Legendre and Related Functions - 14.14 Continued Fractions

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14.14#Ex1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x_{k} = \tfrac{1}{4}(\nu-\mu-k+1)(\nu+\mu+k)\left(x^{2}-1\right)}
x_{k} = \tfrac{1}{4}(\nu-\mu-k+1)(\nu+\mu+k)\left(x^{2}-1\right)
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
x[k] = (1)/(4)*(nu - mu - k + 1)*(nu + mu + k)*((x)^(2)- 1)
Subscript[x, k] == Divide[1,4]*(\[Nu]- \[Mu]- k + 1)*(\[Nu]+ \[Mu]+ k)*((x)^(2)- 1)
Skipped - no semantic math Skipped - no semantic math - -
14.14#Ex2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle y_{k} = (\mu+k)x}
y_{k} = (\mu+k)x
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
y[k] = (mu + k)*x
Subscript[y, k] == (\[Mu]+ k)*x
Skipped - no semantic math Skipped - no semantic math - -
14.14#Ex3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x_{k} = (\nu+\mu+k)(\nu-\mu+k)}
x_{k} = (\nu+\mu+k)(\nu-\mu+k)
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
x[k] = (nu + mu + k)*(nu - mu + k)
Subscript[x, k] == (\[Nu]+ \[Mu]+ k)*(\[Nu]- \[Mu]+ k)
Skipped - no semantic math Skipped - no semantic math - -
14.14#Ex4 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle y_{k} = (2\nu+2k+1)x}
y_{k} = (2\nu+2k+1)x
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
y[k] = (2*nu + 2*k + 1)*x
Subscript[y, k] == (2*\[Nu]+ 2*k + 1)*x
Skipped - no semantic math Skipped - no semantic math - -