Treffer: Nevanlinna Matrices of Entire Functions: Nevanlinna matrices of entire functions

Title:
Nevanlinna Matrices of Entire Functions: Nevanlinna matrices of entire functions
Authors:
Berg, Christian, Pedersen, Henrik L.
Source:
Mathematische Nachrichten. 171:29-52
Publisher Information:
Wiley, 1995.
Publication Year:
1995
Subject Terms:
Special classes of entire functions of one complex variable and growth estimates, 0101 mathematics, 01 natural sciences
Document Type:
Fachzeitschrift Article
File Description:
application/xml
Language:
English
ISSN:
1522-2616
0025-584X
DOI:
10.1002/mana.19951710104
Access URL:
https://zbmath.org/727710
https://doi.org/10.1002/mana.19951710104
https://onlinelibrary.wiley.com/doi/abs/10.1002/mana.19951710104
Rights:
Wiley Online Library User Agreement
Accession Number:
edsair.doi.dedup.....0d4f2ef6caef9d0010d27d1fa753ea9d
Database:
OpenAIRE

Weitere Informationen

The notion of a pre‐Nevanlinna matrix of entire functions is introduced, and we find necessary and sufficient conditions for an entire function to belong to such a matrix, thereby generalizing previous work of Krein.If one of the functions in a pre‐Nevanlinna matrix is a polynomial, then the three others arc also polynomials and their degrees differ by at most two. If the functions in a pre‐Nevanlinna matrix are transcendental they have necessarily the same order, type and indicators.