Geometry, Algebra and their applications | Fractional slice regular functions of a quaternionic variable

December 20, 2023 5 p.m. CET Zoom online

José Oscar González-Cervantes Instituto Politécnico Nacional, Mexico City

Fractional slice regular functions of a quaternionic variable

Keywords

fractional slice regular function
fractional Cauchy-Riemann operator
quaternionic variable

Abstract The talk is based on the recent accepted paper: Fractional slice regular functions of a quaternionic variable (González-Cervantes, Bory-Reyes, Sabadini; Results in Mathematics 2023), in which the theory of quaternionic fractional slice regular functions, in Riemann-Liouville and Caputo senses, as null-solutions of a fractional Cauchy-Riemann operator is presented.