Book Review
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Book Information:
Authors:
George E. Andrews,
Richard Askey and
Ranjan Roy
Title:
Special functions
Additional book information:
Encyclopedia of Mathematics and Its Applications,
The University Press, Cambridge,
1999,
xvi + 664 pp.,
ISBN 0-521-62321-9,
$69.95$,
hardcover
[and] Andrews, George E., The theory of partitions, Encyclopedia of Mathematics and its Applications, Vol. 2, Addison-Wesley Publishing Co., Reading, MA (1976). MR 0557013
[apo] Apostol, Tom M., Introduction to analytic number theory, Undergraduate Texts in Mathematics, Springer-Verlag, New York (1976). MR 0434929
[bai] Bailey, W. N., Generalized hypergeometric series, Cambridge University Press, Cambridge (1935). MR 0185155
[bor] Borwein, Jonathan M., and Borwein, Peter B., Pi and the AGM, A study in analytic number theory and computational complexity, Canadian Mathematical Society Series of Monographs and Advanced Texts, John Wiley & Sons, Inc., New York (1987).
[die] Dieudonné, Jean, Special functions and linear representations of Lie groups, CBMS Regional Conference Series in Mathematics # 42, American Mathematical Society, Providence, R.I. (1980). MR 0557540
[dra] Drazin, P. G. and Johnson, R. S., Solitons: an introduction, Cambridge Texts in Applied Mathematics, Cambridge University Press, Cambridge (1989). MR 0985322
[erd] Erdelyi, A., et al., Higher transcendental functions, McGraw-Hill, New York (1953). MR 15:419i
[gas] Gasper, George, and Rahman, Mizan, Basic hypergeometric series, with a foreword by Richard Askey, Encyclopedia of Mathematics and its Applications, 35, Cambridge University Press, Cambridge (1990). MR 91df:33034
[goh] Goh, W.M.Y., and Wimp, J., The zero distribution of the Tricomi-Carlitz polynomials, Computers Math. Appl. 33, 119-127 (1997). MR 1442066
[leb] Lebedev, N.N., Special functions and their applications, tr. by Richard A. Silverman, Prentice-Hall, NJ (1965). MR 0174795
[pet] Petkovsek, Marko, Wilf, Herbert S., and Zeilberger, Doron, ``A=B'', with a foreword by Donald E. Knuth, A K Peters, Ltd., Wellesley, MA (1996). MR 1379802
[red] Redmond, Don, Number theory, an introduction, Marcel Dekker, Inc., New York (1996). MR 1384299
[sha] Shapiro, H. N., A micronote on a functional equation, Amer. Math. Monthly 80, 1041 (1973). MR 0326216
[sla] Slater, Lucy Joan, Generalized hypergeometric functions, Cambridge University Press, Cambridge (1966). MR 0201688
[van] Van Assche, Walter, Asymptotics for orthogonal polynomials, Lecture Notes in Mathematics, 1265, Springer-Verlag, New York (1987). MR 0903848
- [and]
- Andrews, George E., The theory of partitions, Encyclopedia of Mathematics and its Applications, Vol. 2, Addison-Wesley Publishing Co., Reading, MA (1976). MR 0557013
- [apo]
- Apostol, Tom M., Introduction to analytic number theory, Undergraduate Texts in Mathematics, Springer-Verlag, New York (1976). MR 0434929
- [bai]
- Bailey, W. N., Generalized hypergeometric series, Cambridge University Press, Cambridge (1935). MR 0185155
- [bor]
- Borwein, Jonathan M., and Borwein, Peter B., Pi and the AGM, A study in analytic number theory and computational complexity, Canadian Mathematical Society Series of Monographs and Advanced Texts, John Wiley & Sons, Inc., New York (1987).
- [die]
- Dieudonné, Jean, Special functions and linear representations of Lie groups, CBMS Regional Conference Series in Mathematics # 42, American Mathematical Society, Providence, R.I. (1980). MR 0557540
- [dra]
- Drazin, P. G. and Johnson, R. S., Solitons: an introduction, Cambridge Texts in Applied Mathematics, Cambridge University Press, Cambridge (1989). MR 0985322
- [erd]
- Erdelyi, A., et al., Higher transcendental functions, McGraw-Hill, New York (1953). MR 15:419i
- [gas]
- Gasper, George, and Rahman, Mizan, Basic hypergeometric series, with a foreword by Richard Askey, Encyclopedia of Mathematics and its Applications, 35, Cambridge University Press, Cambridge (1990). MR 91df:33034
- [goh]
- Goh, W.M.Y., and Wimp, J., The zero distribution of the Tricomi-Carlitz polynomials, Computers Math. Appl. 33, 119-127 (1997). MR 1442066
- [leb]
- Lebedev, N.N., Special functions and their applications, tr. by Richard A. Silverman, Prentice-Hall, NJ (1965). MR 0174795
- [pet]
- Petkovsek, Marko, Wilf, Herbert S., and Zeilberger, Doron, ``A=B'', with a foreword by Donald E. Knuth, A K Peters, Ltd., Wellesley, MA (1996). MR 1379802
- [red]
- Redmond, Don, Number theory, an introduction, Marcel Dekker, Inc., New York (1996). MR 1384299
- [sha]
- Shapiro, H. N., A micronote on a functional equation, Amer. Math. Monthly 80, 1041 (1973). MR 0326216
- [sla]
- Slater, Lucy Joan, Generalized hypergeometric functions, Cambridge University Press, Cambridge (1966). MR 0201688
- [van]
- Van Assche, Walter, Asymptotics for orthogonal polynomials, Lecture Notes in Mathematics, 1265, Springer-Verlag, New York (1987). MR 0903848
Review Information:
Reviewer:
Jet Wimp
Affiliation:
Drexel University
Email:
jwimp@mcs.drexel.edu
Journal:
Bull. Amer. Math. Soc.
37 (2000), 499-510
Published electronically:
June 27, 2000
Review copyright:
© Copyright 2000
American Mathematical Society