The Journal of the Indian Mathematical Society

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A Note on the Order of Meromorphic Functions


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1 Mathematics Department, University of Missouri-Kansas City, Kansas City, Missouri, 64110, United States
     

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If f(z) is a meromorphic function of order ρ(f) (0 ≤ ρ(f) < ∞) and lower order λ(f), then

ρ(f) = Max {λ(f), ρ1(0),ρ1(∞)}

where ρ1(0) and ρ1(∞) are the exponents of convergence of the zeros and poles respectively, of f{z).


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  • A Note on the Order of Meromorphic Functions

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Authors

S. K. Singh
Mathematics Department, University of Missouri-Kansas City, Kansas City, Missouri, 64110, United States
G. P. Barker
Mathematics Department, University of Missouri-Kansas City, Kansas City, Missouri, 64110, United States

Abstract


If f(z) is a meromorphic function of order ρ(f) (0 ≤ ρ(f) < ∞) and lower order λ(f), then

ρ(f) = Max {λ(f), ρ1(0),ρ1(∞)}

where ρ1(0) and ρ1(∞) are the exponents of convergence of the zeros and poles respectively, of f{z).