Uniform convergence of reciprocal polynomials
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Let $(P_n)_n$ be a sequence of self-reciprocal (named also palyndromic) polynomials that converges uniformly on $[a,b]$ with $a,b$ two reals. Can anything of speacial be told about the limit (more than the limit is continuous ...)?
Thanks in advance.
real-analysis analysis
asked yesterday
joaopa
34418
add a comment |
Let $(P_n)_n$ be a sequence of self-reciprocal (named also palyndromic) polynomials that converges uniformly on $[a,b]$ with $a,b$ two reals. Can anything of speacial be told about the limit (more than the limit is continuous ...)?
Thanks in advance.
real-analysis analysis
asked yesterday
joaopa
34418
What do you mean by "reciprocal polynomials?" Rational functions?
– Math1000
yesterday
Edited to avoid confusion
– joaopa
yesterday
Is $P_n$ of degree $n$?
– marty cohen
yesterday
A polynomial is reciprocal if $x^nP(1/x) = P(x)$ where $n$ is the degree of $P$. Examples: $x^2-x+1, 3x^3-2x^2-2x+3$.
– marty cohen
yesterday
add a comment |
Let $(P_n)_n$ be a sequence of self-reciprocal (named also palyndromic) polynomials that converges uniformly on $[a,b]$ with $a,b$ two reals. Can anything of speacial be told about the limit (more than the limit is continuous ...)?
Thanks in advance.
real-analysis analysis
asked yesterday
joaopa
34418
Let $(P_n)_n$ be a sequence of self-reciprocal (named also palyndromic) polynomials that converges uniformly on $[a,b]$ with $a,b$ two reals. Can anything of speacial be told about the limit (more than the limit is continuous ...)?
Thanks in advance.
real-analysis analysis
real-analysis analysis
asked yesterday
joaopa
34418
asked yesterday
joaopa
34418
edited yesterday
asked yesterday
joaopa
34418
asked yesterday
joaopa
34418
asked yesterday
joaopa
34418
34418
What do you mean by "reciprocal polynomials?" Rational functions?
– Math1000
yesterday
Edited to avoid confusion
– joaopa
yesterday
Is $P_n$ of degree $n$?
– marty cohen
yesterday
A polynomial is reciprocal if $x^nP(1/x) = P(x)$ where $n$ is the degree of $P$. Examples: $x^2-x+1, 3x^3-2x^2-2x+3$.
– marty cohen
yesterday
add a comment |
What do you mean by "reciprocal polynomials?" Rational functions?
– Math1000
yesterday
Edited to avoid confusion
– joaopa
yesterday
Is $P_n$ of degree $n$?
– marty cohen
yesterday
A polynomial is reciprocal if $x^nP(1/x) = P(x)$ where $n$ is the degree of $P$. Examples: $x^2-x+1, 3x^3-2x^2-2x+3$.
– marty cohen
yesterday
What do you mean by "reciprocal polynomials?" Rational functions?
– Math1000
yesterday
What do you mean by "reciprocal polynomials?" Rational functions?
– Math1000
yesterday
Edited to avoid confusion
– joaopa
yesterday
Edited to avoid confusion
– joaopa
yesterday
Is $P_n$ of degree $n$?
– marty cohen
yesterday
Is $P_n$ of degree $n$?
– marty cohen
yesterday
A polynomial is reciprocal if $x^nP(1/x) = P(x)$ where $n$ is the degree of $P$. Examples: $x^2-x+1, 3x^3-2x^2-2x+3$.
– marty cohen
yesterday
A polynomial is reciprocal if $x^nP(1/x) = P(x)$ where $n$ is the degree of $P$. Examples: $x^2-x+1, 3x^3-2x^2-2x+3$.
– marty cohen
yesterday
add a comment |
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What do you mean by "reciprocal polynomials?" Rational functions?
– Math1000
yesterday
Edited to avoid confusion
– joaopa
yesterday
Is $P_n$ of degree $n$?
– marty cohen
yesterday
A polynomial is reciprocal if $x^nP(1/x) = P(x)$ where $n$ is the degree of $P$. Examples: $x^2-x+1, 3x^3-2x^2-2x+3$.
– marty cohen
yesterday