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A Measure of Linear Independence for Some Exponential Functions II

Published online by Cambridge University Press:  20 November 2018

W. Dale Brownawell
W. Dale Brownawell*
Affiliation:
Penn State University, University Park, Pennsylvania
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This paper continues the investigations in [1] and [2] and extends the results of the latter paper to functions of several complex variables. Namely let λ : R>0 —> R>0 be monotonically increasing. (If λ is non-constant, we also require that log r = 0(λ(r)). We write / = 0(g) to mean that there is a constant C > 0 such that f(r) ≦ Cg(r) except possibly on a set of intervals of finite total length.) Let 0\ denote the set of meromorphic / on Cn for which the Nevanlinna characteristic function [5, p. 174] T(f, r) satisfies T(f, r) = 0(λ(r)).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 31 , Issue 2 , 01 April 1979 , pp. 341 - 346
Copyright
Copyright © Canadian Mathematical Society 1979

References

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