find-all-functions-such-that-f-x-f-y-x-a-f-y-2-y-b-f-x-2-

Tinku Tara June 26, 2023 Algebra 0 Comments

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Question Number 194057 by Subhi last updated on 26/Jun/23

find all functions such that f(x)f(y) = x^a f((y/2))+y^b f((x/2))

f i n d a l l f u n c t i o n s s u c h t h a t

f (x) f (y) = x^{a} f (\frac{y}{2}) + y^{b} f (\frac{x}{2})

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