A Note About the Ki(z) Functions

2007/04/01 by Branko Malešević, Branko J. Malesevic, Malesevic, Branko J.
Mathematics · #Advanced Algebra and Geometry #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Number Theory (math.NT) #advanced mathematical theories #math.CV #math.NT

paper · pdf · doi:10.48550/arxiv.0704.0068

Accepted in Rocky Mountain Journal of mathematics

openalex publication_date 2007/04/01 · arxiv created 2007/05/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Related

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• Some remarks on Kurepa's left factorial
• Kurepa's conjecture on the left factorial function is true
• Some inequalities for Kurepa's function
• A Note on Kawashima Functions