Question

How to solve interdependent functional equations with $\max$ constraint

score 79 · Answer 1 · 2023-03-28 16:33:22

79

Views

How to solve interdependent functional equations with $\max$ constraint

Published on 28 Mar 2023 - 16:33

score 139 · Answer 2 · 2026-03-28 06:00:02

139

Views

Expanding Arcus Tangens as Taylor Series around 1: Symmetries

Published on 28 Mar 2026 - 6:00

score 58 · Answer 3 · 2023-03-29 21:19:21

58

Views

Non-trivial examples of $n$-th iterative root of $h(x) = x$, i.e. solution of functional equation $f^{[n]}(x) = x$

Published on 29 Mar 2023 - 21:19

score 89 · Answer 4 · 2026-03-30 04:55:52

89

Views

Solving the functional equation $f^2(x) = 1 + x^2$ for iterated functions

Published on 30 Mar 2026 - 4:55

score 104 · Answer 5 · 2023-03-30 05:07:58

104

Views

Polynomial functional equations

Published on 30 Mar 2023 - 5:07

score 88 · Answer 6 · 2026-03-27 21:35:32

88

Views

If a trigonometric series equals zero at every point, will its coefficients all be zero?

Published on 27 Mar 2026 - 21:35

score 122 · Answer 7 · 2026-03-26 00:53:38

122

Views

Solve the functional inequality $f(x+1)>(f(x))^2-f(x)+1$

Published on 26 Mar 2026 - 0:53

score 153 · Answer 8 · 2026-03-26 04:14:45

153

Views

Increasing function $f(x,y,y)=f(x,x,y)$ implies $f(x,y,z)=g(x,z)$?

Published on 26 Mar 2026 - 4:14

score 64 · Answer 9 · 2023-04-07 03:42:07

64

Views

Functional Equation from BMT 2020

Published on 07 Apr 2023 - 3:42

score 126 · Answer 10 · 2023-04-09 19:55:41

126

Views

Find all the continuous functions that satisfy if $a$, $b$ and $c$ are nonzero real numbers such that $a+b+c=0$ then $f(a)+f(b)+f(c)=0$.

Published on 09 Apr 2023 - 19:55

score 125 · Answer 11 · 2023-04-10 08:45:24

125

Views

Find all function $f$: $\Bbb R^+ \rightarrow \Bbb R^+$ such that $f\left(\frac{f(x)}{y}\right) = yf(y)*f(f(x))$

Published on 10 Apr 2023 - 8:45

score 30 · Answer 12 · 2023-04-10 09:04:02

30

Views

If the continuous function $f:\mathbb{R} \to \mathbb{R}$ has the following property?

Published on 10 Apr 2023 - 9:04

score 105 · Answer 13 · 2023-04-10 18:50:23

105

Views

Find function $F(s)$ such that $F(s+1) = F(s) - \frac{1}{(s-2)^2}$

Published on 10 Apr 2023 - 18:50

score 203 · Answer 14 · 2023-04-10 22:04:00

203

Views

$\xi(s)=\xi(1-s)$ functional equation from $\Gamma(s)\Gamma(s+1)\zeta(s)=\int_0^\infty t^{s-1}\sum_{\alpha \in \Bbb N} \Phi_{\alpha}(t)~ dt$

Published on 10 Apr 2023 - 22:04

score 60 · Answer 15 · 2023-04-15 11:10:03

Determine all the functions $f:\mathbb R\mapsto\mathbb R$ satisfies the equation $f(a^2 +ab+ f(b^2))=af(b)+b^2+ f(a^2)\,\forall a,b\in\mathbb R $

List Question

How to solve interdependent functional equations with $\max$ constraint

Expanding Arcus Tangens as Taylor Series around 1: Symmetries

Non-trivial examples of $n$-th iterative root of $h(x) = x$, i.e. solution of functional equation $f^{[n]}(x) = x$

Solving the functional equation $f^2(x) = 1 + x^2$ for iterated functions

Polynomial functional equations

If a trigonometric series equals zero at every point, will its coefficients all be zero?

Solve the functional inequality $f(x+1)>(f(x))^2-f(x)+1$

Increasing function $f(x,y,y)=f(x,x,y)$ implies $f(x,y,z)=g(x,z)$?

Functional Equation from BMT 2020

Find all the continuous functions that satisfy if $a$, $b$ and $c$ are nonzero real numbers such that $a+b+c=0$ then $f(a)+f(b)+f(c)=0$.

Find all function $f$: $\Bbb R^+ \rightarrow \Bbb R^+$ such that $f\left(\frac{f(x)}{y}\right) = yf(y)*f(f(x))$

If the continuous function $f:\mathbb{R} \to \mathbb{R}$ has the following property?

Find function $F(s)$ such that $F(s+1) = F(s) - \frac{1}{(s-2)^2}$

$\xi(s)=\xi(1-s)$ functional equation from $\Gamma(s)\Gamma(s+1)\zeta(s)=\int_0^\infty t^{s-1}\sum_{\alpha \in \Bbb N} \Phi_{\alpha}(t)~ dt$

Determine all the functions $f:\mathbb R\mapsto\mathbb R$ satisfies the equation $f(a^2 +ab+ f(b^2))=af(b)+b^2+ f(a^2)\,\forall a,b\in\mathbb R $

Trending Questions

Popular # Hahtags

Popular Questions