Geodesic
On the calculations of Legendre functions
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 36, Tome 342 (2007), pp. 14-30 Cet article a éte moissonné depuis la source Math-Net.Ru

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The subject of the paper is methods of calculations of Legendre functions $P_\nu(x)-1, $\nu\in\mathbb C$ and associated Legendre functions $P_\nu^{-m}(x)$ $-1, $\nu\in\mathbb C$, $m\in\mathbb Z_+$. 
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     title = {On the calculations of {Legendre} functions},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2007_342_a1/}
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V. M. Babich; D. B. Dement'ev; B. A. Samokish. On the calculations of Legendre functions. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 36, Tome 342 (2007), pp. 14-30. http://geodesic.mathdoc.fr/item/ZNSL_2007_342_a1/

[1] I. M. Ryzhik, I. S. Gradshtein, Tablitsy integralov, summ, ryadov, proizvedenii, GITTL, M-L., 1951

[2] E. T. Uitteker, Dzh. N. Vatson, Kurs sovremennogo analiza, t. 2, Fizmatgiz, M., 1963

[3] B. A. Samokish, Zamechanie o vychislenii opredelennykh integralov, Metody vychislenii, no. 2, izd-vo LGU, 1963

[4] V. A. Fok, “O predstavlenii proizvolnoi funktsii v vide integrala ot funktsii Lezhandra s kompleksnym indeksom”, DAN SSSR, 39:7 (1943), 279–283

[5] V. M. Babich, K. D. Cherednichenko, “On Fock type asymptotics of Legendre functions”, Integral Transform and Special Functions, 5:1–2 (1997), 1–18 | DOI | MR | Zbl