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On Some Expansions and Integrals Involving the Parabolic Cylinder Functions
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In Art. 1 of the present paper certain indefinite integrals involving Dn(z) are evaluated, in Art. 2 the expansion of the product Dg(z) Dm(z) Dn(z) is obtained in series of the functions Dn(z), in Art, 3 the integral ∫D0(z) Dp(z) Dm(z) Dn(z) dz is evaluated and in Art, 4 an Addition theorem is found.
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