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 ,US
  • G. P. Barker
     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 https://informaticsjournals.co.in/index.php/jims/article/view/16659

Issue

Volume 39, Issue 1-4, March-December 1975

Section

Articles

License

Copyright (c) 1975 S. K. Singh, G. P. Barker

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

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.