DLMF:20.4.E10 (Q6765): Difference between revisions

Latest revision as of 14:31, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:20.4.E10	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{\theta_{3}''\left(0,q\right)}{\theta_{3}% \left(0,q\right)}=-8\sum_{n=1}^{\infty}\frac{q^{2n-1}}{(1+q^{2n-1})^{2}},}}

0 references

DLMF id

DLMF:20.4.E10

0 references

Symbols used

Q11945

Defining formula

{\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z},\NVar{q}\right)}}

xml-id

C20.S2.SS1.m2aidec

0 references

Q11947

Defining formula

{\displaystyle{\displaystyle n}}

xml-id

C20.S1.XMD2.m1fdec

0 references

Q11950

Defining formula

{\displaystyle{\displaystyle q}}

xml-id

C20.S1.XMD5.m1idec

0 references

@@ Property / Symbols used @@
+Q11945
@@ Property / Symbols used: Q11945 / rank @@
+Normal rank
@@ Property / Symbols used: Q11945 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z},\NVar{q}\right)}}$ 
\Jacobithetaq{\NVar{j}}@{\NVar{z}}{\NVar{q}}
@@ Property / Symbols used: Q11945 / qualifier @@
+xml-id: C20.S2.SS1.m2aidec
@@ Property / Symbols used @@
+Q11947
@@ Property / Symbols used: Q11947 / rank @@
+Normal rank
@@ Property / Symbols used: Q11947 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle n}}$ 
n
@@ Property / Symbols used: Q11947 / qualifier @@
+xml-id: C20.S1.XMD2.m1fdec
@@ Property / Symbols used @@
+Q11950
@@ Property / Symbols used: Q11950 / rank @@
+Normal rank
@@ Property / Symbols used: Q11950 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle q}}$ 
q
@@ Property / Symbols used: Q11950 / qualifier @@
+xml-id: C20.S1.XMD5.m1idec

DLMF:20.4.E10 (Q6765): Difference between revisions

${\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z},\NVar{q}\right)}}$

${\displaystyle{\displaystyle n}}$

${\displaystyle{\displaystyle q}}$

Latest revision as of 14:31, 2 January 2020

Statements

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Navigation menu

DLMF:20.4.E10 (Q6765): Difference between revisions

θ j ⁡ ( z , q ) Jacobi-theta 𝑗 𝑧 𝑞 {\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z},\NVar{q}\right)}}

n 𝑛 {\displaystyle{\displaystyle n}}

q 𝑞 {\displaystyle{\displaystyle q}}

Latest revision as of 14:31, 2 January 2020

Statements

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Navigation menu

Search

${\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z},\NVar{q}\right)}}$

${\displaystyle{\displaystyle n}}$

${\displaystyle{\displaystyle q}}$