The introduction of Changhee polynomials and numbers by Kim et al. in 2013, as published in Advances in Studies in Theoretical Physics, Volume 7, 2013, No. 20, pages 993–1003, sparked interest in their properties and identities. Building on Kim’s work, the authors of this chapter define the generating functions for poly-Changhee polynomials and numbers, as well as higher-order poly-Changhee polynomials and numbers, using an umbral calculus approach. They demonstrate how these polynomials and numbers are closely related to other polynomials, such as Stirling polynomials of the first and second kind, and Daehee polynomials and numbers, by utilizing poly-logarithmic functions. The authors also derive new explicit formulas and identities for these polynomials and numbers in their research.
Part of the book: Recent Research in Polynomials