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Publication Date
2025
Document Type
Poster
Degree Type
Undergraduate
Department
Physics
Mentor
Dr. Sunil Chebolu
Abstract
We define a sequence of polynomials in several variables that can help evaluate higher order derivatives of compositions of exponential and trigonometric functions. In addition, these polynomials encapsulate some important number theoretic and combinatorial sequences. These include partition function, Bell numbers, Stirling numbers of the first and second kind. We also prove formulas on higher derivatives of these polynomials.
Recommended Citation
Guo, Anna; Gomez, Lydia; Achammer, Ben; and Chebolu, Sunil, "Multiple Derivatives of Composition" (2025). University Research Symposium. 511.
https://ir.library.illinoisstate.edu/rsp_urs/511
