Integral representations for products of Weber's parabolic cylinder functions. (Q2596468)
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| English | Integral representations for products of Weber's parabolic cylinder functions. |
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Integral representations for products of Weber's parabolic cylinder functions. (English)
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1938
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Verf. beweist die Integraldarstellung \[ H_n^2(x)= \frac{(-2)^nn!}{\pi(2n)!} \int\limits_0^\pi H_{2n}(x\sqrt{1-\sec\varPhi} )\cos^n\varPhi\,d\varPhi \] für das Quadrat Hermitescher Polynome. Vgl. auch die daran anschließenden Untersuchungen von \textit{Bailey}, \textit{Watson} und Ref. (vgl. die vorletzte und die beiden nachstehenden Besprechungen).
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