Inequalities satisfied by entire functions and their derivatives
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- by Boo-sang Lee and S. M. Shah PDF
- Trans. Amer. Math. Soc. 149 (1970), 109-117 Request permission
Abstract:
For a class of entire functions with simple and positive zeros, it is shown that the maximum of the moduli of the first two Taylor coefficients at any point z, dominate all the remaining Taylor coefficients, provided $|z|$ is sufficiently large. Further, there is a subclass for which this result holds at every point z.References
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Additional Information
- © Copyright 1970 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 149 (1970), 109-117
- MSC: Primary 30.55
- DOI: https://doi.org/10.1090/S0002-9947-1970-0257355-6
- MathSciNet review: 0257355