DLMF:19.12.E6 (Q6304): Difference between revisions

Latest revision as of 13:50, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:19.12.E6	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle R_{C}\left(x,y\right)=\frac{\pi}{2\sqrt{y}}-\frac% {\sqrt{x}}{y}\left(1+O\left(\sqrt{\frac{x}{y}}\right)\right),}}

0 references

DLMF id

DLMF:19.12.E6

0 references

constraint

{\displaystyle{\displaystyle x/y\to 0}}

0 references

Symbols used

order not exceeding

Defining formula

{\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

xml-id

C2.S1.E3.m2abdec

0 references

Carlson’s combination of inverse circular and inverse hyperbolic functions

Defining formula

{\displaystyle{\displaystyle R_{C}\left(\NVar{x},\NVar{y}\right)}}

xml-id

C19.S2.E17.m2abdec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

xml-id

C3.S12.E1.m2adec

0 references

@@ Property / constraint @@
+ ${\displaystyle{\displaystyle x/y\to 0}}$ 
x/y\to 0
@@ Property / constraint: ${\displaystyle{\displaystyle x/y\to 0}}$ / rank @@
+Normal rank
@@ Property / Symbols used @@
+order not exceeding
@@ Property / Symbols used: order not exceeding / rank @@
+Normal rank
@@ Property / Symbols used: order not exceeding / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$ 
\bigO@{\NVar{x}}
@@ Property / Symbols used: order not exceeding / qualifier @@
+xml-id: C2.S1.E3.m2abdec
@@ Property / Symbols used @@
+Carlson’s combination of inverse circular and inverse hyperbolic functions
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle R_{C}\left(\NVar{x},\NVar{y}\right)}}$ 
\CarlsonellintRC@{\NVar{x}}{\NVar{y}}
+xml-id: C19.S2.E17.m2abdec
@@ Property / Symbols used @@
+the ratio of the circumference of a circle to its diameter
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle\pi}}$ 
\cpi
+xml-id: C3.S12.E1.m2adec

DLMF:19.12.E6 (Q6304): Difference between revisions

${\displaystyle{\displaystyle x/y\to 0}}$

${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$

${\displaystyle{\displaystyle R_{C}\left(\NVar{x},\NVar{y}\right)}}$

${\displaystyle{\displaystyle\pi}}$

Latest revision as of 13:50, 2 January 2020

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DLMF:19.12.E6 (Q6304): Difference between revisions

x / y → 0 → 𝑥 𝑦 0 {\displaystyle{\displaystyle x/y\to 0}}

O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

R C ⁡ ( x , y ) Carlson-integral-RC 𝑥 𝑦 {\displaystyle{\displaystyle R_{C}\left(\NVar{x},\NVar{y}\right)}}

π {\displaystyle{\displaystyle\pi}}

Latest revision as of 13:50, 2 January 2020

Statements

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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${\displaystyle{\displaystyle x/y\to 0}}$

${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$

${\displaystyle{\displaystyle R_{C}\left(\NVar{x},\NVar{y}\right)}}$

${\displaystyle{\displaystyle\pi}}$