DLMF:13.16.E3 (Q4554): Difference between revisions

From DRMF

Jump to navigation Jump to search

← Older edit Newer edit →

Revision as of 16:10, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:13.16.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{1}{\Gamma\left(1+2\mu\right)}M_{\kappa,\mu}% \left(z\right)=\frac{\sqrt{z}e^{\frac{1}{2}z}}{\Gamma\left(\frac{1}{2}+\mu+% \kappa\right)}\int_{0}^{\infty}e^{-t}t^{\kappa-\frac{1}{2}}J_{2\mu}\left(2% \sqrt{zt}\right)\mathrm{d}t,}}

0 references

DLMF:13.16.E3

0 references

{\displaystyle{\displaystyle\Re(\kappa+\mu)+\tfrac{1}{2}>0}}

0 references

Bessel function of the first kind

Defining formula

{\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}

C10.S2.E2.m2adec

0 references

Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2abdec

0 references

Whittaker confluent hypergeometric function

Defining formula

{\displaystyle{\displaystyle M_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}

C13.S14.E2.m2abdec

0 references

Defining formula

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

C1.S4.SS4.m1abdec

0 references

base of natural logarithm

Defining formula

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

C4.S2.E11.m2abdec

0 references

Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3abdec

0 references

Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1abdec

0 references

Defining formula

{\displaystyle{\displaystyle z}}

C13.S1.XMD6.m1bdec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q4554&oldid=62848"