Preprint Article Version 1 This version is not peer-reviewed

Symmetry in Formal Calculation

Version 1 : Received: 4 August 2024 / Approved: 4 August 2024 / Online: 7 August 2024 (17:49:44 CEST)

How to cite: Peng, J. Symmetry in Formal Calculation. Preprints 2024, 2024080503. https://doi.org/10.20944/preprints202408.0503.v1 Peng, J. Symmetry in Formal Calculation. Preprints 2024, 2024080503. https://doi.org/10.20944/preprints202408.0503.v1

Abstract

Formal Calculation uses an auxiliary form to calculate various nested sums and provides results in three forms. It is also a powerful tool for analysis. This article studies the symmetry of the coefficients in Formal Calculation. Three types of extended numbers were introduced, and many formulas for symmetric functions were obtained.

Keywords

Formal Calculation; Symmetry functions; stirling number; eulerian number

Subject

Computer Science and Mathematics, Discrete Mathematics and Combinatorics

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