메뉴 건너뛰기




Volumn 39, Issue 43, 2006, Pages 13445-13454

Criterion for polynomial solutions to a class of linear differential equations of second order

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33847198021     PISSN: 03054470     EISSN: 13616447     Source Type: Journal    
DOI: 10.1088/0305-4470/39/43/004     Document Type: Article
Times cited : (57)

References (21)
  • 1
    • 0000032737 scopus 로고
    • Über Sturm-liouvillesche Polynomsysteme
    • Bochner S 1929 Über Sturm-liouvillesche Polynomsysteme Math. Z. 29 730-6
    • (1929) Math. Z. , vol.29 , Issue.1 , pp. 730-736
    • Bochner, S.1
  • 2
    • 0000517640 scopus 로고    scopus 로고
    • A theorem of Bochner revisited
    • Grünbaum F A and Haine L 1997 A theorem of Bochner revisited Algebraic Aspects of Integrable Systems (Progr. Nonlinear Differential Equations Appl. vol 26) ed A S Fokas and I M Gelfand (Basle: Birkhäuser) pp 143-72
    • (1997) Algebraic Aspects of Integrable Systems , pp. 143-172
    • Grünbaum, F.A.1    Haine, L.2
  • 3
    • 33947141911 scopus 로고
    • Study of differential equations of physics in the Hardy-Lebesgue space
    • Ifantis E K and Kouris C B 1972 Study of differential equations of physics in the Hardy-Lebesgue space J. Math. Phys. 13 1193-5
    • (1972) J. Math. Phys. , vol.13 , Issue.8 , pp. 1193-1195
    • Ifantis, E.K.1    Kouris, C.B.2
  • 4
    • 33947209371 scopus 로고
    • On polynomial solutions of linear differential equations with polynomial coefficients
    • Do Tan Si 1977 On polynomial solutions of linear differential equations with polynomial coefficients Am. J. Phys. 45 358-60
    • (1977) Am. J. Phys. , vol.45 , Issue.4 , pp. 358-360
    • Tan Si, D.1
  • 5
    • 0041149776 scopus 로고
    • Orthogonal polynomial solutions to ordinary and partial differential equations
    • Littlejohn L L 1988 Orthogonal polynomial solutions to ordinary and partial differential equations Orthogonal Polynomials and Their Applications (Lecture Notes in Mathematics vol 1329) ed M Alfaro, J S Dehesa, F J Marcellán, J L Rubio de Francia and J Vinuesa (Berlin: Springer)
    • (1988) Orthogonal Polynomials and Their Applications
    • Littlejohn, L.L.1
  • 6
    • 24544461644 scopus 로고
    • Normalizability of one-dimensional quasi-exactly solvable Schrödinger operators
    • Gonzales-Lopez Artemio, Kamran N and Peter Olver J 1993 Normalizability of one-dimensional quasi-exactly solvable Schrödinger operators Commun. Math. Phys. 153 117-46
    • (1993) Commun. Math. Phys. , vol.153 , Issue.1 , pp. 117-146
    • Artemio, G.1    Kamran, N.2    Peter Olver, J.3
  • 7
    • 21144480036 scopus 로고
    • On polynomial solutions of differential equations
    • Turbiner A 1992 On polynomial solutions of differential equations J. Math. Phys. 33 3989-93
    • (1992) J. Math. Phys. , vol.33 , Issue.12 , pp. 3989-3993
    • Turbiner, A.1
  • 8
    • 0000305646 scopus 로고
    • Lie algebras and polynomials in one variable
    • Turbiner A 1992 Lie algebras and polynomials in one variable J. Phys. A: Math. Gen. 25 L1087-93
    • (1992) J. Phys. A: Math. Gen. , vol.25 , Issue.18
    • Turbiner, A.1
  • 9
    • 0002803522 scopus 로고
    • Characterization theorems for orthogonal polynomials
    • Al-Salam W A 1990 Characterization theorems for orthogonal polynomials Orthogonal Polynomials: Theory and Practice (NATO ASI Series C vol 294) ed P Nevai (Dordrecht: Kluwer) pp 1-24
