@@ Property / constraint @@
+ ${\displaystyle{\displaystyle 2\mu\neq-1,-2,-3,\dots}}$ 
2\mu\neq-1,-2,-3,\dots
+Normal rank
@@ Property / Symbols used @@
+Q11581
@@ Property / Symbols used: Q11581 / rank @@
+Normal rank
@@ Property / Symbols used: Q11581 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle{{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};% \NVar{z}\right)}}$ 
\genhyperF{2}{1}@{\NVar{a},\NVar{b}}{\NVar{c}}{\NVar{z}}
@@ Property / Symbols used: Q11581 / qualifier @@
+xml-id: C16.S2.m5adec
@@ 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.m1adec
@@ Property / Symbols used @@
+Whittaker confluent hypergeometric function
@@ Property / Symbols used: Whittaker confluent hypergeometric function / rank @@
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle M_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}$ 
\WhittakerconfhyperM{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}}
+xml-id: C13.S14.E2.m2abdec
@@ 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.m5adec
@@ 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.m1dec
@@ Property / Symbols used @@
+Q11558
@@ Property / Symbols used: Q11558 / rank @@
+Normal rank
@@ Property / Symbols used: Q11558 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle s}}$ 
s
@@ Property / Symbols used: Q11558 / qualifier @@
+xml-id: C13.S1.XMD3.m1dec
@@ 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.m1edec
@@ 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.m2addec

DLMF:13.14.E6 (Q4495): Difference between revisions

2 ⁢ μ ≠ - 1 , - 2 , - 3 , … 2 𝜇 1 2 3 … {\displaystyle{\displaystyle 2\mu\neq-1,-2,-3,\dots}}

F 1 2 ⁡ ( a , b ; c ; z ) Gauss-hypergeometric-F-as-2F1 𝑎 𝑏 𝑐 𝑧 {\displaystyle{\displaystyle{{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};% \NVar{z}\right)}}

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

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

! {\displaystyle{\displaystyle!}}

n 𝑛 {\displaystyle{\displaystyle n}}

s 𝑠 {\displaystyle{\displaystyle s}}

z 𝑧 {\displaystyle{\displaystyle z}}

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

Latest revision as of 16:05, 2 January 2020

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${\displaystyle{\displaystyle 2\mu\neq-1,-2,-3,\dots}}$

${\displaystyle{\displaystyle{{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};% \NVar{z}\right)}}$

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

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

${\displaystyle{\displaystyle!}}$

${\displaystyle{\displaystyle n}}$

${\displaystyle{\displaystyle s}}$

${\displaystyle{\displaystyle z}}$

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