Q-Series from a Contemporary Perspective. (Record no. 68448)
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fixed length control field | 04476nam a22004693i 4500 |
001 - CONTROL NUMBER | |
control field | EBC3112913 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | MiAaPQ |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20240729124528.0 |
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
fixed length control field | m o d | |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
fixed length control field | cr cnu|||||||| |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 240724s2000 xx o ||||0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9780821878446 |
Qualifying information | (electronic bk.) |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
Canceled/invalid ISBN | 9780821811504 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (MiAaPQ)EBC3112913 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (Au-PeEL)EBL3112913 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (CaPaEBR)ebr10873076 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (OCoLC)922980520 |
040 ## - CATALOGING SOURCE | |
Original cataloging agency | MiAaPQ |
Language of cataloging | eng |
Description conventions | rda |
-- | pn |
Transcribing agency | MiAaPQ |
Modifying agency | MiAaPQ |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | QA295 -- .A55 1998eb |
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 515/.243 |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Ismail, Mourad E.H. |
245 10 - TITLE STATEMENT | |
Title | Q-Series from a Contemporary Perspective. |
250 ## - EDITION STATEMENT | |
Edition statement | 1st ed. |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
Place of production, publication, distribution, manufacture | Providence : |
Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
Date of production, publication, distribution, manufacture, or copyright notice | 2000. |
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
Date of production, publication, distribution, manufacture, or copyright notice | ©2000. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | 1 online resource (446 pages) |
336 ## - CONTENT TYPE | |
Content type term | text |
Content type code | txt |
Source | rdacontent |
337 ## - MEDIA TYPE | |
Media type term | computer |
Media type code | c |
Source | rdamedia |
338 ## - CARRIER TYPE | |
Carrier type term | online resource |
Carrier type code | cr |
Source | rdacarrier |
490 1# - SERIES STATEMENT | |
Series statement | Contemporary Mathematics ; |
Volume/sequential designation | v.254 |
505 0# - FORMATTED CONTENTS NOTE | |
Formatted contents note | Intro -- 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 -- 0. Introduction -- 1. Modified Hall-Littlewood polynomials -- 1.1. Definition -- 1.2. Modified Hall-Littlewood polynomials for partition λ = (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 Hall-Littlewood polynomials and Demazure characters -- 1.6. Modified Hall-Littlewood polynomials and chains of subgroupsin a finite abelian p-group -- 2. Generalized mahonian statistics -- 2.1. Mahonian statistics on the set M(μ) -- 2.2. Dual mahonian statistics -- 2.3. Generalized mahonian statistics -- 3. Main results -- 3.1. Combinatorial formula for modified Hall-Littlewood polynomials -- 3.2. New combinatorial formula for the transition matrix M(e, P) -- 4. Proofs of Theorems 3.1 and 3.4. |
505 8# - FORMATTED CONTENTS NOTE | |
Formatted contents note | 4.1. Proof of Theorem 3.4 -- 4.2. Proof of Theorem 3.1 -- 5. Polynomials Pλμ(t) and their interpretations -- 6. Generalizations of polynomials Pλμ(t) and Kλμ(t) -- 6.1. Crystal Kostka polynomials -- 6.2. Fusion Kostka polynomials -- 6.3. Ribbon Kostka polynomials -- 6.4. Generalized Kostka polynomials -- 6.5. Summary -- 7. Fermionic formulae -- 7.1. Multinomial fermionic formulae for one dimensional sums -- 7.2. Rigged configurations polynomials -- 8. 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. |
588 ## - SOURCE OF DESCRIPTION NOTE | |
Source of description note | Description based on publisher supplied metadata and other sources. |
590 ## - LOCAL NOTE (RLIN) | |
Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | q-series -- Congresses. |
655 #4 - INDEX TERM--GENRE/FORM | |
Genre/form data or focus term | Electronic books. |
700 1# - ADDED ENTRY--PERSONAL NAME | |
Personal name | Stanton, Dennis W. |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Relationship information | Print version: |
Main entry heading | Ismail, Mourad E.H. |
Title | Q-Series from a Contemporary Perspective |
Place, publisher, and date of publication | Providence : American Mathematical Society,c2000 |
International Standard Book Number | 9780821811504 |
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
Uniform title | Contemporary Mathematics |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3112913">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3112913</a> |
Public note | Click to View |
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