Algebraic methods and q-special functions
著者
書誌事項
Algebraic methods and q-special functions
(CRM proceedings & lecture notes, v. 22)
American Mathematical Society, c1999
大学図書館所蔵 全28件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
"In the week of May 21-26 of 1996, the Centre de recherches mathématiques (CRM) held a workshop on Algebraic Methods and q-Special Functions. This event took place at the CRM in Montréal" -- Pref
内容説明・目次
内容説明
There has been revived interest in recent years in the study of special functions. Many of the latest advances in the field were inspired by the works of R. A. Askey and colleagues on basic hypergeometric series and I. G. Macdonald on orthogonal polynomials related to root systems. Significant progress was made by the use of algebraic techniques involving quantum groups, Hecke algebras, and combinatorial methods. The CRM organized a workshop for key researchers in the field to present an overview of current trends. This volume consists of the contributions to that workshop. The topics include basic hypergeometric functions, algebraic and representation-theoretic methods, combinatorics of symmetric functions, root systems, and the connections with integrable systems.
目次
Science fiction and Macdonald's polynomials by F. Bergeron and A. M. Garsia On the expansion of elliptic functions and applications by R. Chouikha Generalized hypergeometric functions-Classification of identities and explicit rational approximations by D. V. Chudnovsky and G. V. Chudnovsky Tensor products of $q$-superalgebras and $q$-series identities. I by W. S. Chung, E. G. Kalnins, and W. Miller, Jr. $q$-Racah polynomials for $BC$ type root systems by J. F. van Diejen and J. V. Stokman Intertwining operators of type $B_N$ by C. F. Dunkl Symmetries and continuous $q$-orthogonal polynomials by R. Floreanini, J. LeTourneux, and L. Vinet Addition theorems for spherical polynomials on a family of quantum spheres by P. G. A. Floris On a $q$-analogue of the string equation and a generalization of the classical orthogonal polynomials by F. A. Grunbaum and L. Haine The $q$-Bessel function on a $q$-quadratic grid by M. E. H. Ismail, D. R. Masson, and S. K. Suslov Three statistics on lattice paths by D. Kim and D. Stanton Quantum Grothendieck polynomials by A. N. Kirillov $q$-difference raising operators for Macdonald polynomials and the integrality of transition coefficients by A. N. Kirillov and M. Noumi Great powers of $q$-calculus by B. A. Kupershmidt $q$-special functions: Differential-difference equations, roots of unity, and all that by V. Spiridonov On algebras of creation and annihilation operators by A. Strasburger.
「Nielsen BookData」 より