Combinatorial Properties of Mills Ratio
Alexander Kreinin
TL;DR
This paper investigates the combinatorial aspects of Mills' ratio, linking continued fractions, Laplace polynomials, and new combinatorial identities to deepen understanding of its mathematical structure.
Contribution
It introduces novel combinatorial identities related to Mills' ratio and explores their connections with continued fractions and Laplace polynomials.
Findings
New combinatorial identities for Mills' ratio
Connections between continued fractions and Laplace polynomials
Enhanced understanding of Mills' ratio properties
Abstract
We consider combinatorial properties of the Mills' ratio, and explore the interplay between a continued fraction expansion for the Mills' ratio, the Laplace polynomials and a new family of combinatorial identities.
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Taxonomy
TopicsManufacturing Process and Optimization