A Notion of Fractional Slice Monogenic Functions with Respect to a Pair of Real Valued Functions

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DOI: https://doi.org/10.28924/2291-8639-23-2025-324
Published: Nov 28, 2025
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José Oscar González-Cervantes, Juan Bory-Reyes, A Notion of Fractional Slice Monogenic Functions with Respect to a Pair of Real Valued Functions, Int. J. Anal. Appl., 23 (2025), 324.

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José Oscar González-Cervantes, Juan Bory-Reyes

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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