000 01934cam a22002894a 4500
001 16203145
005 20250610151604.0
008 100426s2010 enka b 001 0 eng
020 _a9780521197977
040 _aCSL
_cCSL
041 _2eng
_aeng
084 _aB39 Q0 NBHM
_qCSL
100 1 _aBeals, Richard,
_eauthor.
_9812469
245 1 0 _aSpecial functions :
_bA graduate text
260 _aCambridge :
_bCambridge University Press,
_c2010.
300 _aix, 456 p. :
_bill. ;
_c24 cm.
490 1 _aCambridge studies in advanced mathematics ;
_v126
504 _aIncludes bibliographical references and indexes.
520 _a"The subject of special functions is often presented as a collection of disparate results, which are rarely organised in a coherent way. This book answers the need for a different approach to the subject. The authors' main goals are to emphasise general unifying principles coherently and to provide clear motivation, efficient proofs, and original references for all of the principal results. The book covers standard material, but also much more, including chapters on discrete orthogonal polynomials and elliptic functions. The authors show how a very large part of the subject traces back to two equations - the hypergeometric equation and the confluent hypergeometric equation - and describe the various ways in which these equations are canonical and special. Providing ready access to theory and formulas, this book serves as an ideal graduate-level textbook as well as a convenient reference"
650 0 _aFunctions, Special
_9812470
650 0 _aGamma, beta, zeta
_9812471
650 0 _aOrthogonal polynomials
_9812472
650 0 _aHypergeometric functions
_9812473
700 1 _aWong, Roderick,
_eco-author.
_9812474
830 0 _aCambridge studies in advanced mathematics ;
_v126.
_9812475
942 _2CC
_n0
_cTEXL
_hB39 Q0 NBHM
999 _c1431571
_d1431571