Two transformations of series that commute with compositional inversion |
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Authors: | Robert Donaghey |
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Institution: | Department of Mathematics, Baruch College, CUNY, New York, New York 10010 USA |
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Abstract: | It is shown that the compositional inverse of either of two transformations of a given series can be determined from the compositional inverse of the series. Specifically, if t · f(t) and t · g(t) are compositional inverses, then so are t · fk(t) and , where fk(t) is the kth Euler transformation of f(t) and . |
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