@@ Property / Symbols used @@
-gamma function
@@ Property / Symbols used: gamma function / rank @@
-Normal rank
@@ Property / Symbols used: gamma function / qualifier @@
-Defining formula:  ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$ 
\EulerGamma@{\NVar{z}}
@@ Property / Symbols used: gamma function / qualifier @@
-xml-id: C5.S2.E1.m2aedec
@@ Property / Symbols used @@
+Q11481
@@ Property / Symbols used: Q11481 / rank @@
+Normal rank
@@ Property / Symbols used: Q11481 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle P^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{z}\right)}}$ 
\assLegendreP[\NVar{\mu}]{\NVar{\nu}}@{\NVar{z}}
@@ Property / Symbols used: Q11481 / qualifier @@
+xml-id: C14.S21.SS1.p1.m1aadec
@@ Property / Symbols used @@
+$$={{}_{2}{\mathbf{F}}_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$  Olver’s hypergeometric function
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle\mathbf{F}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z% }\right)}}$ 
\hyperOlverF@{\NVar{a}}{\NVar{b}}{\NVar{c}}{\NVar{z}}
+xml-id: C15.S2.E2.m2agdec
@@ Property / Symbols used @@
+Q11589
@@ Property / Symbols used: Q11589 / rank @@
+Normal rank
@@ Property / Symbols used: Q11589 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle x}}$ 
x
@@ Property / Symbols used: Q11589 / qualifier @@
+xml-id: C14.S1.XMD1.m1gdec
@@ Property / Symbols used @@
+Q11593
@@ Property / Symbols used: Q11593 / rank @@
+Normal rank
@@ Property / Symbols used: Q11593 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle m}}$ 
m
@@ Property / Symbols used: Q11593 / qualifier @@
+xml-id: C14.S1.XMD5.m1bdec
@@ Property / Symbols used @@
+Q11590
@@ Property / Symbols used: Q11590 / rank @@
+Normal rank
@@ Property / Symbols used: Q11590 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\nu}}$ 
\nu
@@ Property / Symbols used: Q11590 / qualifier @@
+xml-id: C14.S1.XMD8.m1fdec

DLMF:14.3.E8 (Q4697): Difference between revisions

Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

P ν μ ⁡ ( z ) Legendre-P-first-kind 𝜇 𝜈 𝑧 {\displaystyle{\displaystyle P^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{z}\right)}}

𝐅 ⁡ ( a , b ; c ; z ) scaled-hypergeometric-bold-F 𝑎 𝑏 𝑐 𝑧 {\displaystyle{\displaystyle\mathbf{F}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z% }\right)}}

x 𝑥 {\displaystyle{\displaystyle x}}

m 𝑚 {\displaystyle{\displaystyle m}}

ν 𝜈 {\displaystyle{\displaystyle\nu}}

Latest revision as of 01:14, 2 January 2020

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${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$

${\displaystyle{\displaystyle P^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{z}\right)}}$

${\displaystyle{\displaystyle\mathbf{F}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z% }\right)}}$

${\displaystyle{\displaystyle x}}$

${\displaystyle{\displaystyle m}}$

${\displaystyle{\displaystyle\nu}}$