Cargando…

Special functions /

"This treatise presents an overview of special functions, focusing primarily on hypergeometric functions and the associated hypergeometric series, including Bessel functions and classical orthogonal polynomials. The basic building block of the functions studied in this book is the gamma functio...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Andrews, George E., 1938-
Otros Autores: Askey, Richard, Roy, Ranjan, 1948-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, UK ; New York, NY, USA : Cambridge University Press, 1999.
Colección:Encyclopedia of mathematics and its applications ; v. 71.
Temas:
Acceso en línea:Texto completo

MARC

LEADER 00000cam a2200000 a 4500
001 EBSCO_ocn852896189
003 OCoLC
005 20231017213018.0
006 m o d
007 cr cnu---unuuu
008 130716s1999 enk ob 001 0 eng d
040 |a N$T  |b eng  |e pn  |c N$T  |d CAMBR  |d IDEBK  |d E7B  |d OCLCF  |d YDXCP  |d OCLCQ  |d AGLDB  |d OCLCQ  |d HEBIS  |d OCLCO  |d VTS  |d STF  |d AU@  |d M8D  |d UKAHL  |d OCLCQ  |d K6U  |d SFB  |d OCLCQ  |d OCLCO  |d INARC  |d OCLCQ  |d OCLCO 
019 |a 843762784 
020 |a 9781107266865  |q (electronic bk.) 
020 |a 1107266866  |q (electronic bk.) 
020 |a 9781107325937  |q (electronic bk.) 
020 |a 1107325935  |q (electronic bk.) 
020 |z 0521623219 
020 |z 9780521623216 
020 |z 0521789885 
020 |z 9780521789882 
029 1 |a DEBBG  |b BV043097255 
029 1 |a DEBSZ  |b 421251301 
029 1 |a GBVCP  |b 804793247 
029 1 |a DKDLA  |b 820120-katalog:9910052515705765 
035 |a (OCoLC)852896189  |z (OCoLC)843762784 
050 4 |a QA351  |b .A74 1999eb 
072 7 |a MAT  |x 005000  |2 bisacsh 
072 7 |a MAT  |x 034000  |2 bisacsh 
082 0 4 |a 515/.5  |2 22 
084 |a 31.49  |2 bcl 
049 |a UAMI 
100 1 |a Andrews, George E.,  |d 1938- 
245 1 0 |a Special functions /  |c George E. Andrews, Richard Askey, Ranjan Roy. 
260 |a Cambridge, UK ;  |a New York, NY, USA :  |b Cambridge University Press,  |c 1999. 
300 |a 1 online resource (xvi, 664 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Encyclopedia of mathematics and its applications ;  |v v. 71 
504 |a Includes bibliographical references (pages 641-653) and indexes. 
520 1 |a "This treatise presents an overview of special functions, focusing primarily on hypergeometric functions and the associated hypergeometric series, including Bessel functions and classical orthogonal polynomials. The basic building block of the functions studied in this book is the gamma function. In addition to relatively new work on gamma and beta functions, such as Selberg's multidimensional integrals, a number of important but relatively unknown nineteenth century results are included."--BOOK JACKET. "The authors provide organizing ideas, motivation, and historical background for the study and application of some important special functions. This work can serve as a learning tool and lasting reference for students and researchers in special functions, mathematical physics, differential equations, mathematical computing, number theory, and combinatorics."--Jacket 
588 0 |a Print version record. 
505 8 |a 1.12 The p-adic Gamma FunctionExercises; 2 The Hypergeometric Functions; 2.1 The Hypergeometric Series; 2.2 Euler's Integral Representation; 2.3 The Hypergeometric Equation; 2.4 The Barnes Integral for the Hypergeometric Function; 2.5 Contiguous Relations; 2.6 Dilogarithms; 2.7 Binomial Sums; 2.8 Dougall's Bilateral Sum; 2.9 Fractional Integration by Parts and Hypergeometric Integrals; Exercises; 3 Hypergeometric Transformations and Identities; 3.1 Quadratic Transformations; 3.2 The Arithmetic-Geometric Mean and Elliptic Integrals; 3.3 Transformations of Balanced Series 
505 8 |a 3.4 Whipple's Transformation3.5 Dougall's Formula and Hypergeometric Identities; 3.6 Integral Analogs of Hypergeometric Sums; 3.7 Contiguous Relations; 3.8 The Wilson Polynomials; 3.9 Quadratic Transformations -- Riemann's View; 3.10 Indefinite Hypergeometric Summation; 3.11 The W-Z Method; 3.12 Contiguous Relations and Summation Methods; Exercises; 4 Bessel Functions and Confluent Hypergeometric Functions; 4.1 The Confluent Hypergeometric Equation; 4.2 Barnes's Integral for 1F1; 4.3 Whittaker Functions; 4.4 Examples of 1F1 and Whittaker Functions; 4.5 Bessel's Equation and Bessel Functions 
505 8 |a 4.6 Recurrence Relations4.7 Integral Representations of Bessel Functions; 4.8 Asymptotic Expansions; 4.9 Fourier Transforms and Bessel Functions; 4.10 Addition Theorems; 4.11 Integrals of Bessel Functions; 4.12 The Modified Bessel Functions; 4.13 Nicholson's Integral; 4.14 Zeros of Bessel Functions; 4.15 Monotonicity Properties of Bessel Functions; 4.16 Zero-Free Regions for 1F1 Functions; Exercises; 5 Orthogonal Polynomials; 5.1 Chebyshev Polynomials; 5.2 Recurrence; 5.3 Gauss Quadrature; 5.4 Zeros of Orthogonal Polynomials; 5.5 Continued Fractions; 5.6 Kernel Polynomials 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
650 0 |a Functions, Special. 
650 6 |a Fonctions spéciales. 
650 7 |a MATHEMATICS  |x Calculus.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Mathematical Analysis.  |2 bisacsh 
650 7 |a Functions, Special  |2 fast 
650 7 |a Spezielle Funktion  |2 gnd 
650 1 7 |a Speciale functies (wiskunde)  |2 gtt 
650 7 |a Fonctions spéciales.  |2 ram 
700 1 |a Askey, Richard. 
700 1 |a Roy, Ranjan,  |d 1948- 
776 0 8 |i Print version:  |a Andrews, George E., 1938-  |t Special functions.  |d Cambridge, UK ; New York, NY, USA : Cambridge University Press, 1999  |z 0521623219  |w (DLC) 98025757  |w (OCoLC)39189987 
830 0 |a Encyclopedia of mathematics and its applications ;  |v v. 71. 
856 4 0 |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=589166  |z Texto completo 
938 |a Internet Archive  |b INAR  |n specialfunctions0071andr 
938 |a Askews and Holts Library Services  |b ASKH  |n AH26478710 
938 |a ebrary  |b EBRY  |n ebr10733621 
938 |a EBSCOhost  |b EBSC  |n 589166 
938 |a ProQuest MyiLibrary Digital eBook Collection  |b IDEB  |n cis26006648 
938 |a YBP Library Services  |b YANK  |n 10705753 
938 |a YBP Library Services  |b YANK  |n 10862053 
938 |a YBP Library Services  |b YANK  |n 10869811 
994 |a 92  |b IZTAP