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Maßraum/L^2-Räume/Identifizierung/Legendre-Polynome/Einführung/Textabschnitt
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666:{\displaystyle P_{5}(x)={\frac {1}{8}}(63x^{5}-70x^{3}+15x)}
567:{\displaystyle P_{4}(x)={\frac {1}{8}}(35x^{4}-30x^{2}+3)}
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471:{\displaystyle P_{3}(x)={\frac {1}{2}}(5x^{3}-3x)}
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388:{\displaystyle P_{2}(x)={\frac {1}{2}}(3x^{2}-1)}
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149:Plot of the first six legendre polynomials.
46:Size of this PNG preview of this SVG file:
871:You may select the license of your choice.
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308:{\displaystyle P_{1}(x)=x\,}
258:{\displaystyle P_{0}(x)=1\,}
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105:
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68:|
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117:.
72:.
