A Note About the {Ki(z)} Functions

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In the article [Petojevic 2006], A. Petojevi\' c verified useful properties of the $K_{i}(z)$ functions which generalize Kurepa's [Kurepa 1971] left factorial function. In this note, we present simplified proofs of two of these results and we answer the open question stated in [Petojevic 2006]. Finally, we discuss the differential transcendency of the $K_{i}(z)$ functions.
Accepted in Rocky Mountain Journal of mathematics

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Number Theory, Complex Variables

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http://salesiana.dossiersoluciones.com/handle/123456789/131460

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0704.0068
 http://arxiv.org/abs/0704.0068

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arXiv