On the derivatives of generalized Gegenbauer polynomials
W. Garcia Fuertes, A.M. Perelomov (U. Oviedo)
TL;DR
This paper derives new formulas for the derivatives of generalized Gegenbauer polynomials linked to the Lie algebra A2, expanding mathematical understanding of these special functions.
Contribution
It introduces novel derivative formulas for generalized Gegenbauer polynomials associated with the Lie algebra A2, which were not previously known.
Findings
New derivative formulas for generalized Gegenbauer polynomials.
Enhanced mathematical tools for Lie algebra A2 functions.
Potential applications in mathematical physics and representation theory.
Abstract
We prove some new formulae for the derivatives of the generalized Gegenbauer polynomials associated to the Lie algebra .
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Taxonomy
TopicsNumerical methods in inverse problems · Mathematical functions and polynomials · Matrix Theory and Algorithms