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Some properties of generalized associated Legendre functions of second kind

  • Numerical Methods, Investigation and Solution of Equations
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Abstract

We investigate some new properties of generalized associated Legendre polynomials of the second kind, establish new relationships between these polynomials, construct differential operators with the functions P m,nk (z), Q m,nk (z), and describe some applications.

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Additional information

Kiev Polytechnical Institute. Translated from Vychislitel'naya i Prikladnaya Matematika, No. 68, pp. 34–45, 1989.

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Virchenko, N.A., Fedotova, I.A. Some properties of generalized associated Legendre functions of second kind. J Math Sci 69, 1395–1403 (1994). https://doi.org/10.1007/BF01250582

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  • DOI: https://doi.org/10.1007/BF01250582

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