Formula_5372

\[\begin{gathered}P_{0}(x)=1, P_{1}(x)=x, P_{2}(x)=\left(3 x^{2}-1\right) / 2, \\P_{3}(x)=\left(5 x^{3}-3 x\right) / 2, P_{4}(x)=\left(35 x^{4}-30 x^{2}+3\right) / 8, \\P_{5}(x)=\left(63 x^{5}-70 x^{3}+15 x\right) / 8, . \\P_{6}(x)=\left(231 x^{6}-315 x^{4}+105 x^{2}-5\right) / 16 .\end{gathered}\]