64 citations · 583 across the 32 of their papers we have counts for
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math.CV2009★ 30 cited
The zero sets of slice regular functions and the open mapping theorem
G. Gentili, C. Stoppato
A new class of regular quaternionic functions, defined by power series in a natural fashion, has been introduced in recent years. Several results of the theory recall the classical…
math.CV2009★ 64 cited
Power series and analyticity over the quaternions
G. Gentili, C. Stoppato
We study power series and analyticity in the quaternionic setting. We first consider a function f defined as the sum of a quaternionic power series centered at 0 in its domain of c…
math.CV2009★ 9 cited
A Phragmén - Lindelöf principle for slice regular functions
G. Gentili, C. Stoppato, D. C. Struppa
The celebrated 100-year old Phragmen-Lindelof principle is a far reaching extension of the maximum modulus theorem for holomorphic functions of one complex variable. In some recent…