
doi: 10.1007/bfb0064718
I. The formula referred to in the title is (I) below. The usefulness of the formula is based on the fact that it relates the value of a meromorphic function f(z) at a point of a sector to integrals of log If(z) I over arcs in this sector. Since such integrals are very directly related to the quantities considered in the Nevanlinna theory, the formula is easier to use than the usual Green's function formula for functions meromorphie in a sector which involves integrals of log Ifl along the boundary of the sector. An essentially equivalent formula was used by V. P. Petrenko in his proof of Paley's Conjecture [3]. By casting out some terms that were negligible for his purpose Petrenko actually complicated his proof, the complete formula (I) can be proved quite simply. Petrenko's Formula. Let f(z) b emeromorphic i_~n
| selected citations These citations are derived from selected sources. 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). | 0 | |
| 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. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
