Some Results of Phragmén-Lindelöf Type
✍ Scribed by N.F.D. Ward; P.C. Fenton
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 253 KB
- Volume
- 192
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
For an algebraic curve V in C k × C n it is investigated when it satisfies the Phragmén-Lindelöf condition PL(ω) of evolution in certain classes of ultradifferentiable functions. Necessary as well as sufficient conditions are obtained which lead to a complete characterization for curves in C × C n .
The aim of this paper is to prove the following theorem of the PHRAGMEN-LINDE-LOF type. ## Theorem. Let f ( z ) be analytic in the angular domain and for some p E (0, + -) satistifis the following conditions: a) there exists the boundary function f [ r e q ) ( k i i x l ( 2 a ) ) I ~L p (0, +-) s
## Abstract A Nordhaus‐‐Gaddum‐type result is a (tgiht) lower or upper bound on the sum or product of a parameter of a graph and its complement. In this paper some variations are considered. First, the sums and products of ψ(__G__~1~) and ψ(__G__~2~) are examined where __G__~1~ ⊕ __G__~2~ = __K__(_