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Polynomial expansions in the Borel region

Published online by Cambridge University Press:  20 January 2009

J. T. Hurt  and
L. R. Ford
J. T. Hurt
Affiliation:
Rice Institute, Houston, Texas.
L. R. Ford
Affiliation:
Rice Institute, Houston, Texas.
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This paper deals with certain expansions of analytic functions in series of polynomials. Explicit forms for the polynomials are given in terms of the coefficients of the Taylor's expansion and of prescribed positive constants hk. Under suitable conditions, to be presently discussed, the series converge to the function in the Borel region.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 5 , Issue 2 , June 1937 , pp. 82 - 89
Copyright
Copyright © Edinburgh Mathematical Society 1937