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Functional Equation Thing Part B by anshveerbindra130109 is a document available to read on EtoBox.

What is Functional Equation Thing Part B about?

This document presents a complete classification of functions f: R → R that satisfy the two-variable cyclic functional equation f(f(x)) + f(y) + kxy = xf(y) + yf(x) for all x, y ∈ R. The only solutions are the zero function for any k, and the affine function f(x) = -1/2 x + 1/4 when k = 2. The document also concludes that there are no polynomial solutions of degree greater than or equal to 2.

Author

anshveerbindra130109

Language

EN