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107.31 Obtaining a more general result from a functional equation by not differentiating

Published online by Cambridge University Press:  11 October 2023

Steven J. Kilner
Department of Mathematics, 1000 East Henrietta Road, Monroe Community College, Rochester, NY, 14623 USA e-mail:
David L. Farnsworth
School of Mathematics and Statistics, 84 Lomb Memorial Drive, Rochester Institute of Technology, Rochester, NY 14623 USA e-mail:


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© The Authors, 2023 Published by Cambridge University Press on behalf of The Mathematical Association

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References, accessed December 4, 2021.Google Scholar
Kilner, S. J. and Farnsworth, D. L., Characterisations of the parabola, Math. Gaz. 103 (November 2019) pp. 416430.CrossRefGoogle Scholar
Olver, F. W. J., Lozier, D. W., Boisvert, R. F., and Clark, C. W., NIST handbook of mathematical functions, Cambridge University Press (2010).Google Scholar
Small, C. G., Functional equations and how to solve them, Springer (2007).CrossRefGoogle Scholar