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 }

DOI10.1007/BF02920372zbMath0071.24003OpenAlexW4249318262MaRDI QIDQ3234111

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Publication date: 1956

Published in: Applied Scientific Research, Section B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02920372

zbMATH Keywords

rigid bodies

Related Items (1)

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

Cites Work

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• The integrals $$\mathfrak{A}_p (x) = (p!)^{ - 1} \int\limits_0^\infty {\varepsilon ^p (\varepsilon + x} )^{ - 1} e^{ - \varepsilon } d\varepsilon $$ and $$\mathfrak{B}_p (x) = (p!)^{ - 1} \int\limits_0^\infty {\varepsilon ^p (\varepsilon + x} )^{ - 2} e^{ - \varepsilon } d\varepsilon $$ and their tabulationdϕ and their tabulation
• The integrals $$Ci_n \left( x \right) = \int\limits_1^\infty {u^{ - n} \cos ux du} $$ and $$Si_n \left( x \right) = \int\limits_1^\infty {u^{ - n} \sin ux du} $$ and their tabulationand their tabulation

This page was built for publication: 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 }