DLMF:19.19.E3 (Q6363): Difference between revisions

@@ Property / constraint @@
+ ${\displaystyle{\displaystyle|1-(z_{j}/z_{n})|<1}}$ 
|1-(z_{j}/z_{n})|<1
+Normal rank
@@ Property / Symbols used @@
+multivariate hypergeometric function
@@ Property / Symbols used: multivariate hypergeometric function / rank @@
+Normal rank
@@ Property / Symbols used: multivariate hypergeometric function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle R_{\NVar{-a}}\left(\NVar{b_{1}},\dots,\NVar{b_{n}% };\NVar{z_{1}},\dots,\NVar{z_{n}}\right)}}$ 
\Carlsonmultivarhyper{\NVar{-a}}@{\NVar{b_{1}},\dots,\NVar{b_{n}}}{\NVar{z_{1}},\dots,\NVar{z_{n}}}
@@ Property / Symbols used: multivariate hypergeometric function / qualifier @@
+xml-id: C19.S16.E9.m2aadec
@@ Property / Symbols used @@
+Q10759
@@ Property / Symbols used: Q10759 / rank @@
+Normal rank
@@ Property / Symbols used: Q10759 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}$ 
\Pochhammersym{\NVar{a}}{\NVar{n}}
@@ Property / Symbols used: Q10759 / qualifier @@
+xml-id: C5.S2.SS3.m1abdec
@@ Property / Symbols used @@
+Q11820
@@ Property / Symbols used: Q11820 / rank @@
+Normal rank
@@ Property / Symbols used: Q11820 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle n}}$ 
n
@@ Property / Symbols used: Q11820 / qualifier @@
+xml-id: C19.S1.XMD3.m1bdec
@@ Property / Symbols used @@
+Q11858
@@ Property / Symbols used: Q11858 / rank @@
+Normal rank
@@ Property / Symbols used: Q11858 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle N}}$ 
N
@@ Property / Symbols used: Q11858 / qualifier @@
+xml-id: C19.S19.XMD1.m1bdec
@@ Property / Symbols used @@
+Q11859
@@ Property / Symbols used: Q11859 / rank @@
+Normal rank
@@ Property / Symbols used: Q11859 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle T_{N}(\mathbf{b},\mathbf{z})}}$ 
T_{N}(\mathbf{b},\mathbf{z})
@@ Property / Symbols used: Q11859 / qualifier @@
+xml-id: C19.S19.XMD2.m1bdec

DLMF:19.19.E3 (Q6363): Difference between revisions

${\displaystyle{\displaystyle|1-(z_{j}/z_{n})|<1}}$

${\displaystyle{\displaystyle R_{\NVar{-a}}\left(\NVar{b_{1}},\dots,\NVar{b_{n}% };\NVar{z_{1}},\dots,\NVar{z_{n}}\right)}}$

${\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}$

${\displaystyle{\displaystyle n}}$

${\displaystyle{\displaystyle N}}$

${\displaystyle{\displaystyle T_{N}(\mathbf{b},\mathbf{z})}}$

Latest revision as of 13:56, 2 January 2020

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DLMF:19.19.E3 (Q6363): Difference between revisions

| 1 - ( z j / z n ) | < 1 1 subscript 𝑧 𝑗 subscript 𝑧 𝑛 1 {\displaystyle{\displaystyle|1-(z_{j}/z_{n})|<1}}

R - a ⁡ ( b 1 , … , b n ; z 1 , … , z n ) Carlson-integral-R 𝑎 subscript 𝑏 1 … subscript 𝑏 𝑛 subscript 𝑧 1 … subscript 𝑧 𝑛 {\displaystyle{\displaystyle R_{\NVar{-a}}\left(\NVar{b_{1}},\dots,\NVar{b_{n}% };\NVar{z_{1}},\dots,\NVar{z_{n}}\right)}}

( a ) n Pochhammer 𝑎 𝑛 {\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}

n 𝑛 {\displaystyle{\displaystyle n}}

N 𝑁 {\displaystyle{\displaystyle N}}

T N ⁢ ( 𝐛 , 𝐳 ) subscript 𝑇 𝑁 𝐛 𝐳 {\displaystyle{\displaystyle T_{N}(\mathbf{b},\mathbf{z})}}

Latest revision as of 13:56, 2 January 2020

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${\displaystyle{\displaystyle|1-(z_{j}/z_{n})|<1}}$

${\displaystyle{\displaystyle R_{\NVar{-a}}\left(\NVar{b_{1}},\dots,\NVar{b_{n}% };\NVar{z_{1}},\dots,\NVar{z_{n}}\right)}}$

${\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}$

${\displaystyle{\displaystyle n}}$

${\displaystyle{\displaystyle N}}$

${\displaystyle{\displaystyle T_{N}(\mathbf{b},\mathbf{z})}}$