DLMF:9.13.E12 (Q2974)

From DRMF

Revision as of 15:00, 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:9.13.E12	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle B_{n}\left(-z\right)=\begin{cases}-(\ifrac{2}{% \sqrt{\pi}})\sin\left(\tfrac{1}{2}p\pi\right)z^{-n/4}\left(\sin\left(\zeta-% \tfrac{1}{4}\pi\right)+e^{\left|\Im\zeta\right|}O\left(\zeta^{-1}\right)\right% ),&\left|\operatorname{ph}z\right|\leq 2p\pi-\delta,n\text{ odd},\\ (\ifrac{1}{\sqrt{\pi}})\sin\left(p\pi\right)z^{-n/4}e^{-\zeta}\left(1+O\left(% \zeta^{-1}\right)\right),&\left|\operatorname{ph}z\right|\leq 3p\pi-\delta,n% \text{ even}.\end{cases}}}

0 references

DLMF:9.13.E12

0 references

order not exceeding

Defining formula

{\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

C2.S1.E3.m2acdec

0 references

Defining formula

{\displaystyle{\displaystyle B_{\NVar{n}}\left(\NVar{z}\right)}}

C9.S13.SS1.p2.m4afdec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aedec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q2974&oldid=53267"