DLMF:19.9.E15 (Q6258): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:19.9.E15	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle 1<F\left(\phi,k\right)\bigg{/}\left((\sin\phi)\ln% \left(\frac{4}{\Delta+\cos\phi}\right)\right)<\frac{4}{2+(1+k^{2}){\sin^{2}}% \phi}.}}

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DLMF:19.9.E15

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cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2aadec

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Legendre’s incomplete elliptic integral of the first kind

Defining formula

{\displaystyle{\displaystyle F\left(\NVar{\phi},\NVar{k}\right)}}

C19.S2.E4.m2abdec

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principal branch of logarithm function

Defining formula

{\displaystyle{\displaystyle\ln\NVar{z}}}

C4.S2.E2.m2addec

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Defining formula

{\displaystyle{\displaystyle\sin\NVar{z}}}

C4.S14.E1.m2abdec

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Defining formula

{\displaystyle{\displaystyle\phi}}

C19.S1.XMD4.m1ddec

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Defining formula

{\displaystyle{\displaystyle k}}

C19.S1.XMD5.m1mdec

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Defining formula

{\displaystyle{\displaystyle\Delta}}

C19.S9.XMD2.m1ddec

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Sitelinks

Wikipedia(0 entries)

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