DLMF:14.7.E10 (Q4762)

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Language	Label	Description	Also known as
English	DLMF:14.7.E10	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathsf{P}^{m}_{n}\left(x\right)=(-1)^{m+n}\frac{% \left(1-x^{2}\right)^{m/2}}{2^{n}n!}\frac{{\mathrm{d}}^{m+n}}{{\mathrm{d}x}^{m% +n}}\left(1-x^{2}\right)^{n}.}}

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DLMF:14.7.E10

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Ferrers function of the first kind

Defining formula

{\displaystyle{\displaystyle\mathsf{P}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}% \right)}}

C14.S3.E1.m2abdec

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derivative of $$f$$ with respect to $$x$$

Defining formula

{\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}

C1.S4.E4.m2abdec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5abdec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1idec

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Defining formula

{\displaystyle{\displaystyle m}}

C14.S1.XMD5.m1bdec

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Defining formula

{\displaystyle{\displaystyle n}}

C14.S1.XMD6.m1hdec

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Sitelinks

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