@@ Property / constraint @@
+ ${\displaystyle{\displaystyle-\tfrac{1}{2}<\lambda<0}}$ 
-\tfrac{1}{2}<\lambda<0
+Normal rank
@@ 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.m1addec
@@ Property / Symbols used @@
+Q10755
@@ Property / Symbols used: Q10755 / rank @@
+Normal rank
@@ Property / Symbols used: Q10755 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle!}}$ 
!
@@ Property / Symbols used: Q10755 / qualifier @@
+xml-id: introduction.Sx4.p1.t1.r15.m5aedec
@@ Property / Symbols used @@
+Q11475
@@ Property / Symbols used: Q11475 / rank @@
+Normal rank
@@ Property / Symbols used: Q11475 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle C^{(\NVar{\lambda})}_{\NVar{n}}\left(\NVar{x}% \right)}}$ 
\ultrasphpoly{\NVar{\lambda}}{\NVar{n}}@{\NVar{x}}
@@ Property / Symbols used: Q11475 / qualifier @@
+xml-id: C18.S3.T1.t1.r3.m2abdec
@@ Property / Symbols used @@
+Q11730
@@ Property / Symbols used: Q11730 / rank @@
+Normal rank
@@ Property / Symbols used: Q11730 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle m}}$ 
m
@@ Property / Symbols used: Q11730 / qualifier @@
+xml-id: C18.S1.XMD5.m1adec
@@ Property / Symbols used @@
+Q11727
@@ Property / Symbols used: Q11727 / rank @@
+Normal rank
@@ Property / Symbols used: Q11727 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle x}}$ 
x
@@ Property / Symbols used: Q11727 / qualifier @@
+xml-id: C18.S2.XMD3.m1edec

DLMF:18.14.E6 (Q5669): Difference between revisions

- 1 2 < λ < 0 1 2 𝜆 0 {\displaystyle{\displaystyle-\tfrac{1}{2}<\lambda<0}}

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

! {\displaystyle{\displaystyle!}}

C n ( λ ) ⁡ ( x ) ultraspherical-Gegenbauer-polynomial 𝜆 𝑛 𝑥 {\displaystyle{\displaystyle C^{(\NVar{\lambda})}_{\NVar{n}}\left(\NVar{x}% \right)}}

m 𝑚 {\displaystyle{\displaystyle m}}

x 𝑥 {\displaystyle{\displaystyle x}}

Latest revision as of 15:34, 2 January 2020

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${\displaystyle{\displaystyle-\tfrac{1}{2}<\lambda<0}}$

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

${\displaystyle{\displaystyle!}}$

${\displaystyle{\displaystyle C^{(\NVar{\lambda})}_{\NVar{n}}\left(\NVar{x}% \right)}}$

${\displaystyle{\displaystyle m}}$

${\displaystyle{\displaystyle x}}$