Presents integral formulas and series expansions for monogenic functions in real alternative *-algebras that unify several hypercomplex analysis theories.
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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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Monogenic functions over real alternative *-algebras: fundamental results and applications
Presents integral formulas and series expansions for monogenic functions in real alternative *-algebras that unify several hypercomplex analysis theories.
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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.