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