Value distribution and the Lemma of the logarithmic derivative on polydiscs
Value distribution is developed on polydiscs with the special emphasis that the value distribution function depend on a vector variable. A Lemma of the logarithmic derivative for meromorphic functions on polydiscs is derived. Here the Bergman boundary of the polydiscs is approached along cones of an...
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| Format: | Article |
| Language: | English |
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Wiley
1983-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171283000587 |
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| _version_ | 1849304282502791168 |
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| author | Wilhelm Stoll |
| author_facet | Wilhelm Stoll |
| author_sort | Wilhelm Stoll |
| collection | DOAJ |
| description | Value distribution is developed on polydiscs with the special emphasis that the value distribution function depend on a vector variable. A Lemma of the logarithmic derivative for meromorphic functions on polydiscs is derived. Here the Bergman boundary of the polydiscs is approached along cones of any dimension and exceptional sets for such an approach are defined. |
| format | Article |
| id | doaj-art-19a9fcb65f54423f9daedc1cea834f23 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1983-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-19a9fcb65f54423f9daedc1cea834f232025-08-20T03:55:47ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251983-01-016461766910.1155/S0161171283000587Value distribution and the Lemma of the logarithmic derivative on polydiscsWilhelm Stoll0Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556, USAValue distribution is developed on polydiscs with the special emphasis that the value distribution function depend on a vector variable. A Lemma of the logarithmic derivative for meromorphic functions on polydiscs is derived. Here the Bergman boundary of the polydiscs is approached along cones of any dimension and exceptional sets for such an approach are defined.http://dx.doi.org/10.1155/S0161171283000587value distribution theoryvalence functionJensen formulacharacteristic functioncounting functionspherical imagecompensation functionLemma of the logarithmic derivativeand approach cone. |
| spellingShingle | Wilhelm Stoll Value distribution and the Lemma of the logarithmic derivative on polydiscs International Journal of Mathematics and Mathematical Sciences value distribution theory valence function Jensen formula characteristic function counting function spherical image compensation function Lemma of the logarithmic derivative and approach cone. |
| title | Value distribution and the Lemma of the logarithmic derivative on polydiscs |
| title_full | Value distribution and the Lemma of the logarithmic derivative on polydiscs |
| title_fullStr | Value distribution and the Lemma of the logarithmic derivative on polydiscs |
| title_full_unstemmed | Value distribution and the Lemma of the logarithmic derivative on polydiscs |
| title_short | Value distribution and the Lemma of the logarithmic derivative on polydiscs |
| title_sort | value distribution and the lemma of the logarithmic derivative on polydiscs |
| topic | value distribution theory valence function Jensen formula characteristic function counting function spherical image compensation function Lemma of the logarithmic derivative and approach cone. |
| url | http://dx.doi.org/10.1155/S0161171283000587 |
| work_keys_str_mv | AT wilhelmstoll valuedistributionandthelemmaofthelogarithmicderivativeonpolydiscs |