Some considerations in connection with alternating Kurepa's function
| dc.creator | Malesevic, Branko J. | |
| dc.date | 2004-06-11 | |
| dc.date | 2008-11-06 | |
| dc.date.accessioned | 2026-07-07T10:15:45Z | |
| dc.date.available | 2026-07-07T10:15:45Z | |
| dc.description | In this paper we consider the functional equation for alternating factorial sum and some of its particular solutions (alternating Kurepa's function $A(z)$ from [Petojevic_02] and function $A_{1}(z)$). We determine an extension of domain of functions $A(z)$ and $A_{1}(z)$ in the sense of the principal value at point [Slavic_73], [Mijajlovic & Malesevic_07]. Using the methods from [Slavic_73] and [Malesevic_03] we give a new representation of alternating Kurepa's function $A(z)$, which is an analog of Slavi\' c's representation of Kurepa's function $K(z)$ [Slavic_73], [Marichev_83]. Also, we consider some representations of functions $A(z)$ and $A_{1}(z)$ via incomplete gamma function and we consider differential transcendency of previous functions too. | |
| dc.identifier | https://arxiv.org/abs/math/0406236 | |
| dc.identifier | http://arxiv.org/abs/math/0406236 | |
| dc.identifier | The Integral Transforms and Special Functions, Vol. 19, No. 10, October 2008., 747-756 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/173279 | |
| dc.subject | Number Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | Complex Variables | |
| dc.subject | 30E20; 11J91; 81V99 | |
| dc.title | Some considerations in connection with alternating Kurepa's function | |
| dc.type | text |