@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\left|z-z_{0}\right|<R}}$ 
\left|z-z_{0}\right|<R
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle m=0,1,2,\dots}}$ 
m=0,1,2,\dots
@@ Property / constraint: ${\displaystyle{\displaystyle m=0,1,2,\dots}}$ / rank @@
+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.m1adec
@@ Property / Symbols used @@
+Q10760
@@ Property / Symbols used: Q10760 / rank @@
+Normal rank
@@ Property / Symbols used: Q10760 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q10760 / qualifier @@
+xml-id: C1.S1.XMD1.m1ajdec
@@ Property / Symbols used @@
+Q10761
@@ Property / Symbols used: Q10761 / rank @@
+Normal rank
@@ Property / Symbols used: Q10761 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle m}}$ 
m
@@ Property / Symbols used: Q10761 / qualifier @@
+xml-id: C1.S1.XMD6.m1dec
@@ Property / Symbols used @@
+Q10757
@@ Property / Symbols used: Q10757 / rank @@
+Normal rank
@@ Property / Symbols used: Q10757 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle n}}$ 
n
@@ Property / Symbols used: Q10757 / qualifier @@
+xml-id: C1.S1.XMD7.m1ndec
@@ Property / Symbols used @@
+radius of convergence (locally)
@@ Property / Symbols used: radius of convergence (locally) / rank @@
+Normal rank
@@ Property / Symbols used: radius of convergence (locally) / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle R}}$ 
R
@@ Property / Symbols used: radius of convergence (locally) / qualifier @@
+xml-id: C1.S9.XMD23.m1adec

DLMF:1.9.E63 (Q345): Difference between revisions

| z - z 0 | < R 𝑧 subscript 𝑧 0 𝑅 {\displaystyle{\displaystyle\left|z-z_{0}\right|<R}}

m = 0 , 1 , 2 , … 𝑚 0 1 2 … {\displaystyle{\displaystyle m=0,1,2,\dots}}

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

z 𝑧 {\displaystyle{\displaystyle z}}

m 𝑚 {\displaystyle{\displaystyle m}}

n 𝑛 {\displaystyle{\displaystyle n}}

R 𝑅 {\displaystyle{\displaystyle R}}

Latest revision as of 16:10, 1 January 2020

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${\displaystyle{\displaystyle\left|z-z_{0}\right|<R}}$

${\displaystyle{\displaystyle m=0,1,2,\dots}}$

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

${\displaystyle{\displaystyle z}}$

${\displaystyle{\displaystyle m}}$

${\displaystyle{\displaystyle n}}$

${\displaystyle{\displaystyle R}}$