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Record Nr. |
UNINA9910788847603321 |
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Autore |
Bowman Douglas <1965-> |
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Titolo |
q-difference operators, orthogonal polynomials, and symmetric expansions / / Douglas Bowman |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2002 |
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ISBN |
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Descrizione fisica |
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1 online resource (73 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 757 |
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Disciplina |
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Soggetti |
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q-series |
Difference operators |
Hypergeometric functions |
Orthogonal polynomials |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 159, number 757 (fourth of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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"" |
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