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An entire solution of the functional equation f(λ)+f(ω λ)f(ω−1λ)=1, (ω5=1)

Part of the Lecture Notes in Mathematics book series (LNM,volume 312)

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  • Ordinary Differential Equation
  • Entire Function
  • National Bureau
  • Asymptotic Property
  • Entire Solution

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References

  1. M. Abramowitz and L. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, U.S. Department of Commerce, National Bureau of Standards, Applied Mathematics Series, 55, 1964

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  2. P. F. Hsieh and Y. Sibuya, "On the asymptotic integration of second order linear ordinary differential equations with polynomial coefficients", J. of Math. Anal. and Appl., 16(1966) 84–103

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  3. Y. Sibuya, "Stokes multipliers of subdominant solutions of the differential equation y″ − (x3 + λ) y=0," Proc. Amer. Math. Soc., 18(1967) 238–243.

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© 1973 Springer-Verlag

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Sibuya, Y., Cameron, R.H. (1973). An entire solution of the functional equation f(λ)+f(ω λ)f(ω−1λ)=1, (ω5=1). In: Harris, W.A., Sibuya, Y. (eds) Symposium on Ordinary Differential Equations. Lecture Notes in Mathematics, vol 312. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060056

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  • DOI: https://doi.org/10.1007/BFb0060056

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06146-5

  • Online ISBN: 978-3-540-38353-6

  • eBook Packages: Springer Book Archive