DLMF:12.13.E6 (Q4235): Difference between revisions

From DRMF

Jump to navigation Jump to search

Latest revision as of 15:26, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:12.13.E6	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle n!U\left(n+\tfrac{1}{2},z\right)=i^{n}e^{-\frac{1% }{2}z^{2}}\operatorname{erfc}(z/\sqrt{2})U\left(-n-\tfrac{1}{2},iz\right)+\sum% _{m=1}^{\left\lfloor\frac{1}{2}n+\frac{1}{2}\right\rfloor}U\left(2m-n-\tfrac{1% }{2},z\right),}}

0 references

DLMF:12.13.E6

0 references

{\displaystyle{\displaystyle n=0,1,2,\dots.}}

0 references

complementary error function

Defining formula

{\displaystyle{\displaystyle\operatorname{erfc}\NVar{z}}}

C7.S2.E2.m2adec

0 references

base of natural logarithm

Defining formula

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

C4.S2.E11.m2aedec

0 references

Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5abdec

0 references

Defining formula

{\displaystyle{\displaystyle\left\lfloor\NVar{x}\right\rfloor}}

introduction.Sx4.p1.t1.r17.m4adec

0 references

Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2adec

0 references

Defining formula

{\displaystyle{\displaystyle U\left(\NVar{a},\NVar{z}\right)}}

C12.S2.SS1.p1.m1acdec

0 references

Defining formula

{\displaystyle{\displaystyle z}}

C12.S1.XMD3.m1dec

0 references

Defining formula

{\displaystyle{\displaystyle n}}

C12.S1.XMD4.m1dec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q4235&oldid=57799"