q-difference operators, orthogonal polynomials, and symmetric expansions / / Douglas Bowman

• Autore: Bowman Douglas <1965->
• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , 2002
• Descrizione fisica: 1 online resource (73 p.)
• Disciplina: 510 s; 515/.55
• Soggetto topico: q-series; Difference operators; Hypergeometric functions; Orthogonal polynomials
• Note generali: "Volume 159, number 757 (fourth of 5 numbers)."
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""Contents""; ""Chapter 1. Introduction and preliminaries""; ""1.1. q-Symmetric polynomials and the q-multinomial""; ""1.2. q-Difference operators""; ""1.3. Orthogonal polynomials""; ""1.4. The symmetric functions Î?[sub(m)]""; ""1.5. Further notation, conventions and base inversion""; ""Chapter 2. New results and connections with current research""; ""2.1. Identification of Î?[sub(4)] as q-hypergeometric""; ""2.2. Symmetry creating operators""; ""2.3. Rogers's paper and orthogonal polynomials""; ""2.4. Synthesis: The continuous q-ultraspherical polynomials"" ; ""2.5. Convergence criteria for operator theorems""""2.6. A fascinating phenomenon""; ""2.7. Operator theorems and q-Heisenberg algebras""; ""Chapter 3. Vector operator identities and simple applications""; ""3.1. A new operator theorem""; ""3.2. Applications to q-series""; ""3.3. A vector q-Leibniz rule""; ""3.4. Further operator theorems and simple applications""; ""3.5. Conclusion""; ""Bibliography""
• Titolo autorizzato: Q-difference operators, orthogonal polynomials, and symmetric expansions
• ISBN: 1-4704-0350-1
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910820406403321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; no. 757.