Abstract
The graphs of all the functions \(F_{\alpha }\) pass through the points (0, 0) and (1, 0). For \(\alpha <\beta ,\) the graphs of the functions \(F_{\alpha }\) and \(F_{\beta },\) besides these two points, intersect at a single point \(\left( \frac{\beta }{1-\alpha +\beta },\frac{1}{1-\alpha +\beta }\right) \).
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Brayman, V., Kukush, A. (2017). 2010. In: Undergraduate Mathematics Competitions (1995–2016). Problem Books in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-58673-1_38
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DOI: https://doi.org/10.1007/978-3-319-58673-1_38
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Online ISBN: 978-3-319-58673-1
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