Last Updated
：2025/11/30
Legendre's differential equation
Proper noun
Japanese Meaning
（数学）レジャンドル多項式を定義する微分方程式。式： d/dx[(1-x²)d/dxPₙ(x)] + n(n+1)Pₙ(x) = 0
Quizzes for review
(mathematics) The equation that defines the Legendre polynomials: d/dx[(1-x²)d/dxP_n(x)]+n(n+1)P_n(x)=0.
音声機能が動作しない場合はこちらをご確認ください
See correct answer
Legendre's differential equation
In the study of spherical harmonics, Legendre's differential equation arises naturally and its solutions form an orthogonal set of polynomials.
See correct answer
In the study of spherical harmonics, Legendre's differential equation arises naturally and its solutions form an orthogonal set of polynomials.
音声機能が動作しない場合はこちらをご確認ください
English - English
Word Edit Setting
- Users who have edit permission for words - All Users
- Screen new word creation
- Screen word edits
- Screen word deletion
- Screen the creation of new headword that may be duplicates
- Screen changing entry name
- Users authorized to vote on judging - Editor
- Number of votes required for decision - 1
Sentence Edit Setting
- Users who have edit permission for sentences - All Users
- Screen sentence deletion
- Users authorized to vote on judging - Editor
- Number of votes required for decision - 1
Quiz Edit Setting
- Users who have edit permission for quizzes - All Users
- Users authorized to vote on judging - Editor
- Number of votes required for decision - 1
