A triangular field of rational numbers related to Stirling numbers and Hyperbolic functions
Andreas B. G. Blobel

TL;DR
This paper introduces a triangular field of rational numbers linked to Stirling numbers, hyperbolic functions, and binomial distributions, providing a generating function to explore their relationships.
Contribution
It characterizes a new triangular field of rational numbers and establishes connections with Stirling numbers, hyperbolic functions, and binomial distributions, including a generating function.
Findings
Defines a new triangular field of rational numbers.
Establishes relationships with Stirling numbers and hyperbolic functions.
Provides a generating function for the field.
Abstract
A triangular field of rational numbers is characterized, with relations to Stirling numbers 2nd, Hyperbolic functions, and centered Binomial distribution. A Generating function is given.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Advanced Mathematical Identities · Mathematical functions and polynomials
