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Dokl. Akad. Nauk SSSR, 1957, Volume 113, Number 5, Pages 970–973 (Mi dan21822)  

This article is cited in 10 scientific papers (total in 10 papers)

MATHEMATICS

On a continuous analogue of a Christoffel formula from the theory of orthogonal polynomials

M. G. Krein

Odessa Hydrotechnical Institute

Full text: PDF file (542 kB)

Bibliographic databases:
Presented: А. Н. Колмогоров
Received: 24.09.1956

Citation: M. G. Krein, “On a continuous analogue of a Christoffel formula from the theory of orthogonal polynomials”, Dokl. Akad. Nauk SSSR, 113:5 (1957), 970–973

Citation in format AMSBIB
\Bibitem{Kre57}
\by M.~G.~Krein
\paper On a continuous analogue of a Christoffel formula from the theory of orthogonal polynomials
\jour Dokl. Akad. Nauk SSSR
\yr 1957
\vol 113
\issue 5
\pages 970--973
\mathnet{http://mi.mathnet.ru/dan21822}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=0091396}
\zmath{https://zbmath.org/?q=an:0151.11202}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. I. V. Poplavskii, “Generalized Darboux–Crum–Krein transformations”, Theoret. and Math. Phys., 69:3 (1986), 1278–1282  mathnet  crossref  mathscinet  isi
    2. V. G. Bagrov, B. F. Samsonov, “Darboux transformation, factorization, supersymmetry in one-dimensional quantum mechanics”, Theoret. and Math. Phys., 104:2 (1995), 1051–1060  mathnet  crossref  mathscinet  zmath  isi
    3. B. F. Samsonov, “On the $N$-th order Darboux transformation”, Russian Math. (Iz. VUZ), 43:6 (1999), 62–65  mathnet  mathscinet  zmath
    4. Andrey M. Pupasov, Boris F. Samsonov, “Exact Propagators for Soliton Potentials”, SIGMA, 1 (2005), 020, 7 pp.  mathnet  crossref  mathscinet  zmath
    5. A. A. Andrianov, A. V. Sokolov, “Factorization of nonlinear supersymmetry in one-dimensional Quantum Mechanics I: general classification of reducibility and analysis of third-order algebra”, J. Math. Sci. (N. Y.), 143:1 (2007), 2707–2722  mathnet  crossref  mathscinet  zmath  elib  elib
    6. A. V. Sokolov, “Factorization of nonlinear supersymmetry in one-dimensional quantum mechanics II: proofs of theorems on reducibility”, J. Math. Sci. (N. Y.), 151:2 (2008), 2924–2936  mathnet  crossref  mathscinet  elib
    7. E. O. Pozdeeva, “A new two-parameter family of exactly solvable Dirac Hamiltonians”, Theoret. and Math. Phys., 159:2 (2009), 618–626  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    8. Christiane Quesne, “Novel enlarged shape invariance property and exactly solvable rational extensions of the Rosen–Morse II and Eckart potentials”, SIGMA, 8 (2012), 080, 19 pp.  mathnet  crossref  mathscinet
    9. Ryu Sasaki, Kouchi Takemura, “Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity”, SIGMA, 8 (2012), 085, 18 pp.  mathnet  crossref  mathscinet
    10. Yves Grandati, Christiane Quesne, “Confluent Chains of DBT: Enlarged Shape Invariance and New Orthogonal Polynomials”, SIGMA, 11 (2015), 061, 26 pp.  mathnet  crossref  mathscinet
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