DLMF:22.14.E16 (Q7091)

From DRMF

Revision as of 15:26, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Jump to navigation Jump to search

No description defined

Language	Label	Description	Also known as
English	DLMF:22.14.E16	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{0}^{K\left(k\right)}\ln\left(\operatorname{% sn}\left(t,k\right)\right)\mathrm{d}t=-\tfrac{1}{4}{K^{\prime}}\left(k\right)-% \tfrac{1}{2}K\left(k\right)\ln k,}}

0 references

DLMF:22.14.E16

0 references

Jacobian elliptic function

Defining formula

{\displaystyle{\displaystyle\operatorname{sn}\left(\NVar{z},\NVar{k}\right)}}

C22.S2.E4.m2aedec

0 references

Defining formula

{\displaystyle{\displaystyle{K^{\prime}}\left(\NVar{k}\right)}}

C19.S2.E9.m1adec

0 references

Defining formula

{\displaystyle{\displaystyle K\left(\NVar{k}\right)}}

C19.S2.E8.m1adec

0 references

Defining formula

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

C1.S4.SS4.m1aodec

0 references

Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aodec

0 references

principal branch of logarithm function

Defining formula

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

C4.S2.E2.m2ajdec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q7091&oldid=57716"