DLMF:28.20.E12 (Q8344)

From DRMF

Revision as of 15:01, 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:28.20.E12	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{\mathrm{M}^{(2)}_{\nu}}\left(z,h\right)=Y_{\nu}% \left(2h\cosh z\right)+e^{|\Im(2h\cosh z)|}O\left((\operatorname{sech}z)^{3/2}% \right),}}

0 references

DLMF:28.20.E12

0 references

Bessel function of the second kind

Defining formula

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

C10.S2.E3.m2adec

0 references

order not exceeding

Defining formula

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

C2.S1.E3.m2acdec

0 references

base of natural logarithm

Defining formula

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

C4.S2.E11.m2aadec

0 references

hyperbolic cosine function

Defining formula

{\displaystyle{\displaystyle\cosh\NVar{z}}}

C4.S28.E2.m2aedec

0 references

hyperbolic secant function

Defining formula

{\displaystyle{\displaystyle\operatorname{sech}\NVar{z}}}

C4.S28.E6.m2acdec

0 references

Defining formula

{\displaystyle{\displaystyle\Im}}

C1.S9.E2.m2aadec

0 references

Defining formula

{\displaystyle{\displaystyle{\mathrm{M}^{(\NVar{j})}_{\NVar{\nu}}}\left(\NVar{% z},\NVar{h}\right)}}

C28.S20.SS3.p1.m4acdec

0 references

Defining formula

{\displaystyle{\displaystyle h}}

C28.S1.XMD11.m1ddec

0 references

Defining formula

{\displaystyle{\displaystyle z}}

C28.S1.XMD6.m1jdec

0 references

Defining formula

{\displaystyle{\displaystyle\nu}}

C28.S1.XMD7.m1fdec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q8344&oldid=53471"