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This article is devoted to the generalization of the well-known theorem of Bohr about the existence of a number \(r\in(0,1)\) such that if a power series \(\sum^\infty_{\nu=0}c_\nu z^\nu\) converges in the unit disk and the modulus of its sum is less than 1, then \(\sum^\infty_{\nu=0}|c_\nu z^\nu|<1\) for \(|z|
ddc:510, Second-order elliptic equations, harmonic function, separately harmonic functions, Institut für Mathematik, elliptic equations, Applications of functional analysis to differential and integral equations, power series, pluriharmonic functions, Power series, series of functions of several complex variables
ddc:510, Second-order elliptic equations, harmonic function, separately harmonic functions, Institut für Mathematik, elliptic equations, Applications of functional analysis to differential and integral equations, power series, pluriharmonic functions, Power series, series of functions of several complex variables
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 30 | |
popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Top 10% | |
influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |