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On polynomial expansions of analytic functions

Published online by Cambridge University Press:  09 April 2009

Fred Gross
Fred Gross
Affiliation:
Department of Mathematics University of Maryland5401 Wilkens Avenue Baltimore, Maryland, U.S.A.21228
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A set of polynomials p0(z), p1(z), … is said to form a basic set if every polynomial can be expressed in one and only one way as a finite linear combination of them.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 10 , Issue 3-4 , November 1969 , pp. 335 - 340
Copyright
Copyright © Australian Mathematical Society 1969

References

[1]Whittaker, J. M., Interpolatory Function Theory (Cambridge Tract in Math. and Math. Phys., 33, Cambridge University Press, 1935).Google Scholar
[2]Sato, D., ‘On the rate of growth of entire functions with integral derivatives at integral points! Dissertation, U.C.L.A., 1961.Google Scholar
[3]Cooke, R. G., Infinite matrices and sequence spaces. (Macmillan, 1950).Google Scholar