On the Inductive Proof of Legendre Addition Theorem

被引：0
作者：
Kamil Maleček
Zbyněk Nádeník
机构：
[1] Katedra matematiky stavební fakulty CVUT,
来源：
Studia Geophysica et Geodaetica | 2001年 / 45卷
关键词：
Legendre polynomials; Legendre associated functions; Legendre Addition Theorem; history; methodics;
D O I：
暂无
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学科分类号：
摘要：
Various proofs of the Legendre Addition Theorem, as they appear in the mathematical literature, are outlined. The proof of the mentioned theorem, based on the induction method, is analyzed in detail.
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页码：1 / 11
页数：10
相关论文
共 5 条
  • [1] Heine E.(1861)Addition Theorems for General Legendre and Gegenbauer Functions Handbuch der Kugelfunctionen I 1878-1018
  • [2] Henrici P.(1955)On the addition theorem for Legendre polgnomials Journal of Rational Mech. and Anal. 4 983-45
  • [3] Novotný O.(1982)Simplified theory of series for the gravitational and geomagnetic potential Travaux Géophysiques 30 33-353
  • [4] Novotný O.(1983)Theorie der Kugelfunktionen und der verwandten Funktionen Studia geoph. et geod. 27 346-759
  • [5] Wangerin A.(1904)undefined Encyklopädie dermath. Wissenschaften II 699-undefined
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