English

A Note About the {Ki(z)} Functions

Number Theory 2007-06-13 v2 Complex Variables

Abstract

In the article [Petojevic 2006], A. Petojevi\' c verified useful properties of the Ki(z)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 Ki(z)K_{i}(z) functions.

Keywords

Cite

@article{arxiv.0704.0068,
  title  = {A Note About the {Ki(z)} Functions},
  author = {Branko J. Malesevic},
  journal= {arXiv preprint arXiv:0704.0068},
  year   = {2007}
}

Comments

Accepted in Rocky Mountain Journal of mathematics