with Georges Bouligand, 1928.

A. Peyerimhoff
Lectures on Summability
Lecture Notes in Mathematics, vol. 107, Springer-Verlag, Berlin, 1969.

B. Shawyer, B. Watson
Borel's Methods of Summability. Theory and Applications
Clarendon Press, Oxford, 1994.
ISBN-10:0198535856; ISBN-13:978-0198535850