A Note on Entire Functions of Bounded Index

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Authors

  • Department of Mathematics, Madras Christian College, Tambaram ,IN

Abstract

An entire function f(z) ≠ 0 is said to be of bounded index in the sense of Lepson ([6], pp. 304-305) if there exists an integer M.

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Published

1974-12-01

How to Cite

Lakshminarasimhan, T. V. (1974). A Note on Entire Functions of Bounded Index. The Journal of the Indian Mathematical Society, 38(1-4), 43–49. Retrieved from http://informaticsjournals.com/index.php/jims/article/view/16680

 

References

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W. K. HAYMAN : Differential inequalities and local valency, Pacific Journal of Mathematics, Vol. 44 (1973), pp. 117-137.

T. V. LAKSHMINARASIMHAN : A Tauherian theorem for the type of an entire Function, J. Ind. Math. Soc. XVII, (1953), 55-58.

B. LEPGON : Proceedings of Symposia in Pure Mathematics Volume II, Amer. Math. Soc. (1968), pp. 298-307.

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S. M.Shah: On entire functions of bounded index whose derivatives are of unbounded index, J. London Math. Soc, (2) 4 (1971), 127-139.