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dc.creatorHurt, John Tom
dc.date.accessioned 2018-12-18T21:27:03Z
dc.date.available 2018-12-18T21:27:03Z
dc.date.issued 1932
dc.identifier.urihttps://hdl.handle.net/1911/104626
dc.description Text includes handwritten formulas
dc.description.abstract This paper deals with the expansion of analytic functions into a series of polynomials. An explicit form for the polynomials is obtained in terms of the coefficients of a Taylor's expansion and of certain positive constants hk. Conditions on the constants hk are developed under which the series of polynomials will converge. In particular, conditions are imposed upon the such that a region can be found within which the series will converge to the function. This region is in general larger than the circle of convergence of the Taylor's series.
dc.format.extent 19 pp
dc.language.iso eng
dc.title Polynomial expansions in the Borel region
dc.identifier.digital RICE2261
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Mathematical Sciences
thesis.degree.discipline Engineering
thesis.degree.grantor Rice University
thesis.degree.level Masters
thesis.degree.name Master of Arts
dc.format.digitalOrigin reformatted digital
dc.identifier.callno Thesis Math. 1932 Hurt
dc.identifier.citation Hurt, John Tom. "Polynomial expansions in the Borel region." (1932) Master’s Thesis, Rice University. https://hdl.handle.net/1911/104626.


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