List questions from functional-equations

Published on 15 May 2017 - 4:18

159

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Solve for all possible functions f: $|f(x)-f(y)|=2|x-y|$.

Published on 16 May 2017 - 1:01

57

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Solving a functional equation over the real number line

Published on 16 May 2017 - 11:49

67

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Functional equation $f(xy) = f'(x)f(y)$, am I doing it right?

Published on 16 May 2017 - 12:45

129

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Selberg type functional equation for Dirichlet eta function

Published on 07 Apr 2026 - 14:35

179

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Functional equation $f(x) = f(3x) + \tanh(x)$

Published on 19 May 2017 - 22:22

227

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Find the function $f$ such that $f(x)=\frac{f(2x)}{x+1}$.

Published on 20 May 2017 - 20:52

42

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Proving a function one to one function from the given function

Published on 21 May 2017 - 11:36

97

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Real Curve for Complex Function

Published on 06 Apr 2026 - 14:31

472

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Functional Equation with Inverse

Published on 21 May 2017 - 18:10

39

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How is such a (delay?) equation called?

Published on 23 May 2017 - 20:01

111

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Define$ f(x)$: $f(x)+f(\frac{1-x}{x} )=x$

Published on 24 May 2017 - 12:17

192

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Solving the functional equation $\tau \left(\frac{-1}{z}\right) = - \tau(z)$

Published on 25 Mar 2026 - 14:27

534

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Cyclic functions of nth order

Published on 25 May 2017 - 11:47

196

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$f(x^2)=(f(x))^2=f(f(x))$, $\forall x\in\mathbb R$.

Published on 27 May 2017 - 15:45

List Question

Deducing a function and it's derivative from functional equation.

Solve for all possible functions f: $|f(x)-f(y)|=2|x-y|$.

Solving a functional equation over the real number line

Functional equation $f(xy) = f'(x)f(y)$, am I doing it right?

Selberg type functional equation for Dirichlet eta function

Functional equation $f(x) = f(3x) + \tanh(x)$

Find the function $f$ such that $f(x)=\frac{f(2x)}{x+1}$.

Proving a function one to one function from the given function

Real Curve for Complex Function

Functional Equation with Inverse

How is such a (delay?) equation called?

Define$ f(x)$: $f(x)+f(\frac{1-x}{x} )=x$

Solving the functional equation $\tau \left(\frac{-1}{z}\right) = - \tau(z)$

Cyclic functions of nth order

$f(x^2)=(f(x))^2=f(f(x))$, $\forall x\in\mathbb R$.

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