The integrals $$\mathfrak{A}_p (x) = (p!)^{ - 1} \int\limits_0^\infty {\varepsilon ^p (\varepsilon + x} )^{ - 1} e^{ - \varepsilon } d\varepsilon $$ and $$\mathfrak{B}_p (x) = (p!)^{ - 1} \int\limits_0^\infty {\varepsilon ^p (\varepsilon + x} )^{ - 2} e^{
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Publication:3234110
DOI10.1007/BF02920371zbMath0071.24002MaRDI QIDQ3234110
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Publication date: 1956
Published in: Applied Scientific Research, Section B (Search for Journal in Brave)
Related Items (5)
The integrals $$\mathfrak{E}_p (x) = (p!)^{ - 1} \int\limits_0^\infty {\varepsilon ^p (1 + } x\varepsilon ^3 )^{ - 1} e^{ - \varepsilon } d\varepsilon $$ and $$\mathfrak{F}_p (x) = (p!)^{ - 1} \int\limits_0^\infty {\varepsilon ^p (1 + } x\varepsilon ^3 )^{ - 2} e^{ - \varepsilon } d\varepsilon $$ and their tabulationand their tabulation ⋮ The Fermi-Dirac integrals $$\mathcal{F}_p (\eta ) = (p!)^{ - 1} \int\limits_0^\infty {\varepsilon ^p (e^{\varepsilon - \eta } + 1} )^{ - 1} d\varepsilon $$ ⋮ The Bose-Einstein integrals $$\mathcal{B}_p (\eta ) = (p!)^{ - 1} \int\limits_0^\infty {\varepsilon ^p (e^{\varepsilon - \eta } - 1} )^{ - 1} d\varepsilon $$ ⋮ The integrals $$\mathfrak{C}_p (x) = (p!)^{ - 1} \int\limits_0^\infty {\varepsilon ^p (\varepsilon ^2 + x^2 } )^{ - 1} e^{ - \varepsilon } d\varepsilon $$ and $$\mathfrak{D}_p (x) = (p!)^{ - 1} \int\limits_0^\infty {\varepsilon ^p (\varepsilon ^2 + x^2 } )^{ - 2} e^{ - \varepsilon } d\varepsilon $$ and their tabulationand their tabulation ⋮ Conductivity of Plasmas to Microwaves
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This page was built for publication: The integrals $$\mathfrak{A}_p (x) = (p!)^{ - 1} \int\limits_0^\infty {\varepsilon ^p (\varepsilon + x} )^{ - 1} e^{ - \varepsilon } d\varepsilon $$ and $$\mathfrak{B}_p (x) = (p!)^{ - 1} \int\limits_0^\infty {\varepsilon ^p (\varepsilon + x} )^{ - 2} e^{