Generalized partial-slice monogenic functions are introduced over octonions, unifying regular and slice regular functions with proofs of identity theorem, representation formula, Cauchy integral formula, maximum modulus principle, Fueter polynomials, and Taylor series.
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Generalized partial-slice monogenic functions: the octonionic case
Generalized partial-slice monogenic functions are introduced over octonions, unifying regular and slice regular functions with proofs of identity theorem, representation formula, Cauchy integral formula, maximum modulus principle, Fueter polynomials, and Taylor series.