Entire and Meromorphic Functions
Identifieur interne : 001943 ( Main/Merge ); précédent : 001942; suivant : 001944Entire and Meromorphic Functions
Auteurs : A. A. Gol Berg ; B. Ya. Levin ; I. V. OstrovskiiSource :
- Encyclopaedia of Mathematical Sciences [ 0938-0396 ] ; 1997.
Abstract
Abstract: The works by Weierstrass, Mittag-Leffler and Picard dated back to the seventies of the last century marked the beginning of systematic studies of the theory of entire and meromorphicl functions. The theorems by Weierstrass and Mittag-Leffler gave a general description of the structure of entire and meromorphic functions. The representation of entire functions as an infinite product by Weierstrass served as the basis for studying properties of entire and meromorphic functions. The Picard theorem initiated the theory of value distribution of meromorphic functions. In 1899 Jensen proved a formula which relates the number of zeros of an entire function in a disk with the magnitude of its modulus on the circle. The Jensen formula was of a great importance for the development of the theory of entire and meromorphic functions.
Url:
DOI: 10.1007/978-3-662-03396-8_1
Links toward previous steps (curation, corpus...)
- to stream Istex, to step Corpus: 002125
- to stream Istex, to step Curation: 002125
- to stream Istex, to step Checkpoint: 001763
Links to Exploration step
ISTEX:A27D63213F1B99823511F1D782A6CFB17C109309Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Entire and Meromorphic Functions</title><author><name sortKey="Gol Berg, A A" sort="Gol Berg, A A" uniqKey="Gol Berg A" first="A. A." last="Gol Berg">A. A. Gol Berg</name></author><author><name sortKey="Levin, B Ya" sort="Levin, B Ya" uniqKey="Levin B" first="B. Ya." last="Levin">B. Ya. Levin</name></author><author><name sortKey="Ostrovskii, I V" sort="Ostrovskii, I V" uniqKey="Ostrovskii I" first="I. V." last="Ostrovskii">I. V. Ostrovskii</name></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:A27D63213F1B99823511F1D782A6CFB17C109309</idno><date when="1997" year="1997">1997</date><idno type="doi">10.1007/978-3-662-03396-8_1</idno><idno type="url">https://api.istex.fr/document/A27D63213F1B99823511F1D782A6CFB17C109309/fulltext/pdf</idno><idno type="wicri:Area/Istex/Corpus">002125</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">002125</idno><idno type="wicri:Area/Istex/Curation">002125</idno><idno type="wicri:Area/Istex/Checkpoint">001763</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">001763</idno><idno type="wicri:doubleKey">0938-0396:1997:Gol Berg A:entire:and:meromorphic</idno><idno type="wicri:Area/Main/Merge">001943</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Entire and Meromorphic Functions</title><author><name sortKey="Gol Berg, A A" sort="Gol Berg, A A" uniqKey="Gol Berg A" first="A. A." last="Gol Berg">A. A. Gol Berg</name></author><author><name sortKey="Levin, B Ya" sort="Levin, B Ya" uniqKey="Levin B" first="B. Ya." last="Levin">B. Ya. Levin</name></author><author><name sortKey="Ostrovskii, I V" sort="Ostrovskii, I V" uniqKey="Ostrovskii I" first="I. V." last="Ostrovskii">I. V. Ostrovskii</name></author></analytic><monogr></monogr><series><title level="s">Encyclopaedia of Mathematical Sciences</title><imprint><date>1997</date></imprint><idno type="ISSN">0938-0396</idno><idno type="ISSN">0938-0396</idno></series></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0938-0396</idno></seriesStmt></fileDesc><profileDesc><textClass></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: The works by Weierstrass, Mittag-Leffler and Picard dated back to the seventies of the last century marked the beginning of systematic studies of the theory of entire and meromorphicl functions. The theorems by Weierstrass and Mittag-Leffler gave a general description of the structure of entire and meromorphic functions. The representation of entire functions as an infinite product by Weierstrass served as the basis for studying properties of entire and meromorphic functions. The Picard theorem initiated the theory of value distribution of meromorphic functions. In 1899 Jensen proved a formula which relates the number of zeros of an entire function in a disk with the magnitude of its modulus on the circle. The Jensen formula was of a great importance for the development of the theory of entire and meromorphic functions.</div></front></TEI></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Mathematiques/explor/BourbakiV1/Data/Main/Merge
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 001943 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Merge/biblio.hfd -nk 001943 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Wicri/Mathematiques
|area= BourbakiV1
|flux= Main
|étape= Merge
|type= RBID
|clé= ISTEX:A27D63213F1B99823511F1D782A6CFB17C109309
|texte= Entire and Meromorphic Functions
}}
| This area was generated with Dilib version V0.6.33. |  |