On the fourth order differential equation having orthogonal polynomials solutions직교다항식을 해로 갖는 4차 미분방정식에 관한 ATM망에서의 셀 손실율 제어에 관한 분석

Cited 0 time in webofscience Cited 0 time in scopus
  • Hit : 597
  • Download : 0
Necessary and sufficient conditions for an orthogonal polynomial system (OPS) to satisfy a differential equation with polynomial coefficients of form $$L_N[y]=\sum^N_{i=1}\ell_i(x)y^{(i)}(x)=\lambda_ny(x)$$ were found by H.L.Krall and he Classified orthogonal polynomials satisfying fourth order differential equation. Here, we find a necessary condition for the above differential equation with N=4 to have an OPS as solution and using the new condition, we classify all orthogonal polynomials satisfying the fourth order differential equation up to real change of variable.
Advisors
Kwon, Kil-Hyunresearcher권길현researcher
Description
한국과학기술원 : 수학과,
Publisher
한국과학기술원
Issue Date
1995
Identifier
98722/325007 / 000933321
Language
eng
Description

학위논문(석사) - 한국과학기술원 : 수학과, 1995.2, [ iii, 36 p. ]

URI
http://hdl.handle.net/10203/42409
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=98722&flag=dissertation
Appears in Collection
MA-Theses_Master(석사논문)
Files in This Item
There are no files associated with this item.

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0