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The minimum modulus of gap power series

Published online by Cambridge University Press:  20 January 2009

P. C. Fenton
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Let

be an entire function, where (αn) is a strictly increasing sequence of non-negativeintegers. The maximum modulus, M(r), the minimum modulus, m(r), and the maxi-mum term, μ(r), of f defined by

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 21 , Issue 1 , March 1978 , pp. 49 - 54
Copyright
Copyright © Edinburgh Mathematical Society 1978

References

REFERENCES

(1) Erdōs, P. and Macintyre, A. J., Integral functions with gap power series. Proc. Edinburgh Math. Soc. (2) 10 (1953), 62–70.CrossRefGoogle Scholar
(2) Hayman, W. K., The local growth of power series: a survey of the Wiman-Valiron method by, Canad. Math. Bull. 17 (1974), 317–358.CrossRefGoogle Scholar