A notion of fractional slice monogenic functions with respect to a pair of real valued functions

2024/11/17 by Cervantes, José Oscar González, Bory-Reyes, Juan
#26A33 #30G30 #30G35 #32A30 #45P05 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2411.11198

Abstract

This work presents the basic elements and results of a Clifford algebra valued fractional slice monogenic functions theory defined from the null-solutions of a suitably fractional Cauchy-Riemann operator in the Riemann-Liouville and Caputo sense with respect to a pair of real valued functions on certain domains of Euclidean spaces.

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