Treffer: Existence theorem for proximate type of entire functions with index-pair (p, q): Existence theorem for proximate type of entire functions with index-pair (p,q)
Title:
Existence theorem for proximate type of entire functions with index-pair (p, q): Existence theorem for proximate type of entire functions with index-pair (p,q)
Authors:
Source:
Bulletin of the Australian Mathematical Society. 35:35-42
Publisher Information:
Cambridge University Press (CUP), 1987.
Publication Year:
1987
Subject Terms:
entire functions of (p,q)-order, Representations of entire functions of one complex variable by series and integrals, (p,q)-type, proximate type, index-pair (p,q), Special classes of entire functions of one complex variable and growth estimates, 0102 computer and information sciences, 0101 mathematics, 01 natural sciences
Document Type:
Fachzeitschrift
Article
File Description:
application/xml
Language:
English
ISSN:
1755-1633
0004-9727
0004-9727
DOI:
10.1017/s0004972700013010
Access URL:
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/F3B6C90604178CD7717B5000C36A59D5/S0004972700013010a.pdf/div-class-title-existence-theorem-for-proximate-type-of-entire-functions-with-index-pair-p-q-div.pdf
https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/existence-theorem-for-proximate-type-of-entire-functions-with-indexpair-p-q/F3B6C90604178CD7717B5000C36A59D5
http://www.journals.cambridge.org/abstract_S0004972700013010
https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/existence-theorem-for-proximate-type-of-entire-functions-with-indexpair-p-q/F3B6C90604178CD7717B5000C36A59D5
http://www.journals.cambridge.org/abstract_S0004972700013010
Rights:
Cambridge Core User Agreement
Accession Number:
edsair.doi.dedup.....e5a87c8efdc68fc0c3c96178c9c0d1c9
Database:
OpenAIRE
Weitere Informationen
R.S.L. Srivastava and O.P. Juneja (1967) proved an existence theorem for the proximate type T (r) of an entire function with classical growth. For an interesting generalization of this theorem for an entire function with index-pair (p,q), which is due essentially to H.S. Kasana and S.K. Vaish (1984), a remarkably simple (and markedly different) construction of T (r) is presented here. The main theorem established here applies to a much larger class of entire functions with index-pair (p,q) than that considered earlier.