@@ Property / Symbols used @@
+Bessel function of the first kind
@@ Property / Symbols used: Bessel function of the first kind / rank @@
+Normal rank
@@ Property / Symbols used: Bessel function of the first kind / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}$ 
\BesselJ{\NVar{\nu}}@{\NVar{z}}
@@ Property / Symbols used: Bessel function of the first kind / qualifier @@
+xml-id: C10.S2.E2.m2adec
@@ Property / Symbols used @@
+order not exceeding
@@ Property / Symbols used: order not exceeding / rank @@
+Normal rank
@@ Property / Symbols used: order not exceeding / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$ 
\bigO@{\NVar{x}}
@@ Property / Symbols used: order not exceeding / qualifier @@
+xml-id: C2.S1.E3.m2addec
@@ Property / Symbols used @@
+gamma function
@@ Property / Symbols used: gamma function / rank @@
+Normal rank
@@ Property / Symbols used: gamma function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$ 
\EulerGamma@{\NVar{z}}
@@ Property / Symbols used: gamma function / qualifier @@
+xml-id: C5.S2.E1.m2addec
@@ Property / Symbols used @@
+$$={{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}\right)$$  Kummer confluent hypergeometric function
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle M\left(\NVar{a},\NVar{b},\NVar{z}\right)}}$ 
\KummerconfhyperM@{\NVar{a}}{\NVar{b}}{\NVar{z}}
+xml-id: C13.S2.E2.m2addec
@@ Property / Symbols used @@
+Q11090
@@ Property / Symbols used: Q11090 / rank @@
+Normal rank
@@ Property / Symbols used: Q11090 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{env}\mskip-2.0mu J_{\NVar{\nu}}\left(\NVar% {x}\right)}}$ 
\envBesselJ{\NVar{\nu}}@{\NVar{x}}
@@ Property / Symbols used: Q11090 / qualifier @@
+xml-id: C2.S8.SS4.p5.m2adec
@@ 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
@@ Property / Symbols used @@
+Q11566
@@ Property / Symbols used: Q11566 / rank @@
+Normal rank
@@ Property / Symbols used: Q11566 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle x}}$ 
x
@@ Property / Symbols used: Q11566 / qualifier @@
+xml-id: C13.S1.XMD4.m1adec

DLMF:13.8.E9 (Q4434): Difference between revisions

J ν ⁡ ( z ) Bessel-J 𝜈 𝑧 {\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}

O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

M ⁡ ( a , b , z ) Kummer-confluent-hypergeometric-M 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle M\left(\NVar{a},\NVar{b},\NVar{z}\right)}}

env ⁢ J ν ⁡ ( x ) envelope-Bessel-J 𝜈 𝑥 {\displaystyle{\displaystyle\mathrm{env}\mskip-2.0mu J_{\NVar{\nu}}\left(\NVar% {x}\right)}}

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

x 𝑥 {\displaystyle{\displaystyle x}}

Latest revision as of 15:57, 2 January 2020

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${\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}$

${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$

${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$

${\displaystyle{\displaystyle M\left(\NVar{a},\NVar{b},\NVar{z}\right)}}$

${\displaystyle{\displaystyle\mathrm{env}\mskip-2.0mu J_{\NVar{\nu}}\left(\NVar% {x}\right)}}$

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

${\displaystyle{\displaystyle x}}$