@@ Property / Symbols used @@
+irregular Coulomb function
@@ Property / Symbols used: irregular Coulomb function / rank @@
+Normal rank
@@ Property / Symbols used: irregular Coulomb function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle h\left(\NVar{\epsilon},\NVar{\ell};\NVar{r}\right% )}}$ 
\irregCoulombh@{\NVar{\epsilon}}{\NVar{\ell}}{\NVar{r}}
@@ Property / Symbols used: irregular Coulomb function / qualifier @@
+xml-id: C33.S14.E7.m2abdec
@@ Property / Symbols used @@
+Q10931
@@ Property / Symbols used: Q10931 / rank @@
+Normal rank
@@ Property / Symbols used: Q10931 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\sim}}$ 
\asympexp
@@ Property / Symbols used: Q10931 / qualifier @@
+xml-id: C2.S1.SS3.p1.m11adec
@@ Property / Symbols used @@
+Q12669
@@ Property / Symbols used: Q12669 / rank @@
+Normal rank
@@ Property / Symbols used: Q12669 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle k}}$ 
k
@@ Property / Symbols used: Q12669 / qualifier @@
+xml-id: C33.S1.XMD1.m1ddec
@@ Property / Symbols used @@
+Q12666
@@ Property / Symbols used: Q12666 / rank @@
+Normal rank
@@ Property / Symbols used: Q12666 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\ell}}$ 
\ell
@@ Property / Symbols used: Q12666 / qualifier @@
+xml-id: C33.S1.XMD2.m1fdec
@@ Property / Symbols used @@
+Q12692
@@ Property / Symbols used: Q12692 / rank @@
+Normal rank
@@ Property / Symbols used: Q12692 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle r}}$ 
r
@@ Property / Symbols used: Q12692 / qualifier @@
+xml-id: C33.S1.XMD3.m1edec
@@ Property / Symbols used @@
+Q12693
@@ Property / Symbols used: Q12693 / rank @@
+Normal rank
@@ Property / Symbols used: Q12693 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\epsilon}}$ 
\epsilon
@@ Property / Symbols used: Q12693 / qualifier @@
+xml-id: C33.S1.XMD6.m1adec
@@ Property / Symbols used @@
+function (locally)
@@ Property / Symbols used: function (locally) / rank @@
+Normal rank
@@ Property / Symbols used: function (locally) / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle A(\epsilon,\ell)}}$ 
A(\epsilon,\ell)
@@ Property / Symbols used: function (locally) / qualifier @@
+xml-id: C33.S14.XMD4.m1dec
@@ Property / Symbols used @@
+Q12702
@@ Property / Symbols used: Q12702 / rank @@
+Normal rank
@@ Property / Symbols used: Q12702 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathsf{H}_{k}(\ell;r)}}$ 
\mathsf{H}_{k}(\ell;r)
@@ Property / Symbols used: Q12702 / qualifier @@
+xml-id: C33.S20.XMD3.m1dec

DLMF:33.20.E7 (Q9676): Difference between revisions

h ⁡ ( ϵ , ℓ ; r ) Coulomb-h italic-ϵ ℓ 𝑟 {\displaystyle{\displaystyle h\left(\NVar{\epsilon},\NVar{\ell};\NVar{r}\right% )}}

∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}}

k 𝑘 {\displaystyle{\displaystyle k}}

ℓ ℓ {\displaystyle{\displaystyle\ell}}

r 𝑟 {\displaystyle{\displaystyle r}}

ϵ italic-ϵ {\displaystyle{\displaystyle\epsilon}}

A ⁢ ( ϵ , ℓ ) 𝐴 italic-ϵ ℓ {\displaystyle{\displaystyle A(\epsilon,\ell)}}

𝖧 k ⁢ ( ℓ ; r ) subscript 𝖧 𝑘 ℓ 𝑟 {\displaystyle{\displaystyle\mathsf{H}_{k}(\ell;r)}}

Latest revision as of 14:39, 2 January 2020

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${\displaystyle{\displaystyle h\left(\NVar{\epsilon},\NVar{\ell};\NVar{r}\right% )}}$

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

${\displaystyle{\displaystyle k}}$

${\displaystyle{\displaystyle\ell}}$

${\displaystyle{\displaystyle r}}$

${\displaystyle{\displaystyle\epsilon}}$

${\displaystyle{\displaystyle A(\epsilon,\ell)}}$

${\displaystyle{\displaystyle\mathsf{H}_{k}(\ell;r)}}$