Description
Book SynopsisPresents the proceedings of the Joint Summer Research Conference on $q$-series, combinatorics, and computer algebra held at Mount Holyoke College (South Hadley, MA). This book includes articles which reflect the diversity of areas that overlap with $q$-series, as well as the usefulness of $q$-series across the mathematical sciences.
Table of ContentsThe mathematical contributions of Richard Askey by G. Gasper, M. E.-H. Ismail, T. Koornwinder, P. Nevai, and D. Stanton Curriculum vitae of Richard A. Askey by M. E. H. Ismail and D. W. Stanton Reformulations of a partition theorem of Gollnitz and $q$-series identities by K. Alladi Schur's theorem, partitions with odd parts and the Al-Salam-Carlitz polynomials by G. E. Andrews Singularity and monodromy of quasi-hypergeometric functions by K. Aomoto and K. Iguchi Incomplete elliptic integrals in Ramanujan's lost notebook by B. C. Berndt, H. H. Chan, and S.-S. Huang Measure algebras associated with orthogonal polynomials by W. C. Connett and A. L. Schwartz Word straightening and $q$-Eulerian calculus by D. Foata and G. Han Path generating transforms by O. Foda, K. S. M. Lee, Y. Pugai, and T. A. Welsh $q$-extensions of Erdelyi's fractional integral representations for hypergeometric functions and some summation formulas for double $q$-Kampe de Feriet series by G. Gasper Numerical investigation of basic Fourier series by R. Wm. Gosper, Jr. and S. K. Suslov An identity of Ramanujan, and applications by M. D. Hirschhorn Addition theorems for the $q$-exponential function by M. E. H. Ismail and D. W. Stanton The Schur functions for partitions with complex parts by K. W. J. Kadell On Forrester's generalization of Morris constant term identity by J. Kaneko New combinatorial formula for modified Hall-Littlewood polynomials by A. N. Kirillov Schur function identities and the number of perfect matchings of Holey Aztec rectangles by C. Krattenthaler A new $U(n)$ generalization of the Jacobi triple product identity by S. C. Milne A new quantum algebraic interpretation of the Askey-Wilson polynomials by H. Rosengren Some properties of Koornwinder polynomials by S. Sahi A new multidimensional matrix inversion in $A_r$ by M. Schlosser.
