A Type Theorem for ∫z (t)/t dt and Applications to Entire Functions

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Authors

  • Andhra University, Waltair ,IN

DOI:

https://doi.org/10.18311/jims/1966/16804

Abstract

Let P(z) = Σ akzk be an entire series. Let M (r), n{r), v(r), and μ(r) stand, as usual [1] for the 'Maximum modulus' etc. of P and let I(r) be the 'logarithmic mean of P' viz. (l/2π) ∫ log|P(r etθ)| dθ.

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Published

1966-06-01

How to Cite

Gopala Krishna, J. (1966). A Type Theorem for &#8747;<sup>z</sup> (t)/t dt and Applications to Entire Functions. The Journal of the Indian Mathematical Society, 30(2), 73–78. https://doi.org/10.18311/jims/1966/16804