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q-difference operators, orthogonal polynomials, and symmetric expansions / / Douglas Bowman
| q-difference operators, orthogonal polynomials, and symmetric expansions / / Douglas Bowman |
| Autore | Bowman Douglas <1965-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2002 |
| Descrizione fisica | 1 online resource (73 p.) |
| Disciplina |
510 s
515/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
q-series
Difference operators Hypergeometric functions Orthogonal polynomials |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0350-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910480649303321 |
Bowman Douglas <1965->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
q-difference operators, orthogonal polynomials, and symmetric expansions / / Douglas Bowman
| q-difference operators, orthogonal polynomials, and symmetric expansions / / Douglas Bowman |
| Autore | Bowman Douglas <1965-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2002 |
| Descrizione fisica | 1 online resource (73 p.) |
| Disciplina |
510 s
515/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
q-series
Difference operators Hypergeometric functions Orthogonal polynomials |
| ISBN | 1-4704-0350-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910788847603321 |
|
Bowman Douglas <1965->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
q-difference operators, orthogonal polynomials, and symmetric expansions / / Douglas Bowman
| q-difference operators, orthogonal polynomials, and symmetric expansions / / Douglas Bowman |
| Autore | Bowman Douglas <1965-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2002 |
| Descrizione fisica | 1 online resource (73 p.) |
| Disciplina |
510 s
515/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
q-series
Difference operators Hypergeometric functions Orthogonal polynomials |
| ISBN | 1-4704-0350-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910820406403321 |
|
Bowman Douglas <1965->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||