DLMF:10.49.E8 (Q3702): Difference between revisions

From DRMF

Jump to navigation Jump to search

← Older edit

Revision as of 14:11, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:11, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
(One intermediate revision by the same user not shown)
		Property / Symbols used
			Q11426
		Property / Symbols used: Q11426 / rank
			Normal rank
		Property / Symbols used: Q11426 / qualifier
			Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q11426 / qualifier
			xml-id: C10.S1.XMD6.m1fdec
		Property / Symbols used
			expansion (locally)
		Property / Symbols used: expansion (locally) / rank
			Normal rank
		Property / Symbols used: expansion (locally) / qualifier
			Defining formula: ${\displaystyle{\displaystyle a_{k}(\nu)}}$ a_{k}(\nu)
		Property / Symbols used: expansion (locally) / qualifier
			xml-id: C10.S17.XMD1.m1edec

---

Latest revision as of 14:11, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:10.49.E8	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle{\mathsf{i}^{(1)}_{n}}\left(z\right)=\tfrac{1}{2}e^{z}\sum_{k=0}^{n}(-1)^{k}\frac{a_{k}(n+\frac{1}{2})}{z^{k+1}}+(-1)^{n+1}\*\tfrac{1}{2}e^{-z}\sum_{k=0}^{n}\frac{a_{k}(n+\frac{1}{2})}{z^{k+1}}.}}$

0 references

DLMF id

DLMF:10.49.E8

0 references

Symbols used

base of natural logarithm

Defining formula

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

xml-id

C4.S2.E11.m2abdec

0 references

modified spherical Bessel function

Defining formula

${\displaystyle{\displaystyle{\mathsf{i}^{(1)}_{\NVar{n}}}\left(\NVar{z}\right)}}$

xml-id

C10.S47.E7.m2adec

0 references

Q11429

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C10.S1.XMD2.m1edec

0 references

Q11428

Defining formula

${\displaystyle{\displaystyle k}}$

xml-id

C10.S1.XMD3.m1edec

0 references

Q11426

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C10.S1.XMD6.m1fdec

0 references

expansion (locally)

Defining formula

${\displaystyle{\displaystyle a_{k}(\nu)}}$

xml-id

C10.S17.XMD1.m1edec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q3702&oldid=44397"