@@ Property / constraint @@
+ ${\displaystyle{\displaystyle|\operatorname{ph}z|<\pi}}$ 
|\phase@@{z}|<\pi
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle|\operatorname{ph}z|<\pi}}$ 
|\operatorname{ph}z|<\pi
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle|z|<1}}$ 
|z|<1
@@ Property / constraint: ${\displaystyle{\displaystyle|z|<1}}$ / rank @@
+Normal rank
@@ Property / Symbols used @@
+$$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$  Gauss’ hypergeometric function
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle F\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)}}$ 
\hyperF@{\NVar{a}}{\NVar{b}}{\NVar{c}}{\NVar{z}}
+xml-id: C15.S2.E1.m2ajdec
@@ Property / Symbols used @@
+the ratio of the circumference of a circle to its diameter
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle\pi}}$ 
\cpi
+xml-id: C3.S12.E1.m2akdec
@@ Property / Symbols used @@
+Q10817
@@ Property / Symbols used: Q10817 / rank @@
+Normal rank
@@ Property / Symbols used: Q10817 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{ph}}}$ 
\phase
@@ Property / Symbols used: Q10817 / qualifier @@
+xml-id: C1.S9.E7.m1akdec
@@ Property / Symbols used @@
+Q11644
@@ Property / Symbols used: Q11644 / rank @@
+Normal rank
@@ Property / Symbols used: Q11644 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q11644 / qualifier @@
+xml-id: C15.S1.XMD3.m1tdec
@@ Property / Symbols used @@
+Q11645
@@ Property / Symbols used: Q11645 / rank @@
+Normal rank
@@ Property / Symbols used: Q11645 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle a}}$ 
a
@@ Property / Symbols used: Q11645 / qualifier @@
+xml-id: C15.S1.XMD4.m1sdec
@@ Property / Symbols used @@
+Q11646
@@ Property / Symbols used: Q11646 / rank @@
+Normal rank
@@ Property / Symbols used: Q11646 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle b}}$ 
b
@@ Property / Symbols used: Q11646 / qualifier @@
+xml-id: C15.S1.XMD5.m1qdec

DLMF:15.8.E21 (Q5078): Difference between revisions

| ph ⁡ z | < π phase 𝑧 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|<\pi}}

| ph ⁡ z | < π ph 𝑧 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|<\pi}}

| z | < 1 𝑧 1 {\displaystyle{\displaystyle|z|<1}}

F ⁡ ( a , b ; c ; z ) Gauss-hypergeometric-F 𝑎 𝑏 𝑐 𝑧 {\displaystyle{\displaystyle F\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)}}

π {\displaystyle{\displaystyle\pi}}

ph phase {\displaystyle{\displaystyle\operatorname{ph}}}

z 𝑧 {\displaystyle{\displaystyle z}}

a 𝑎 {\displaystyle{\displaystyle a}}

b 𝑏 {\displaystyle{\displaystyle b}}

Latest revision as of 14:05, 2 January 2020

Statements

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Navigation menu

Search

${\displaystyle{\displaystyle|\operatorname{ph}z|<\pi}}$

${\displaystyle{\displaystyle|\operatorname{ph}z|<\pi}}$

${\displaystyle{\displaystyle|z|<1}}$

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

${\displaystyle{\displaystyle\pi}}$

${\displaystyle{\displaystyle\operatorname{ph}}}$

${\displaystyle{\displaystyle z}}$

${\displaystyle{\displaystyle a}}$

${\displaystyle{\displaystyle b}}$