DLMF:20.4.E8 (Q6763): Difference between revisions

Latest revision as of 14:31, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:20.4.E8	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{\theta_{1}'''\left(0,q\right)}{\theta_{1}'% \left(0,q\right)}=-1+24\sum_{n=1}^{\infty}\frac{q^{2n}}{(1-q^{2n})^{2}}.}}

0 references

DLMF id

DLMF:20.4.E8

0 references

Symbols used

Q11945

Defining formula

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

xml-id

C20.S2.SS1.m2agdec

0 references

Q11947

Defining formula

{\displaystyle{\displaystyle n}}

xml-id

C20.S1.XMD2.m1ddec

0 references

Q11950

Defining formula

{\displaystyle{\displaystyle q}}

xml-id

C20.S1.XMD5.m1gdec

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.m2agdec
@@ 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.m1ddec
@@ 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.m1gdec

DLMF:20.4.E8 (Q6763): 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

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DLMF:20.4.E8 (Q6763): 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

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

${\displaystyle{\displaystyle n}}$

${\displaystyle{\displaystyle q}}$