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On Two Functional Equations Related to A Result of Grégoire De Saint Vincent

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Abstract

We give two characterizations of the exponential function by solving two functional equations related to some classical considerations made by Grégoire de Saint-Vincent in the 17th century.

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References

  1. Aczél, J., Lectures on Functional Equations and Their Applications, Academic Press, New York-London, 1966.

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  2. Aczel, J. and Dhombres, J., Functional Equations in Several Variables. Cambridge University Press, Cambridge, 1989.

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  3. De Saint-Vincent, G., Opus geometricum quadratural circuli et sectionum coni. Problema Austriacum. Plus ultra quadratura circuli. Antwerpen, 1647.

  4. De Sarasa, A., Solutio problematis a R.P. Marino Merserno minimo propositi. Antwerper, 1649.

  5. Eves, H., An Introduction to the History of Mathematics, Holt, Rinehart and Winston, New York, 1976.

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Dedicated to Prof. J. Aczél on the occasion of his 70th birthday.

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Alsina, C., Garcia-Roig, J.L. On Two Functional Equations Related to A Result of Grégoire De Saint Vincent. Results. Math. 28, 33–39 (1995). https://doi.org/10.1007/BF03322237

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  • DOI: https://doi.org/10.1007/BF03322237

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