Difference between revisions of "DLMF:5.7.E8 (Q2084)"

From DRMF

Jump to navigation Jump to search

Revision as of 11:11, 29 December 2019 Admin (talk | contribs) (‎Created a new Item: Wikidata Toolkit example test item creation)		Latest revision as of 17:34, 1 January 2020 Admin (talk | contribs) (‎Changed an Item: Add constraint)
(4 intermediate revisions by the same user not shown)
		Property / Symbols used
		+	psi (or digamma) function
		Property / Symbols used: psi (or digamma) function / rank
		+	Normal rank
		Property / Symbols used: psi (or digamma) function / qualifier
		+	Defining formula: ${\displaystyle{\displaystyle\psi\left(\NVar{z}\right)}}$ \digamma@{\NVar{z}}
		Property / Symbols used: psi (or digamma) function / qualifier
		+	xml-id: C5.S2.E2.m2addec
		Property / Symbols used
		+	Q10901
		Property / Symbols used: Q10901 / rank
		+	Normal rank
		Property / Symbols used: Q10901 / qualifier
		+	Defining formula: ${\displaystyle{\displaystyle\Im}}$ \imagpart@@
		Property / Symbols used: Q10901 / qualifier
		+	xml-id: C1.S9.E2.m2adec
		Property / Symbols used
		+	imaginary unit
		Property / Symbols used: imaginary unit / rank
		+	Normal rank
		Property / Symbols used: imaginary unit / qualifier
		+	Defining formula: ${\displaystyle{\displaystyle\mathrm{i}}}$ \iunit
		Property / Symbols used: imaginary unit / qualifier
		+	xml-id: C1.S9.E1.m2adec
		Property / Symbols used
		+	Q11279
		Property / Symbols used: Q11279 / rank
		+	Normal rank
		Property / Symbols used: Q11279 / qualifier
		+	Defining formula: ${\displaystyle{\displaystyle k}}$ k
		Property / Symbols used: Q11279 / qualifier
		+	xml-id: C5.S1.XMD4.m1gdec
		Property / Symbols used
		+	Q11278
		Property / Symbols used: Q11278 / rank
		+	Normal rank
		Property / Symbols used: Q11278 / qualifier
		+	Defining formula: ${\displaystyle{\displaystyle y}}$ y
		Property / Symbols used: Q11278 / qualifier
		+	xml-id: C5.S1.XMD6.m1dec

---

Latest revision as of 17:34, 1 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:5.7.E8	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\Im\psi\left(1+\mathrm{i}y\right)=\sum_{k=1}^{\infty}\frac{y}{k^{2}+y^{2}}.}}$

0 references

DLMF id

DLMF:5.7.E8

0 references

Symbols used

psi (or digamma) function

Defining formula

${\displaystyle{\displaystyle\psi\left(\NVar{z}\right)}}$

xml-id

C5.S2.E2.m2addec

0 references

Q10901

Defining formula

${\displaystyle{\displaystyle\Im}}$

xml-id

C1.S9.E2.m2adec

0 references

imaginary unit

Defining formula

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

xml-id

C1.S9.E1.m2adec

0 references

Q11279

Defining formula

${\displaystyle{\displaystyle k}}$

xml-id

C5.S1.XMD4.m1gdec

0 references

Q11278

Defining formula

${\displaystyle{\displaystyle y}}$

xml-id

C5.S1.XMD6.m1dec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q2084&oldid=28664"