Cargando…
Q-Series from a Contemporary Perspective.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
2000.
|
| Colección: | Contemporary Mathematics.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- ""1.1. Definition""""1.2. Modified Hallâ€?Littlewood polynomials for partition Î" = (1N)""; ""1.3. Hall-Littlewood polynomials and characters of the affine Lie algebra sl(n)""; ""1.4. Modified Hall-Littlewood polynomials and unipotent flag varieties""; ""1.5. Modified Hallâ€?Littlewood polynomials and Demazure characters""; ""1.6. Modified Hallâ€?Littlewood polynomials and chains of subgroupsin a finite abelian pâ€?group""; ""Â2. Generalized mahonian statistics""; ""2.1. Mahonian statistics on the set M(Î?)""; ""2.2. Dual mahonian statistics""; ""2.3. Generalized mahonian statistics""
- ""Contents""; ""Preface""; ""The mathematical contributions of Richard Askey""; ""Curriculum vitae of Richard A. Askey""; ""Reformulations of a partition theorem of Göllnitz and q-series identities""; ""Schur's theorem, partitions with odd parts and the Al-Salam-Carlitz polynomials""; ""Singularity and monodromy of quasi-hypergeometric functions""; ""Incomplete elliptic integrals in Ramanujan's lost notebook""; ""Measure algebras associated with orthogonal polynomials""; ""Word straightening and q-Eulerian calculus""; ""Path generating transforms""
- ""Q-extensions of Erdélyi's fractional integral representations for hypergeometric functions and some summation formulas for double q-Kampé de Fériet series""""Numerical investigation of basic Fourier series""; ""An identity of Ramanujan, and applications""; ""Addition theorems for the q-exponential function""; ""The Schur functions for partitions with complex parts""; ""On Forrester's generalization of Morris constant term identity""; ""New combinatorial formula for modified Hall-Littlewood polynomials""; ""Â0. Introduction""; ""Â1. Modified Hall-Littlewood polynomials""
- ""Â3. Main results""""3.1. Combinatorial formula for modified Hallâ€?Littlewood polynomials""; ""3.2. New combinatorial formula for the transition matrix M(e, P)""; ""Â4. Proofs of Theorems 3.1 and 3.4""; ""4.1. Proof of Theorem 3.4""; ""4.2. Proof of Theorem 3.1""; ""Â5. Polynomials PÎ"Î?(t) and their interpretations""; ""Â6. Generalizations of polynomials PÎ"Î?(t) and KÎ"Î?(t)""; ""6.1. Crystal Kostka polynomials""; ""6.2. Fusion Kostka polynomials""; ""6.3. Ribbon Kostka polynomials""; ""6.4. Generalized Kostka polynomials""; ""6.5. Summary""; ""Â7. Fermionic formulae""
- ""7.1. Multinomial fermionic formulae for one dimensional sums""""7.2. Rigged configurations polynomials""; ""Â8. Two parameter deformation of one dimensional sums""; ""References""; ""Schur function identities and the number of perfect matchings of Holey Aztec rectangles""; ""A new U(n) generalization of the Jacobi triple product identity""; ""A new quantum algebraic interpretation of the Askey-Wilson polynomials""; ""Some properties of Koornwinder polynomials""; ""A new multidimensional matrix inversion in Ar""