DLMF:18.12.E9 (Q5651): Difference between revisions

@@ Property / constraint @@
+ ${\displaystyle{\displaystyle|z|<1}}$ 
|z|<1
@@ Property / constraint: ${\displaystyle{\displaystyle|z|<1}}$ / rank @@
+Normal rank
@@ Property / Symbols used @@
+Q11207
@@ Property / Symbols used: Q11207 / rank @@
+Normal rank
@@ Property / Symbols used: Q11207 / qualifier @@
+test:  ${\displaystyle{\displaystyle T_{\NVar{n}}\left(\NVar{x}\right)}}$ 
\ChebyshevpolyT{\NVar{n}}@{\NVar{x}}
@@ Property / Symbols used: Q11207 / qualifier @@
+xml-id: C18.S3.T1.t1.r4.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 @@
+test:  ${\displaystyle{\displaystyle\ln\NVar{z}}}$ 
\ln@@{\NVar{z}}
@@ Property / Symbols used: principal branch of logarithm function / qualifier @@
+xml-id: C4.S2.E2.m2adec
@@ Property / Symbols used @@
+Q11750
@@ Property / Symbols used: Q11750 / rank @@
+Normal rank
@@ Property / Symbols used: Q11750 / qualifier @@
+test:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q11750 / qualifier @@
+xml-id: C18.S1.XMD2.m1hdec
@@ Property / Symbols used @@
+Q11726
@@ Property / Symbols used: Q11726 / rank @@
+Normal rank
@@ Property / Symbols used: Q11726 / qualifier @@
+test:  ${\displaystyle{\displaystyle n}}$ 
n
@@ Property / Symbols used: Q11726 / qualifier @@
+xml-id: C18.S1.XMD6.m1hdec
@@ Property / Symbols used @@
+Q11727
@@ Property / Symbols used: Q11727 / rank @@
+Normal rank
@@ Property / Symbols used: Q11727 / qualifier @@
+test:  ${\displaystyle{\displaystyle x}}$ 
x
@@ Property / Symbols used: Q11727 / qualifier @@
+xml-id: C18.S2.XMD3.m1gdec

DLMF:18.12.E9 (Q5651): Difference between revisions

${\displaystyle{\displaystyle|z|<1}}$

${\displaystyle{\displaystyle T_{\NVar{n}}\left(\NVar{x}\right)}}$

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

${\displaystyle{\displaystyle z}}$

${\displaystyle{\displaystyle n}}$

${\displaystyle{\displaystyle x}}$

Latest revision as of 14:32, 2 January 2020

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DLMF:18.12.E9 (Q5651): Difference between revisions

| z | < 1 𝑧 1 {\displaystyle{\displaystyle|z|<1}}

T n ⁡ ( x ) Chebyshev-polynomial-first-kind-T 𝑛 𝑥 {\displaystyle{\displaystyle T_{\NVar{n}}\left(\NVar{x}\right)}}

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

z 𝑧 {\displaystyle{\displaystyle z}}

n 𝑛 {\displaystyle{\displaystyle n}}

x 𝑥 {\displaystyle{\displaystyle x}}

Latest revision as of 14:32, 2 January 2020

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${\displaystyle{\displaystyle|z|<1}}$

${\displaystyle{\displaystyle T_{\NVar{n}}\left(\NVar{x}\right)}}$

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

${\displaystyle{\displaystyle z}}$

${\displaystyle{\displaystyle n}}$

${\displaystyle{\displaystyle x}}$