Clifford–Hermite Polynomials in Fractional Clifford Analysis
In this paper we generalize and standardize Clifford–Hermite polynomials to the new framework of fractional Clifford analysis with respect to the Riemann–Liouville derivative in a symbolic way. As the main consequence of this approach, one does not require an a priori integration theory. Basic properties such as orthogonality relations, differential equations, and recursion formulas, are proven
KeywordsClifford analysis Hermite polynomials fractional calculus Riemann–Liouville fractional derivatives fractional Dirac operator
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