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Zapiski Nauchnykh Seminarov POMI, 2007, Volume 342, Pages 14–30 (Mi znsl120)  
On the calculations of Legendre functions

V. M. Babicha, D. B. Dement'evb, B. A. Samokishb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State University
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Abstract: The subject of the paper is methods of calculations of Legendre functions $P_\nu(x)-1<x\le1$, $\nu\in\mathbb C$ and associated Legendre functions $P_\nu^{-m}(x)$ $-1<x\le1$, $\nu\in\mathbb C$, $m\in\mathbb Z_+$.
Received: 05.05.2007
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 148, Issue 5, Pages 639–649
DOI: https://doi.org/10.1007/s10958-008-0014-3
Bibliographic databases:
UDC: 517.564, 518.61
Language: Russian
Citation: V. M. Babich, D. B. Dement'ev, B. A. Samokish, “On the calculations of Legendre functions”, Mathematical problems in the theory of wave propagation. Part 36, Zap. Nauchn. Sem. POMI, 342, POMI, St. Petersburg, 2007, 14–30; J. Math. Sci. (N. Y.), 148:5 (2008), 639–649
Citation in format AMSBIB
\Bibitem{BabDemSam07}
\by V.~M.~Babich, D.~B.~Dement'ev, B.~A.~Samokish
\paper On the calculations of Legendre functions
\inbook Mathematical problems in the theory of wave propagation. Part~36
\serial Zap. Nauchn. Sem. POMI
\yr 2007
\vol 342
\pages 14--30
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl120}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2365107}
\zmath{https://zbmath.org/?q=an:1185.33029}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2008
\vol 148
\issue 5
\pages 639--649
\crossref{https://doi.org/10.1007/s10958-008-0014-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-38349119942}
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  • https://www.mathnet.ru/eng/znsl/v342/p14
    • This publication is cited in the following 1 articles:
    1. I. A. Ibragimov, A. M. Il'in, A. P. Kiselev, S. V. Kislyakov, L. D. Faddeev, “Vasilii Mikhailovich Babich (on his eightieth birthay)”, Russian Math. Surveys, 66:1 (2011), 205–208  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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