Moments of products of elliptic integrals
We consider the moments of products of complete elliptic integrals of the first and second kinds. In particular, we derive new results using elementary means, aided by computer experimentation and a theorem of W. Zudilin. Diverse related evaluations, and two conjectures, are also given.
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| Veröffentlicht in: | Advances in applied mathematics 2012, Vol.48 (1), p.121-141 |
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| container_end_page | 141 |
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| container_issue | 1 |
| container_start_page | 121 |
| container_title | Advances in applied mathematics |
| container_volume | 48 |
| creator | Wan, James G. |
| description | We consider the moments of products of complete elliptic integrals of the first and second kinds. In particular, we derive new results using elementary means, aided by computer experimentation and a theorem of W. Zudilin. Diverse related evaluations, and two conjectures, are also given. |
| doi_str_mv | 10.1016/j.aam.2011.04.007 |
| format | Article |
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| ispartof | Advances in applied mathematics, 2012, Vol.48 (1), p.121-141 |
| issn | 0196-8858 1090-2074 |
| language | eng |
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| source | ScienceDirect Journals (5 years ago - present); EZB-FREE-00999 freely available EZB journals |
| subjects | Elliptic integrals Experimentation Generalised hypergeometric series Mathematical models Moments Theorems |
| title | Moments of products of elliptic integrals |
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