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}
}
  • G. Baxter
  • Published 1 September 1960
  • Mathematics
  • Pacific Journal of Mathematics
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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