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Display information for equation id:math.249810.6 on revision:249810

* Page found: Chebyshev rational functions (eq math.249810.6)

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TeX (original user input):

\int_{0}^\infty R_m(x)\,R_n(x)\,\omega(x)\,dx=\frac{\pi c_n}{2}\delta_{nm}

TeX (checked):

\int _{0}^{\infty }R_{m}(x)\,R_{n}(x)\,\omega (x)\,dx={\frac {\pi c_{n}}{2}}\delta _{nm}

LaTeXML (experimental; uses MathML) rendering

MathML (8.494 KB / 1.397 KB) :

0 R m ( x ) R n ( x ) ω ( x ) 𝑑 x = π c n 2 δ n m superscript subscript 0 subscript 𝑅 𝑚 𝑥 subscript 𝑅 𝑛 𝑥 𝜔 𝑥 differential-d 𝑥 𝜋 subscript 𝑐 𝑛 2 subscript 𝛿 𝑛 𝑚 {\displaystyle\int_{{0}}^{\infty}R_{m}(x)\,R_{n}(x)\,\omega(x)\,dx={\frac{\pi c% _{n}}{2}}\delta_{{nm}}}
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SVG (14.326 KB / 4.963 KB) :

integral Subscript 0 Superscript normal infinity Baseline upper R Subscript m Baseline times left-parenthesis x right-parenthesis times upper R Subscript n Baseline times left-parenthesis x right-parenthesis times omega times left-parenthesis x right-parenthesis times italic d x equals StartFraction pi times c Subscript n Baseline Over 2 EndFraction times delta Subscript n times m

SVG (MathML can be enabled via browser plugin) rendering

MathML (2.026 KB / 552 B) :

0 R m ( x ) R n ( x ) ω ( x ) d x = π c n 2 δ n m {\displaystyle \int _{0}^{\infty }R_{m}(x)\,R_{n}(x)\,\omega (x)\,dx={\frac {\pi c_{n}}{2}}\delta _{nm}}
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SVG (10.984 KB / 4.556 KB) :

{\displaystyle \int _{0}^{\infty }R_{m}(x)\,R_{n}(x)\,\omega (x)\,dx={\frac {\pi c_{n}}{2}}\delta _{nm}}

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