# AN ANALYTIC PROBLEM WHOSE SOLUTION FOLLOWS FROM A SIMPLE ALGEBRAIC IDENTITY

@article{Baxter1960ANAP, title={AN ANALYTIC PROBLEM WHOSE SOLUTION FOLLOWS FROM A SIMPLE ALGEBRAIC IDENTITY}, author={Glen Earl Baxter}, journal={Pacific Journal of Mathematics}, year={1960}, volume={10}, pages={731-742} }

After integrating both sides of the equation in (1.1) and using the notation of (1.3), we find that (1.4) y = l + Hφy) has the solution (1.5) y = exp (Xφ) = 1 + Xφ + Xφl2l + λ^/3! + • By the method of successive substitutions it is also possible to give a unique solution to (1.4) in the form (1.6) y = 1 + Xφ + X\φφ) + X\φ(φφ)) + Equating coefficients in (1.5) and (1.6) we arrive at the well-known identities in φ + = φ/2l (1.7)

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