"푸크스 미분방정식(Fuchsian differential equation)"의 두 판 사이의 차이
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<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">이 항목의 스프링노트 원문주소</h5> | <h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">이 항목의 스프링노트 원문주소</h5> | ||
| − | + | * [[#]]<br> | |
| 84번째 줄: | 84번째 줄: | ||
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">관련논문</h5> | <h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">관련논문</h5> | ||
| + | * [http://www.jstor.org/stable/2154053 Liouvillian First Integrals of Differential Equations]<br> | ||
| + | ** Michael F. Singer, Transactions of the American Mathematical Society, Vol. 333, No. 2 (Oct., 1992), pp. 673-688 | ||
| + | * [http://dx.doi.org/10.1007/3-540-15984-3_335 Elementary and Liouvillian solutions of linear differential equations]<br> | ||
| + | ** M. F. Singer and J. H. Davenport, 1985 | ||
* [http://www.jstor.org/stable/2374348 Some Applications of Linear Groups to Differential Equations]<br> | * [http://www.jstor.org/stable/2374348 Some Applications of Linear Groups to Differential Equations]<br> | ||
** Michael F. Singer and Marvin D. Tretkoff, American Journal of Mathematics, Vol. 107, No. 5 (Oct., 1985), pp. 1111-1121 | ** Michael F. Singer and Marvin D. Tretkoff, American Journal of Mathematics, Vol. 107, No. 5 (Oct., 1985), pp. 1111-1121 | ||
| 90번째 줄: | 94번째 줄: | ||
* [http://www.jstor.org/stable/2374045 Liouvillian Solutions of n-th Order Homogeneous Linear Differential Equations]<br> | * [http://www.jstor.org/stable/2374045 Liouvillian Solutions of n-th Order Homogeneous Linear Differential Equations]<br> | ||
** Michael F. SingerAmerican Journal of Mathematics, Vol. 103, No. 4 (Aug., 1981), pp. 661-682 | ** Michael F. SingerAmerican Journal of Mathematics, Vol. 103, No. 4 (Aug., 1981), pp. 661-682 | ||
| − | * Algebraic | + | * Algebraic Solutions of nth Order Linear Differential Equations<br> |
| − | ** M. Singer, | + | ** M. Singer, Proceedings of the Queen's University 1979 Conference on Number Theory, Queens Papers in Pure and Applied Mathematics, (54), pp. 379-420 |
* [http://www.jstor.org/stable/2373938 On Second Order Linear Differential Equations with Algebraic Solutions]<br> | * [http://www.jstor.org/stable/2373938 On Second Order Linear Differential Equations with Algebraic Solutions]<br> | ||
** F. Baldassari, B. Dwork, American Journal of Mathematics, Vol. 101, No. 1 (Feb., 1979), pp. 42-76 | ** F. Baldassari, B. Dwork, American Journal of Mathematics, Vol. 101, No. 1 (Feb., 1979), pp. 42-76 | ||
* http://www.jstor.org/action/doBasicSearch?Query=fuchsian+differential | * http://www.jstor.org/action/doBasicSearch?Query=fuchsian+differential | ||
* http://www.ams.org/mathscinet | * http://www.ams.org/mathscinet | ||
| − | * http://dx.doi.org/10.1007/ | + | * http://dx.doi.org/10.1007/3-540-15984-3_335 |
| 106번째 줄: | 110번째 줄: | ||
* [http://books.google.com/books?id=txinPHIegGgC Linear Differential Equations and Group Theory from Riemann to Poincare]<br> | * [http://books.google.com/books?id=txinPHIegGgC Linear Differential Equations and Group Theory from Riemann to Poincare]<br> | ||
** Jeremy J. Gray, 2008(2판) | ** Jeremy J. Gray, 2008(2판) | ||
| + | * [http://repository.kulib.kyoto-u.ac.jp/dspace/handle/2433/84920 Lectures on algebraic solutions of hypergeometric differential equations]<br> | ||
| + | ** Matsuda, Michihiko, 1985 | ||
* 도서내검색<br> | * 도서내검색<br> | ||
** http://books.google.com/books?q= | ** http://books.google.com/books?q= | ||
2010년 8월 13일 (금) 11:08 판
이 항목의 스프링노트 원문주소
개요
- 선형미분방정식
\(\frac{d^n w}{dz^n} + A_1(z)\frac{d^{n-1}w}{dz^{n-1}} + \cdots + A_{n-1}(z)\frac{dw}{dz} + A_n(z)w=0\)
모든 특이점이 정규특이점(regular singular points)인 경우, 이를 Fuchsian 미분방정식이라 한다 - 19세기에 많은 연구가 진행되었음
- 초기하 미분방정식(Hypergeometric differential equations) 은 대표적인 Fuchsian 미분방정식의 예이다
재미있는 사실
- Math Overflow http://mathoverflow.net/search?q=
- 네이버 지식인 http://kin.search.naver.com/search.naver?where=kin_qna&query=
역사
메모
관련된 항목들
수학용어번역
- 단어사전 http://www.google.com/dictionary?langpair=en%7Cko&q=
- 발음사전 http://www.forvo.com/search/
- 대한수학회 수학 학술 용어집
- 남·북한수학용어비교
- 대한수학회 수학용어한글화 게시판
사전 형태의 자료
- http://ko.wikipedia.org/wiki/
- http://en.wikipedia.org/wiki/
- http://www.proofwiki.org/wiki/
- http://www.wolframalpha.com/input/?i=
- NIST Digital Library of Mathematical Functions
- The On-Line Encyclopedia of Integer Sequences
관련논문
- Liouvillian First Integrals of Differential Equations
- Michael F. Singer, Transactions of the American Mathematical Society, Vol. 333, No. 2 (Oct., 1992), pp. 673-688
- Elementary and Liouvillian solutions of linear differential equations
- M. F. Singer and J. H. Davenport, 1985
- Some Applications of Linear Groups to Differential Equations
- Michael F. Singer and Marvin D. Tretkoff, American Journal of Mathematics, Vol. 107, No. 5 (Oct., 1985), pp. 1111-1121
- Logarithmic singularities of Fuchs equations, and a criterion for the monodromy group to be finite
- N. V. Grigorenko, MATHEMATICAL NOTESVolume 33, Number 6, 453-454
- Liouvillian Solutions of n-th Order Homogeneous Linear Differential Equations
- Michael F. SingerAmerican Journal of Mathematics, Vol. 103, No. 4 (Aug., 1981), pp. 661-682
- Algebraic Solutions of nth Order Linear Differential Equations
- M. Singer, Proceedings of the Queen's University 1979 Conference on Number Theory, Queens Papers in Pure and Applied Mathematics, (54), pp. 379-420
- On Second Order Linear Differential Equations with Algebraic Solutions
- F. Baldassari, B. Dwork, American Journal of Mathematics, Vol. 101, No. 1 (Feb., 1979), pp. 42-76
- http://www.jstor.org/action/doBasicSearch?Query=fuchsian+differential
- http://www.ams.org/mathscinet
- http://dx.doi.org/10.1007/3-540-15984-3_335
관련도서
- Linear Differential Equations and Group Theory from Riemann to Poincare
- Jeremy J. Gray, 2008(2판)
- Lectures on algebraic solutions of hypergeometric differential equations
- Matsuda, Michihiko, 1985
- 도서내검색
- 도서검색
관련기사
- 네이버 뉴스 검색 (키워드 수정)