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Volumn 9, Issue 3, 2002, Pages 413-422

On Obtaining Dual Sequences Via Quasi-Monomiality

Author keywords

41A10; 41A58; Boas Buck polynomials; dual sequence; expansion theorem; generalized Taylor series; Polynomial set; quasi monomiality

Indexed keywords


EID: 0012784125     PISSN: 1072947X     EISSN: 15729176     Source Type: Journal    
DOI: 10.1515/GMJ.2002.413     Document Type: Article
Times cited : (33)

References (16)
  • 1
    • 0035418011 scopus 로고    scopus 로고
    • Solving connection and linearization problems within the Askey scheme and its q-analogue via inversion formulas
    • I. Area, E. Godoy, A. Ronveaux, and A. Zarzo, Solving connection and linearization problems within the Askey scheme and its q-analogue via inversion formulas. J. Comput. Appl. Math. 133(2001), 151-162.
    • (2001) J. Comput. Appl. Math. , vol.133 , pp. 151-162
    • Area, I.1    Godoy, E.2    Ronveaux, A.3    Zarzo, A.4
  • 2
    • 85026088245 scopus 로고    scopus 로고
    • Some results on quasi-monomiality
    • (to appear).
    • Y. Ben Cheikh, Some results on quasi-monomiality. Appl. Math. Comput. (to appear).
    • Appl. Math. Comput.
    • Ben Cheikh, Y.1
  • 4
    • 0346908253 scopus 로고
    • Interpolation series
    • R. C. Buck, Interpolation series. Trans. Amer. Math. Soc. 64(1948), 283-298.
    • (1948) Trans. Amer. Math. Soc. , vol.64 , pp. 283-298
    • Buck, R.C.1
  • 5
    • 0009352932 scopus 로고
    • Une caractérisation des polynômes d-orthogonaux classiques
    • K. Douak and P. Maroni, Une caractérisation des polynômes d-orthogonaux classiques. J. Approx. Theory 82(1995), 177-204.
    • (1995) J. Approx. Theory , vol.82 , pp. 177-204
    • Douak, K.1    Maroni, P.2
  • 6
    • 0345978406 scopus 로고    scopus 로고
    • A unified calculus using the generalized Bernoulli polynomials
    • C. Frappier, A unified calculus using the generalized Bernoulli polynomials. J. Approx. Theory 109(2001), 279-313.
    • (2001) J. Approx. Theory , vol.109 , pp. 279-313
    • Frappier, C.1
  • 8
    • 0001585426 scopus 로고
    • L'orthogonalité et les récurrences de polynümes d'ordre supérieur à deux
    • P. Maroni, L'orthogonalité et les récurrences de polynümes d'ordre supérieur à deux. Ann. Fac. Sci. Toulouse Math. (6) 10(1989), No. 1, 105-139.
    • (1989) Ann. Fac. Sci. Toulouse Math. , vol.10 , Issue.1 , pp. 105-139
    • Maroni, P.1
  • 9
    • 18044405117 scopus 로고    scopus 로고
    • Towards Ψ-extension of finite operator calculus of Rota
    • A. K. Kwaśniewski, Towards Ψ-extension of finite operator calculus of Rota. Rep. Math. Phys. 48(2001), 305-342.
    • (2001) Rep. Math. Phys. , vol.48 , pp. 305-342
    • Kwaśniewski, A.K.1
  • 10
    • 0002748953 scopus 로고
    • The theory of the umbral calculus I.
    • S. Roman, The theory of the umbral calculus, I. J. Math. Anal. Appl. 87(1982), 57-115.
    • (1982) J. Math. Anal. Appl. , vol.87 , pp. 57-115
    • Roman, S.1
  • 11
    • 49549163193 scopus 로고
    • On the foundations of combinatorial theory. VIII. Finite operator calculus
    • G.-C. Rota, D. Kahaner, and A. Odlyzko, On the foundations of combinatorial theory. VIII. Finite operator calculus. J. Math. Anal. Appl. 42(1973), 684-760.
    • (1973) J. Math. Anal. Appl. , vol.42 , pp. 684-760
    • Rota, G.-C.1    Kahaner, D.2    Odlyzko, A.3
  • 12
    • 0035417821 scopus 로고    scopus 로고
    • Some connection and linearization problems for polynomials in and beyond the Askey scheme
    • J. Sánchez-Ruiz and J. S. Dehesa, Some connection and linearization problems for polynomials in and beyond the Askey scheme. J. Comput. Appl. Math. 133(2001), 579-591.
    • (2001) J. Comput. Appl. Math. , vol.133 , pp. 579-591
    • Sánchez-Ruiz, J.1    Dehesa, J.S.2
  • 13
    • 14844348741 scopus 로고
    • The poweroid, an extension of the mathematical notion of power
    • J. F. Steffensen, The poweroid, an extension of the mathematical notion of power. Acta Math. 73(1941), 333-366.
    • (1941) Acta Math. , vol.73 , pp. 333-366
    • Steffensen, J.F.1
  • 14
    • 0023378740 scopus 로고
    • Iseghem, Vector orthogonal relations. Vector QD-algorithm
    • J. Van Iseghem, Vector orthogonal relations. Vector QD-algorithm, J. Comput. Appl. Math. 19(1987), 141-150.
    • (1987) J. Comput. Appl. Math. , vol.19 , pp. 141-150
    • Van, J.1
  • 15
  • 16
    • 0003947483 scopus 로고
    • Cambridge Tracts in Mathematics and Mathematical Physics 33, Cambridge University Press, London.
    • J. M. Whittaker, Interpolatory function theory. Cambridge Tracts in Mathematics and Mathematical Physics 33, Cambridge University Press, London, 1935.
    • (1935) Interpolatory function theory.
    • Whittaker, J.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.