A Note on the Order of Meromorphic Functions

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Authors

  • Mathematics Department, University of Missouri-Kansas City, Kansas City, Missouri, 64110 ,US
  • Mathematics Department, University of Missouri-Kansas City, Kansas City, Missouri, 64110 ,US

Abstract

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

Ï(f) = Max {λ(f), Ï1(0),Ï1(∞)}

where Ï1(0) and Ï1(∞) are the exponents of convergence of the zeros and poles respectively, of f{z).

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Published

1975-12-01

How to Cite

Singh, S. K., & Barker, G. P. (1975). A Note on the Order of Meromorphic Functions. The Journal of the Indian Mathematical Society, 39(1-4), 321–323. Retrieved from http://www.informaticsjournals.com/index.php/jims/article/view/16659

 

References

B. JA. LEVIN, Distribution of Zeros of Entire Functions. Amer. Math. Soc. Providence, R.I. 1966.

J.M. WHITTAKER, Entire functions of irregular growth take every value, Bull. London Math. Soc. 4(1972), 130-132.