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The Second Mean Values of Entire Functions

Published online by Cambridge University Press:  20 November 2018

Q. I. Rahman
Q. I. Rahman*
Affiliation:
Université de Montréal
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Let f(z) be an entire function of the complex variable z = x + iy defined by the everywhere absolutely convergent Dirichlet series

1.1

If

then log m(x,f) is an increasing convex function of x (2), and

is called the Ritt order of f(z).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 18 , 1966 , pp. 1113 - 1120
Copyright
Copyright © Canadian Mathematical Society 1966

References

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6. Vijayaraghavan, T., On derivatives of integral functions, J. London Math. Soc, 10 (1935), 116–117.Google Scholar