Bohr type theorems for monogenic power series

DOI10.1007/BF03321749zbMath1186.30043arXiv0710.1590OpenAlexW1976143294MaRDI QIDQ1045735

Klaus Gürlebeck, João Pedro Morais

Publication date: 15 December 2009

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.1590

zbMATH Keywords

Bohr's theoremspherical monogenicshomogeneous monogenic polynomials

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Power series, series of functions of several complex variables (32A05)

Related Items (9)

Real-part estimates for solutions of the Riesz system in ℝ³ ⋮ Bohr phenomenon for certain close-to-convex analytic functions ⋮ Bloch's theorem in the context of quaternion analysis ⋮ On Hadamard's three‐hyperballs theorem and its applications to Whittaker‐Cannon hypercomplex theory ⋮ Comments on an Orthogonal Family of Monogenic Functions on Spheroidal Domains ⋮ Bohr theorems for slice regular functions over octonions ⋮ Hadamard three-hyperballs type theorem and overconvergence of special monogenic simple series ⋮ Certain bases of polynomials associated with entire functions in Clifford analysis ⋮ On Riesz systems of harmonic conjugates in R3

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