Holomorphic Functions in the Plane and n-dimensional Space

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The algebra of slice functions (2015, background): “Among the monographs on this subject, let us mention [3, 20].”
The inverse Fueter mapping theorem (2011, methodology): “In the paper [9] the authors, using the Cauchy formula for slice monogenic functions, show an integral relation between monogenic functions, see [1], [8], [19], [23] and slice monogenic functions.”
Entire slice regular functions (2015, background): “Let us recall the definition of quaternionic logarithm, see [108], [126].”
On a generalized Appell system and monogenic power series (2009, methodology): “Proof In [6] it was proved that for a generalized power series in Rn+1 with respect to a certain radius of convergence, the role of summation and differentiation can be interchanged.”
A New Resolvent Equation for the $$S$$S-Functional Calculus (2013, unknown): “Jefferies and their coauthors (see [27, 28, 30, 33], the monograph [26] and the references therein) who first used the theory of hyperholomorphic functions, see [10, 18, 20, 25], to define a hyperholomorphic functional calculus for n-tuples of operators.”
Complete Orthogonal Appell Systems for Spherical Monogenics (2011, methodology): “For an account of Clifford analysis, we refer to [6, 16, 20, 19].”
Slice regular functions on real alternative algebras (2010, methodology): “[26] for properties of these algebras), slice functions will be defined on a proper subset of Rn, what we call the quadratic cone of the algebra.”