DLMF:18.17.E48 (Q5789)

From DRMF

Revision as of 01:20, 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:18.17.E48	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{-\infty}^{\infty}H_{m}\left(y\right)e^{-y^{2% }}H_{n}\left(x-y\right)e^{-(x-y)^{2}}\mathrm{d}y=\pi^{\frac{1}{2}}2^{-\frac{1}% {2}(m+n+1)}H_{m+n}\left(2^{-\frac{1}{2}}x\right)e^{-\frac{1}{2}x^{2}}.}}

0 references

DLMF:18.17.E48

0 references

Defining formula

{\displaystyle{\displaystyle H_{\NVar{n}}\left(\NVar{x}\right)}}

C18.S3.T1.t1.r13.m2addec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2avdec

0 references

Defining formula

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

C1.S4.SS4.m1aaudec

0 references

base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2audec

0 references

Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aasdec

0 references

Defining formula

{\displaystyle{\displaystyle y}}

C18.S1.XMD1.m1addec

0 references

Defining formula

{\displaystyle{\displaystyle m}}

C18.S1.XMD5.m1edec

0 references

Defining formula

{\displaystyle{\displaystyle n}}

C18.S1.XMD6.m1audec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q5789&oldid=30645"