@@ 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.m2akdec
@@ 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.m2adec
@@ Property / Symbols used @@
+symmetric elliptic integral of third kind
@@ Property / Symbols used: symmetric elliptic integral of third kind / rank @@
+Normal rank
@@ Property / Symbols used: symmetric elliptic integral of third kind / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle R_{J}\left(\NVar{x},\NVar{y},\NVar{z},\NVar{p}% \right)}}$ 
\CarlsonsymellintRJ@{\NVar{x}}{\NVar{y}}{\NVar{z}}{\NVar{p}}
@@ Property / Symbols used: symmetric elliptic integral of third kind / qualifier @@
+xml-id: C19.S16.E2.m2abdec
@@ Property / Symbols used @@
+principal branch of logarithm function
@@ Property / Symbols used: principal branch of logarithm function / rank @@
+Normal rank
@@ Property / Symbols used: principal branch of logarithm function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\ln\NVar{z}}}$ 
\ln@@{\NVar{z}}
@@ Property / Symbols used: principal branch of logarithm function / qualifier @@
+xml-id: C4.S2.E2.m2afdec
@@ Property / Symbols used @@
+Q11888
@@ Property / Symbols used: Q11888 / rank @@
+Normal rank
@@ Property / Symbols used: Q11888 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle a}}$ 
a
@@ Property / Symbols used: Q11888 / qualifier @@
+xml-id: C19.S27.XMD1.m1ddec
@@ Property / Symbols used @@
+Q11889
@@ Property / Symbols used: Q11889 / rank @@
+Normal rank
@@ Property / Symbols used: Q11889 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle g}}$ 
g
@@ Property / Symbols used: Q11889 / qualifier @@
+xml-id: C19.S27.XMD5.m1ddec

DLMF:19.27.E13 (Q6605): Difference between revisions

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)}}

R J ⁡ ( x , y , z , p ) Carlson-integral-RJ 𝑥 𝑦 𝑧 𝑝 {\displaystyle{\displaystyle R_{J}\left(\NVar{x},\NVar{y},\NVar{z},\NVar{p}% \right)}}

ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}

a 𝑎 {\displaystyle{\displaystyle a}}

g 𝑔 {\displaystyle{\displaystyle g}}

Latest revision as of 14:16, 2 January 2020

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

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

${\displaystyle{\displaystyle R_{J}\left(\NVar{x},\NVar{y},\NVar{z},\NVar{p}% \right)}}$

${\displaystyle{\displaystyle\ln\NVar{z}}}$

${\displaystyle{\displaystyle a}}$

${\displaystyle{\displaystyle g}}$