    • (1990) Orthogonal Polynomials: Theory and Practice , pp. 1-24
    • Al-Salam, W.A.1
  • 11
    • 0345581640 scopus 로고    scopus 로고
    • Asymptotic iteration method for eigenvalue problems
    • Ciftci H, Hall R L and Saad N 2003 Asymptotic iteration method for eigenvalue problems J. Phys. A: Math. Gen. 36 11807-16
    • (2003) J. Phys. A: Math. Gen. , vol.36 , Issue.47 , pp. 11807-11816
    • Ciftci, H.1    Hall, R.L.2    Saad, N.3
  • 12
    • 3042677635 scopus 로고    scopus 로고
    • On an iteration method for eigenvalue problems
    • Fernández M F 2004 On an iteration method for eigenvalue problems J. Phys. A: Math. Gen. 37 6173
    • (2004) J. Phys. A: Math. Gen. , vol.37 , Issue.23 , pp. 6173
    • Fernández, M.F.1
  • 13
    • 13744252793 scopus 로고    scopus 로고
    • Construction of exact solutions to eigenvalue problems by the asymptotic iteration method
    • Ciftci H, Hall R L and Saad N 2005 Construction of exact solutions to eigenvalue problems by the asymptotic iteration method J. Phys. A: Math. Gen. 38 1147-55
    • (2005) J. Phys. A: Math. Gen. , vol.38 , Issue.5 , pp. 1147-1155
    • Ciftci, H.1    Hall, R.L.2    Saad, N.3
  • 14
    • 19444381218 scopus 로고    scopus 로고
    • Perturbation theory in a framework of iteration methods
    • Ciftci H, Hall R L and Saad N 2005 Perturbation theory in a framework of iteration methods Phys. Lett. A 340 388-96
    • (2005) Phys. Lett. , vol.340 , Issue.5-6 , pp. 388-396
    • Ciftci, H.1    Hall, R.L.2    Saad, N.3
  • 15
    • 24044480977 scopus 로고    scopus 로고
    • The asymptotic iteration method for the eigenenergies of the anharmonic oscillator potential
    • Barakat T 2005 The asymptotic iteration method for the eigenenergies of the anharmonic oscillator potential Phys. Lett. A 344 411
    • (2005) Phys. Lett. , vol.344 , Issue.6 , pp. 411
    • Barakat, T.1
  • 16
    • 24044515183 scopus 로고    scopus 로고
    • The asymptotic iteration method for the angular spheroidal eigenvalues
    • Barakat T, Abodayeh K and Mukheimer A 2005 The asymptotic iteration method for the angular spheroidal eigenvalues J. Phys. A: Math. Gen. 38 1299
    • (2005) J. Phys. A: Math. Gen. , vol.38 , Issue.6 , pp. 1299
    • Barakat, T.1    Abodayeh, K.2    Mukheimer, A.3
  • 18
    • 33646879408 scopus 로고    scopus 로고
    • Arbitrary ℓ-state solutions of the rotating Morse potential by the asymptotic iteration method
    • Bayrak O and Boztosun I 2006 Arbitrary ℓ-state solutions of the rotating Morse potential by the asymptotic iteration method J. Phys. A: Math. Gen. 39 6955
    • (2006) J. Phys. A: Math. Gen. , vol.39 , Issue.22 , pp. 6955
    • Bayrak, O.1    Boztosun, I.2
  • 20
    • 84966227705 scopus 로고
    • A new class of orthogonal polynomials: The Bessel polynomials
    • Krall H L and Frink O 1949 A new class of orthogonal polynomials: the Bessel polynomials Trans. Am. Math. Soc. 65 100-15
    • (1949) Trans. Am. Math. Soc. , vol.65 , Issue.1 , pp. 100-115
    • Krall, H.L.1    Frink, O.2
  • 21
    • 33745303758 scopus 로고    scopus 로고
    • Sextic anharmonic oscillators and orthogonal polynomials
    • Saad N, Hall R L and Ciftci H 2006 Sextic anharmonic oscillators and orthogonal polynomials J. Phys. A: Math. Gen. 39 8477-86
    • (2006) J. Phys. A: Math. Gen. , vol.39 , Issue.26 , pp. 8477-8486
    • Saad, N.1    Hall, R.L.2    Ciftci, H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.