Some considerations in connection with Kurepa's function
| dc.creator | Malesevic, Branko J. | |
| dc.date | 2004-06-11 | |
| dc.date.accessioned | 2026-07-07T05:09:10Z | |
| dc.date.available | 2026-07-07T05:09:10Z | |
| dc.description | In this paper we consider the functional equation for factorial sum and its particular solutions (Kurepa's function $K(z)$ \cite{Kurepa_71} and function $K_{1}(z)$). We determine an extension of domain of functions $K(z)$ and $K_{1}(z)$ in the sense of Cauchy's principal value at point \cite{Slavic_70}. In this paper we give an addendum to the proof of Slavi\' c's representation of Kurepa's function $K(z)$ \cite{Slavic_73}. Also, we consider some representations of functions $K(z)$ and $K_{1}(z)$ via incomplete gamma function and we consider differential transcendency of previous functions too. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/math/0406235 | |
| dc.identifier | http://arxiv.org/abs/math/0406235 | |
| dc.identifier | Univ. Beograd. Publ. Elektrotehn. Fak., Ser. Mat. 14 (2003), 30-40 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71532 | |
| dc.subject | Number Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | Complex Variables | |
| dc.subject | 30E20; 11J91 | |
| dc.title | Some considerations in connection with Kurepa's function | |
| dc.type | text |