Heat and mass transfer of an oscillatory flow with Hall current |
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Authors: | H L Agrawal P C Ram V Singh |
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Institution: | 1. Department of Astronomy, University of Manchester, England
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Abstract: | In the first part of these notes new expressions—simpler than any previously obtained—are presented in integral form for the derivatives of the α n 0 -functions (required for an interpretation of the observed light changes of eclipsing variables) with respect to the fractional radiir 1, 2 and projected separation δ of their centres in terms of the modified Bessel functionsK 0, 1 (x) of the second kind; and utilized for establishing new asymptotic formulae for the computation of ‘boundary integrals’ of the formJ ?1 0 ,n(μ). In the second part of this paper, by a resort to bi-polar coordinates, we shall establish a new type of expansions for the α n 0 -functions valid for any type of eclipses, and converging faster than the expansions of the cross-correlation integral of the form (1) for α n 0 that have so far been established. |
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