Pascal functions

Michael Maltenfort*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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 languageEnglish (US)
Pages (from-to)115-129
Number of pages15
JournalAmerican Mathematical Monthly
Issue number2
StatePublished - 2018

ASJC Scopus subject areas

  • General Mathematics


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