@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\alpha,\beta\in\mathbb{C}\setminus(-\infty,0)}}$ 
\alpha,\beta\in\Complexes\setminus(-\infty,0)
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\alpha,\beta\in\mathbb{C}\setminus(-\infty,0)}}$ 
\alpha,\beta\in\mathbb{C}\setminus(-\infty,0)
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\alpha+\beta>0}}$ 
\alpha+\beta>0
@@ Property / constraint: ${\displaystyle{\displaystyle\alpha+\beta>0}}$ / rank @@
+Normal rank
@@ 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.m2addec
@@ 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
@@ Property / Symbols used @@
+Q10923
@@ Property / Symbols used: Q10923 / rank @@
+Normal rank
@@ Property / Symbols used: Q10923 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathbb{C}}}$ 
\Complexes
@@ Property / Symbols used: Q10923 / qualifier @@
+xml-id: introduction.Sx4.p1.t1.r1.m2adec
@@ Property / Symbols used @@
+Q10784
@@ Property / Symbols used: Q10784 / rank @@
+Normal rank
@@ Property / Symbols used: Q10784 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\in}}$ 
\in
@@ Property / Symbols used: Q10784 / qualifier @@
+xml-id: introduction.Sx4.p1.t1.r10.m2aadec
@@ Property / Symbols used @@
+Q10777
@@ Property / Symbols used: Q10777 / rank @@
+Normal rank
@@ Property / Symbols used: Q10777 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle(\NVar{a},\NVar{b})}}$ 
(\NVar{a},\NVar{b})
@@ Property / Symbols used: Q10777 / qualifier @@
+xml-id: introduction.Sx4.p1.t1.r29.m6adec
@@ Property / Symbols used @@
+Q10785
@@ Property / Symbols used: Q10785 / rank @@
+Normal rank
@@ Property / Symbols used: Q10785 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\setminus}}$ 
\setminus
@@ Property / Symbols used: Q10785 / qualifier @@
+xml-id: introduction.Sx4.p2.t1.r19.m2aadec
@@ Property / Symbols used @@
+Q11809
@@ Property / Symbols used: Q11809 / rank @@
+Normal rank
@@ Property / Symbols used: Q11809 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\alpha^{2}}}$ 
\alpha^{2}
@@ Property / Symbols used: Q11809 / qualifier @@
+xml-id: C19.S1.XMD7.m1adec

DLMF:19.26.E17 (Q6574): Difference between revisions

α , β ∈ ℂ ∖ ( - ∞ , 0 ) 𝛼 𝛽 0 {\displaystyle{\displaystyle\alpha,\beta\in\mathbb{C}\setminus(-\infty,0)}}

α , β ∈ ℂ ∖ ( - ∞ , 0 ) 𝛼 𝛽 ℂ 0 {\displaystyle{\displaystyle\alpha,\beta\in\mathbb{C}\setminus(-\infty,0)}}

α + β > 0 𝛼 𝛽 0 {\displaystyle{\displaystyle\alpha+\beta>0}}

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

π {\displaystyle{\displaystyle\pi}}

ℂ {\displaystyle{\displaystyle\mathbb{C}}}

∈ {\displaystyle{\displaystyle\in}}

( a , b ) 𝑎 𝑏 {\displaystyle{\displaystyle(\NVar{a},\NVar{b})}}

∖ {\displaystyle{\displaystyle\setminus}}

α 2 superscript 𝛼 2 {\displaystyle{\displaystyle\alpha^{2}}}

Latest revision as of 14:13, 2 January 2020

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${\displaystyle{\displaystyle\alpha,\beta\in\mathbb{C}\setminus(-\infty,0)}}$

${\displaystyle{\displaystyle\alpha,\beta\in\mathbb{C}\setminus(-\infty,0)}}$

${\displaystyle{\displaystyle\alpha+\beta>0}}$

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

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

${\displaystyle{\displaystyle\mathbb{C}}}$

${\displaystyle{\displaystyle\in}}$

${\displaystyle{\displaystyle(\NVar{a},\NVar{b})}}$

${\displaystyle{\displaystyle\setminus}}$

${\displaystyle{\displaystyle\alpha^{2}}}$