dc.creator Hurt, John Tom 2018-12-18T21:27:03Z 2018-12-18T21:27:03Z 1932 https://hdl.handle.net/1911/104626 Text includes handwritten formulas 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. 19 pp eng Polynomial expansions in the Borel region RICE2261 Thesis Text Mathematical Sciences Engineering Rice University Masters Master of Arts reformatted digital Thesis Math. 1932 Hurt 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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