Special functions, q-series, and related topics
著者
書誌事項
Special functions, q-series, and related topics
（Fields Institute communications, v. 14）
American Mathematical Society, c1997
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注記
Includes bibliographical references
内容説明・目次
内容説明
This book contains contributions from the proceedings at The Fields Institute workshop on Special Functions, $q$-Series and Related Topics that was held in June 1995. The articles cover areas from quantum groups and their representations, multivariate special functions, $q$-series, and symbolic algebra techniques as well as the traditional areas of single-variable special functions. The book contains both pure and applied topics and reflects recent trends of research in the various areas of special functions.
目次
Refinements of Rogers-Ramanujan type identities by K. Alladi Ramanujan's class invariants with applications to the values of $q$-continued fractions and theta functions by B. C. Berndt, H. H. Chan, and L.-C. Zhang Elementary derivations of summation and transformation formulas for $q$-series by G. Gasper $\int ^{m/6}_{n/4} \ln \Gamma (z)dz$ by R. Wm. Gosper, Jr. On a $q$-analogue of Gauss equation and some $q$-Riccati equations by F. A. Grunbaum and L. Haine Determinant evaluations and $U(n)$ extensions of Heine's $_2\phi_1$-transformations by R. A. Gustafson and C. Krattenthaler Some generating functions for $q$-polynomials by M. E. H. Ismail, D. R. Masson, and S. K. Suslov Addition formulas for $q$-special functions by E. Koelink Special functions and $q$-commuting variables by T. H. Koornwinder Multivariable Askey-Wilson polynomials and quantum complex Grassmannians by M. Noumi, M. S. Dijkhuizen, and T. Sugitani A Mathematica $q$-analogue of Zeilberger's algorithm based on an algebraically motivated approach to $q$-hypergeometric telescoping by P. Paule and A. Riese Orthogonal polynomials in the complex plane and on the real line by W. Van Assche On orthogonal polynomials in several variables by Y. Xu Appendix I: Program list of speakers and topics by D. R. Masson Appendix II: List of participants by D. R. Masson.
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