@@ Property / constraint @@
+ ${\displaystyle{\displaystyle z\to\infty}}$ 
z\to\infty
@@ Property / constraint: ${\displaystyle{\displaystyle z\to\infty}}$ / rank @@
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle|\operatorname{ph}z|\leq\frac{3}{2}\pi-\delta}}$ 
|\operatorname{ph}z|\leq\frac{3}{2}\pi-\delta
+Normal rank
@@ Property / Symbols used @@
+asymptotic equality
@@ Property / Symbols used: asymptotic equality / rank @@
+Normal rank
@@ Property / Symbols used: asymptotic equality / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\sim}}$ 
\asympeq
@@ Property / Symbols used: asymptotic equality / qualifier @@
+xml-id: C2.S1.E1.m2adec
@@ 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.m2adec
@@ 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.m1adec
@@ 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 @@
+Q11560
@@ Property / Symbols used: Q11560 / rank @@
+Normal rank
@@ Property / Symbols used: Q11560 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\delta}}$ 
\delta
@@ Property / Symbols used: Q11560 / qualifier @@
+xml-id: C13.S1.XMD7.m1dec

DLMF:13.2.E6 (Q4296): Difference between revisions

z → ∞ → 𝑧 {\displaystyle{\displaystyle z\to\infty}}

| ph ⁡ z | ≤ 3 2 ⁢ π - δ ph 𝑧 3 2 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\frac{3}{2}\pi-\delta}}

∼ asymptotically-equals {\displaystyle{\displaystyle\sim}}

π {\displaystyle{\displaystyle\pi}}

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

z 𝑧 {\displaystyle{\displaystyle z}}

δ 𝛿 {\displaystyle{\displaystyle\delta}}

Latest revision as of 15:35, 2 January 2020

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${\displaystyle{\displaystyle z\to\infty}}$

${\displaystyle{\displaystyle|\operatorname{ph}z|\leq\frac{3}{2}\pi-\delta}}$

${\displaystyle{\displaystyle\sim}}$

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

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

${\displaystyle{\displaystyle z}}$

${\displaystyle{\displaystyle\delta}}$