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Volumn 9, Issue 5, 2003, Pages 503-533

Generalized stirling functions of second kind and representations of fractional order differences via derivatives

Author keywords

Differences of fractional order; Generalized Stirling functions of second kind; Liouville fractional integrals and derivatives; Stirling numbers of second kind

Indexed keywords


EID: 0037572322     PISSN: 10236198     EISSN: None     Source Type: Journal    
DOI: 10.1080/1023619031000112514     Document Type: Article
Times cited : (10)

References (16)
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    • Butzer, P.L.1    Hauss, M.2
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    • Stirling functions of first and second kind, some new applications
    • Approximation, Interpolation and Summability (Ramat Aviv, 1990/Ramat Gan,1990), Israel Math. Conf.
    • P. L. Butzer and M. Hauss, Stirling functions of first and second kind, some new applications. Approximation, Interpolation and Summability (Ramat Aviv, 1990/Ramat Gan,1990), Israel Math. Conf. Proc., Bar-Han Univ., Ramat. Gan, 4, pp. 89-108, 1991.
    • (1991) Proc., Bar-Han Univ., Ramat. Gan , vol.4 , pp. 89-108
    • Butzer, P.L.1    Hauss, M.2
  • 6
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    • Applications of sampling theory to combinatorical analysis, Stirling numbers, special functions and the Riemann zeta function
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    • P. L. Butzer and M. Hauss, Applications of sampling theory to combinatorical analysis, Stirling numbers, special functions and the Riemann zeta function. In: J. R. Higgins and R. L. Stens, eds, Sampling Theory in Fourier Analysis: Advanced Topics, Oxford University Press, Oxford, pp. 1-37, 1999.
    • (1999) Sampling Theory in Fourier Analysis: Advanced Topics , pp. 1-37
    • Butzer, P.L.1    Hauss, M.2
  • 7
    • 33846827543 scopus 로고
    • Factorial functions and Stirling numbers of fractional orders
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    • (1989) Results Math. , vol.16 , Issue.1-2 , pp. 16-48
    • Butzer, P.L.1    Hauss, M.2    Schmidt, M.3
  • 8
    • 0036575276 scopus 로고    scopus 로고
    • Fractional calculus in the Mellin setting and Hadamard-typefractional integrals
    • P. L. Butzer, A. A. Kilbas and J. J. Trujillo, Fractional calculus in the Mellin setting and Hadamard-typefractional integrals, J. Math. Anal. Appl., 269(1) (2002), 1-27.
    • (2002) J. Math. Anal. Appl. , vol.269 , Issue.1 , pp. 1-27
    • Butzer, P.L.1    Kilbas, A.A.2    Trujillo, J.J.3
  • 12
    • 0032676867 scopus 로고    scopus 로고
    • On Stirling numbers for complex arguments and Hankel contour polynomials
    • P. Flayolet and H. Prodinger, On Stirling numbers for complex arguments and Hankel contour polynomials, SIAM J. Discrete Math., 12(1) (1999), 155-159.
    • (1999) SIAM J. Discrete Math. , vol.12 , Issue.1 , pp. 155-159
    • Flayolet, P.1    Prodinger, H.2
  • 13
    • 0000412826 scopus 로고    scopus 로고
    • A unified approach to generalized Stirling numbers
    • L. C. Hsu and P. J.-S. Shiue, A unified approach to generalized Stirling numbers, Adv. Appl. Math., 20(3)(1998), 366-384.
    • (1998) Adv. Appl. Math. , vol.20 , Issue.3 , pp. 366-384
    • Hsu, L.C.1    Shiue, P.J.-S.2
  • 15
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    • Stirling numbers for complex arguments
    • R. Richmond and D. Merlini, Stirling numbers for complex arguments, SIAM J. Discrete Math., 10(1) (1997),73-82.
    • (1997) SIAM J. Discrete Math. , vol.10 , Issue.1 , pp. 73-82
    • Richmond, R.1    Merlini, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.