Hypergeometric solutions for Coulomb self-energy model of uniformly charged hollow cylinder. (English) Zbl 1408.33011
Summary: The article aims at studying hypergeometric-type mathematical techniques based on the extension of a model previously used to describe the Coulomb self-energy of a uniformly charged a three-dimensional cylinder. The associated crossed term integral is investigated and solved by introducing a computational series built from hypergeometric-type terms for different values of parameters involved. The approach considered may be appealing for a broad audience of researchers working in mathematical physics or related disciplines.
MSC:
| 33C10 | Bessel and Airy functions, cylinder functions, \({}_0F_1\) |
| 33C20 | Generalized hypergeometric series, \({}_pF_q\) |
| 33C65 | Appell, Horn and Lauricella functions |
| 33C75 | Elliptic integrals as hypergeometric functions |
| 33E05 | Elliptic functions and integrals |
Keywords:
Gaussian hypergeometric function; generalized hypergeometric function; Kampé de Fériet hypergeometric function of two variables; Bessel function of the first kind; Appell function \(F_4\); integral form; closed formSoftware:
DLMFReferences:
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