@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\kappa-\frac{1}{2}n-\frac{1}{2}=0,1,2,\dots}}$ 
\kappa-\frac{1}{2}n-\frac{1}{2}=0,1,2,\dots
+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.m1acdec
@@ Property / Symbols used @@
+Whittaker confluent hypergeometric function
@@ Property / Symbols used: Whittaker confluent hypergeometric function / rank @@
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}$ 
\WhittakerconfhyperW{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}}
+xml-id: C13.S14.E3.m2acdec
@@ Property / Symbols used @@
+Q10754
@@ Property / Symbols used: Q10754 / rank @@
+Normal rank
@@ Property / Symbols used: Q10754 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}$ 
\binom{\NVar{m}}{\NVar{n}}
@@ Property / Symbols used: Q10754 / qualifier @@
+xml-id: C1.S2.SS1.m1adec
@@ Property / Symbols used @@
+base of natural logarithm
@@ Property / Symbols used: base of natural logarithm / rank @@
+Normal rank
@@ Property / Symbols used: base of natural logarithm / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{e}}}$ 
\expe
@@ Property / Symbols used: base of natural logarithm / qualifier @@
+xml-id: C4.S2.E11.m2agdec
@@ Property / Symbols used @@
+Q11559
@@ Property / Symbols used: Q11559 / rank @@
+Normal rank
@@ Property / Symbols used: Q11559 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle n}}$ 
n
@@ Property / Symbols used: Q11559 / qualifier @@
+xml-id: C13.S1.XMD2.m1cdec
@@ Property / Symbols used @@
+Q11557
@@ Property / Symbols used: Q11557 / rank @@
+Normal rank
@@ Property / Symbols used: Q11557 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q11557 / qualifier @@
+xml-id: C13.S1.XMD6.m1hdec

DLMF:13.14.E9 (Q4498): Difference between revisions

κ - 1 2 ⁢ n - 1 2 = 0 , 1 , 2 , … 𝜅 1 2 𝑛 1 2 0 1 2 … {\displaystyle{\displaystyle\kappa-\frac{1}{2}n-\frac{1}{2}=0,1,2,\dots}}

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

W κ , μ ⁡ ( z ) Whittaker-confluent-hypergeometric-W 𝜅 𝜇 𝑧 {\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}

( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}

e {\displaystyle{\displaystyle\mathrm{e}}}

n 𝑛 {\displaystyle{\displaystyle n}}

z 𝑧 {\displaystyle{\displaystyle z}}

Latest revision as of 16:05, 2 January 2020

Statements

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Navigation menu

Search

${\displaystyle{\displaystyle\kappa-\frac{1}{2}n-\frac{1}{2}=0,1,2,\dots}}$

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

${\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}$

${\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}$

${\displaystyle{\displaystyle\mathrm{e}}}$

${\displaystyle{\displaystyle n}}$

${\displaystyle{\displaystyle z}}$