EXACT ANALYTICAL EXPRESSIONS AND NUMERICAL VALUES OF SLATER'S AND MARVIN'S RADIAL INTEGRALS OF THE TYPE $F_k^{(\mu, \nu)}(1;2)$ AND $G_k^{(\mu, \nu)}(1, 2)$ WITH THE KERNEL $r_<^{k+\mu} / r_>^{k+\nu}$(<font>AS</font>k ≥ 0, μ ≥ 0 IS EVEN AND ν - μ = 1, 3, 5, …) AND WITH DIRAC'S RADIAL FUNCTIONS g(r) AND f(r) FOR ARBITRARY <i>nlj</i>-STATES OF H-LIKE ATOMS AND Z ≤ 137 BY MEANS OF GAUSS'S FUNCTIONS <sub>2</sub>F<sub>1</sub>(z) (Q3011028)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | EXACT ANALYTICAL EXPRESSIONS AND NUMERICAL VALUES OF SLATER'S AND MARVIN'S RADIAL INTEGRALS OF THE TYPE $F_k^{(\mu, \nu)}(1;2)$ AND $G_k^{(\mu, \nu)}(1, 2)$ WITH THE KERNEL $r_<^{k+\mu} / r_>^{k+\nu}$(<font>AS</font>k ≥ 0, μ ≥ 0 IS EVEN AND ν - μ = 1, 3, 5, …) AND WITH DIRAC'S RADIAL FUNCTIONS g(r) AND f(r) FOR ARBITRARY <i>nlj</i>-STATES OF H-LIKE ATOMS AND Z ≤ 137 BY MEANS OF GAUSS'S FUNCTIONS <sub>2</sub>F<sub>1</sub>(z) |
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EXACT ANALYTICAL EXPRESSIONS AND NUMERICAL VALUES OF SLATER'S AND MARVIN'S RADIAL INTEGRALS OF THE TYPE $F_k^{(\mu, \nu)}(1;2)$ AND $G_k^{(\mu, \nu)}(1, 2)$ WITH THE KERNEL $r_<^{k+\mu} / r_>^{k+\nu}$(<font>AS</font>k ≥ 0, μ ≥ 0 IS EVEN AND ν - μ = 1, 3, 5, …) AND WITH DIRAC'S RADIAL FUNCTIONS g(r) AND f(r) FOR ARBITRARY <i>nlj</i>-STATES OF H-LIKE ATOMS AND Z ≤ 137 BY MEANS OF GAUSS'S FUNCTIONS <sub>2</sub>F<sub>1</sub>(z) (English)
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27 June 2011
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Slater's and Marvin's radial integrals of the type \(F_k^{\mu,\nu}(1
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2)\) and \(G_k^{(\mu,\nu)}(1,2)\)
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Dirac's radial functions \(g(r)\) and \(f(r)\) of H-like atoms
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Gauss's hypergeometric function \(_{2}F_{1}(z)\)
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the incomplete gamma functions
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