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Proceedings of the American Mathematical Society

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A new expression for umbral operators and power series inversion


Authors: A. M. Garsia and S. A. Joni
Journal: Proc. Amer. Math. Soc. 64 (1977), 179-185
MSC: Primary 05A10; Secondary 40A99
DOI: https://doi.org/10.1090/S0002-9939-1977-0444487-4
MathSciNet review: 0444487
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Abstract: It is shown here the compositional inversion of formal power series has a natural formulation in terms of umbral operators. This fact is used to derive a new proof of the Lagrange inversion theorem by operator theoretic methods.


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DOI: https://doi.org/10.1090/S0002-9939-1977-0444487-4
Article copyright: © Copyright 1977 American Mathematical Society