Question

Approach on solving limit equation systems and finding some f given assymptotes?

score 1k · Answer 1 · 2026-04-02 02:40:31

1k

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Approach on solving limit equation systems and finding some f given assymptotes?

Published on 02 Apr 2026 - 2:40

score 104 · Answer 2 · 2015-04-18 18:44:02

104

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Find all differentiable functions $f$ such that $f(f(x))=f'(x)$

Published on 18 Apr 2015 - 18:44

score 1.4k · Answer 3 · 2015-04-20 15:19:02

1.4k

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Find the function satisfying the given condition

Published on 20 Apr 2015 - 15:19

score 168 · Answer 4 · 2015-04-20 19:24:50

168

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How to solve a equation with special conditions?

Published on 20 Apr 2015 - 19:24

score 677 · Answer 5 · 2015-04-23 13:59:03

677

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Deterministic condition for the nature of one real root of a cubic equation

Published on 23 Apr 2015 - 13:59

score 33 · Answer 6 · 2015-04-23 17:19:28

33

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shown that f is even

Published on 23 Apr 2015 - 17:19

score 24 · Answer 7 · 2026-03-27 17:06:28

24

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How can one solve this equation in $Z^2$?!

Published on 27 Mar 2026 - 17:06

score 279 · Answer 8 · 2015-04-24 09:52:46

279

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Can we solve recurrence relations indexed by R?

Published on 24 Apr 2015 - 9:52

score 53 · Answer 9 · 2026-03-27 22:59:40

53

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Unique solution of a simple functional equation

Published on 27 Mar 2026 - 22:59

score 120 · Answer 10 · 2015-04-25 10:33:23

120

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Solving the functional equation $f(x^2+f(y))=(f(x))^2+y$

Published on 25 Apr 2015 - 10:33

score 86 · Answer 11 · 2015-04-26 07:30:19

86

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Functions $f: \Bbb Q_{+} \to \Bbb Z$ such that $f(\frac{1}{x}) = f(x)$ and $(x+1)f(x-1)= xf(x)$

Published on 26 Apr 2015 - 7:30

score 70 · Answer 12 · 2015-04-26 12:46:10

70

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Solutions of $f : \Bbb Q^*_+ \to \Bbb Q$ such as $f(\tfrac1x)=f(x)$ and $f(x) = (1+\tfrac1x)f(x-1)$ for all $x$

Published on 26 Apr 2015 - 12:46

score 215 · Answer 13 · 2015-04-27 09:37:41

215

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A function $f$ defined on $\mathbb R^2$ satisfying $f(x+t,y) = f(x,y) + ty$ and $f(x,t+y) = f(x,y) + tx$

Published on 27 Apr 2015 - 9:37

score 437 · Answer 14 · 2015-04-27 12:53:32

437

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$\lambda f(x)+(1-\lambda)f(y)=f(\lambda x+(1-\lambda)y)$ implies $f $ linear?

Published on 27 Apr 2015 - 12:53

score 26k · Answer 15 · 2015-04-27 17:02:32

26k

Views

$f(x)f(1/x)=f(x)+f(1/x)$

Published on 27 Apr 2015 - 17:02

List Question

Approach on solving limit equation systems and finding some f given assymptotes?

Find all differentiable functions $f$ such that $f(f(x))=f'(x)$

Find the function satisfying the given condition

How to solve a equation with special conditions?

Deterministic condition for the nature of one real root of a cubic equation

shown that f is even

How can one solve this equation in $Z^2$?!

Can we solve recurrence relations indexed by R?

Unique solution of a simple functional equation

Solving the functional equation $f(x^2+f(y))=(f(x))^2+y$

Functions $f: \Bbb Q_{+} \to \Bbb Z$ such that $f(\frac{1}{x}) = f(x)$ and $(x+1)f(x-1)= xf(x)$

Solutions of $f : \Bbb Q^*_+ \to \Bbb Q$ such as $f(\tfrac1x)=f(x)$ and $f(x) = (1+\tfrac1x)f(x-1)$ for all $x$

A function $f$ defined on $\mathbb R^2$ satisfying $f(x+t,y) = f(x,y) + ty$ and $f(x,t+y) = f(x,y) + tx$

$\lambda f(x)+(1-\lambda)f(y)=f(\lambda x+(1-\lambda)y)$ implies $f $ linear?

$f(x)f(1/x)=f(x)+f(1/x)$

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