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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. 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

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 $P_\nu^{-m}(x)$ $-1<x\le1$, $\nu\in\mathbb C$, $m\in\mathbb Z_+$.

UDC: 517.564, 518.61

Received: 05.05.2007


 English version:
Journal of Mathematical Sciences (New York), 2008, 148:5, 639–649

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