DLMF:27.14.E4 (Q8103): Difference between revisions

From DRMF

Jump to navigation Jump to search

← Older edit

Revision as of 14:30, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:30, 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
			Q12237
		Property / Symbols used: Q12237 / rank
			Normal rank
		Property / Symbols used: Q12237 / qualifier
			Defining formula: ${\displaystyle{\displaystyle x}}$ x
		Property / Symbols used: Q12237 / qualifier
			xml-id: C27.S1.XMD6.m1bdec
		Property / Symbols used
			pentagonal numbers (locally)
		Property / Symbols used: pentagonal numbers (locally) / rank
			Normal rank
		Property / Symbols used: pentagonal numbers (locally) / qualifier
			Defining formula: ${\displaystyle{\displaystyle\omega(k)}}$ \omega(k)
		Property / Symbols used: pentagonal numbers (locally) / qualifier
			xml-id: C27.S14.XMD1.m1dec

---

Latest revision as of 14:30, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:27.14.E4	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\mathit{f}\left(x\right)=1-x-x^{2}+x^{5}+x^{7}-x^{12}-x^{15}+\dots=1+\sum_{k=1}^{\infty}(-1)^{k}\left(x^{\omega(k)}+x^{\omega(-k)}\right),}}$

0 references

DLMF id

DLMF:27.14.E4

0 references

constraint

${\displaystyle{\displaystyle|x|<1}}$

0 references

Symbols used

Euler’s reciprocal function

Defining formula

${\displaystyle{\displaystyle\mathit{f}\left(\NVar{x}\right)}}$

xml-id

C27.S14.E2.m2abdec

0 references

Q12238

Defining formula

${\displaystyle{\displaystyle k}}$

xml-id

C27.S1.XMD2.m1dec

0 references

Q12237

Defining formula

${\displaystyle{\displaystyle x}}$

xml-id

C27.S1.XMD6.m1bdec

0 references

pentagonal numbers (locally)

Defining formula

${\displaystyle{\displaystyle\omega(k)}}$

xml-id

C27.S14.XMD1.m1dec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q8103&oldid=47795"