Pascal functions

Michael Maltenfort

doi:10.1080/00029890.2018.1401831

Pascal functions

Michael Maltenfort^*

^*Corresponding author for this work

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Abstract

We define Pascal functions by adapting the arithmetic rule that creates the Pascal triangle. By developing and applying properties of Pascal functions, we discover new identities and find new perspectives of old identities. The identities all involve binomial coefficients, with some also involving Stirling numbers, Stirling polynomials, associated Stirling numbers of the second kind, or Bell numbers.

Original language	English (US)
Pages (from-to)	115-129
Number of pages	15
Journal	American Mathematical Monthly
Volume	125
Issue number	2
DOIs	https://doi.org/10.1080/00029890.2018.1401831
State	Published - 2018

ASJC Scopus subject areas

General Mathematics

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10.1080/00029890.2018.1401831

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title = "Pascal functions",

abstract = "We define Pascal functions by adapting the arithmetic rule that creates the Pascal triangle. By developing and applying properties of Pascal functions, we discover new identities and find new perspectives of old identities. The identities all involve binomial coefficients, with some also involving Stirling numbers, Stirling polynomials, associated Stirling numbers of the second kind, or Bell numbers.",

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Pascal functions

Abstract

ASJC Scopus subject areas

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