q-difference operators, orthogonal polynomials, and symmetric expansions:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Mathematical Society
2002
|
| Series: | Memoirs of the American Mathematical Society
757 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "Volume 159, number 757 (fourth of 5 numbers)." |
| Physical Description: | IX, 56 S. |
| ISBN: | 082182774X |
Staff View
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| 245 | 1 | 0 | |a q-difference operators, orthogonal polynomials, and symmetric expansions |c Douglas Bowman |
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Record in the Search Index
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| adam_text | Contents
Chapter 1. Introduction and preliminaries 1
1.1. g Symmetric polynomials and the q multinomial 3
1.2. ^ Difference operators 4
1.3. Orthogonal polynomials 8
1.4. The symmetric functions 3 m 11
1.5. Further notation, conventions and base inversion 13
Chapter 2. New results and connections with current research 15
2.1. Identification of $4 as g hypergeometric 15
2.2. Symmetry creating operators 18
2.3. Rogers s paper and orthogonal polynomials 20
2.4. Synthesis: The continuous g ultraspherical polynomials 24
2.5. Convergence criteria for operator theorems 30
2.6. A fascinating phenomenon 33
2.7. Operator theorems and q Heisenberg algebras 35
Chapter 3. Vector operator identities and simple applications 39
3.1. A new operator theorem 39
3.2. Applications to g series 41
3.3. A vector g Leibniz rule 48
3.4. Further operator theorems and simple applications 50
3.5. Conclusion 52
Bibliography 55
vii
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| ctrlnum | (OCoLC)49671718 (DE-599)BVBBV014486403 |
| dewey-full | 510 515/.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 515 - Analysis |
| dewey-raw | 510 515/.55 |
| dewey-search | 510 515/.55 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV014486403 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:03:02Z |
| institution | BVB |
| isbn | 082182774X |
| language | English |
| lccn | 2002025581 |
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| physical | IX, 56 S. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Bowman, Douglas Verfasser aut q-difference operators, orthogonal polynomials, and symmetric expansions Douglas Bowman Providence, RI American Mathematical Society 2002 IX, 56 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 757 "Volume 159, number 757 (fourth of 5 numbers)." Hypergeometrische functies gtt Difference operators Hypergeometric functions Orthogonal polynomials q-series Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Nichtholonome Bedingung (DE-588)4171735-1 gnd rswk-swf Orthogonale Polynome (DE-588)4172863-4 gnd rswk-swf Hypergeometrische Reihe (DE-588)4161061-1 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Hypergeometrische Reihe (DE-588)4161061-1 s DE-604 Dynamisches System (DE-588)4013396-5 s Nichtholonome Bedingung (DE-588)4171735-1 s Kontrolltheorie (DE-588)4032317-1 s Orthogonale Polynome (DE-588)4172863-4 s Memoirs of the American Mathematical Society 757 (DE-604)BV008000141 757 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009879669&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bowman, Douglas q-difference operators, orthogonal polynomials, and symmetric expansions Memoirs of the American Mathematical Society Hypergeometrische functies gtt Difference operators Hypergeometric functions Orthogonal polynomials q-series Kontrolltheorie (DE-588)4032317-1 gnd Nichtholonome Bedingung (DE-588)4171735-1 gnd Orthogonale Polynome (DE-588)4172863-4 gnd Hypergeometrische Reihe (DE-588)4161061-1 gnd Dynamisches System (DE-588)4013396-5 gnd |
| subject_GND | (DE-588)4032317-1 (DE-588)4171735-1 (DE-588)4172863-4 (DE-588)4161061-1 (DE-588)4013396-5 |
| title | q-difference operators, orthogonal polynomials, and symmetric expansions |
| title_auth | q-difference operators, orthogonal polynomials, and symmetric expansions |
| title_exact_search | q-difference operators, orthogonal polynomials, and symmetric expansions |
| title_full | q-difference operators, orthogonal polynomials, and symmetric expansions Douglas Bowman |
| title_fullStr | q-difference operators, orthogonal polynomials, and symmetric expansions Douglas Bowman |
| title_full_unstemmed | q-difference operators, orthogonal polynomials, and symmetric expansions Douglas Bowman |
| title_short | q-difference operators, orthogonal polynomials, and symmetric expansions |
| title_sort | q difference operators orthogonal polynomials and symmetric expansions |
| topic | Hypergeometrische functies gtt Difference operators Hypergeometric functions Orthogonal polynomials q-series Kontrolltheorie (DE-588)4032317-1 gnd Nichtholonome Bedingung (DE-588)4171735-1 gnd Orthogonale Polynome (DE-588)4172863-4 gnd Hypergeometrische Reihe (DE-588)4161061-1 gnd Dynamisches System (DE-588)4013396-5 gnd |
| topic_facet | Hypergeometrische functies Difference operators Hypergeometric functions Orthogonal polynomials q-series Kontrolltheorie Nichtholonome Bedingung Orthogonale Polynome Hypergeometrische Reihe Dynamisches System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009879669&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT bowmandouglas qdifferenceoperatorsorthogonalpolynomialsandsymmetricexpansions |