Duplication formulae involving Jacobi theta functions and Gosper's q-trigonometric functions
Using the q-exponential function. Based on this concept, we derive a number of identities involving the Jacobi theta functions. These considerations lead to the answers to Gosper's ``mysteries''.
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| Veröffentlicht in: | Proceedings of the American Mathematical Society 2013-07, Vol.141 (7), p.2401-2410 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Using the q-exponential function. Based on this concept, we derive a number of identities involving the Jacobi theta functions. These considerations lead to the answers to Gosper's ``mysteries''. |
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| ISSN: | 0002-9939 1088-6826 |
| DOI: | 10.1090/S0002-9939-2013-11576-5 |