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On the Inductive Proof of Legendre Addition Theorem
Authors:Maleček  Kamil  Nádeník  Zbyněk
Affiliation:(1) Katedra matematiky stavební fakulty CVUT, Thákurova 7, 166 29 Praha 6;(2) Libocká 262-14, 162 00 Praha 6
Abstract: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.
Keywords:Legendre polynomials  Legendre associated functions  Legendre Addition Theorem  history  methodics
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