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Volumn 1, Issue 1, 2007, Pages 311-323

Fractional integrals and derivatives in q-calculus

Author keywords

Basic hypergeometric functions; Fractional calculus; q derivative; q integral

Indexed keywords


EID: 70350404728     PISSN: 14528630     EISSN: None     Source Type: Journal    
DOI: 10.2298/AADM0701311R     Document Type: Article
Times cited : (275)

References (11)
  • 1
    • 84971113538 scopus 로고
    • Certain fractional q-integrals and q-derivatives
    • R. P. Agarwal. Certain fractional q-integrals and q-derivatives. Proc. Camb. Phil. Soc., 66 (1969), 365-370.
    • (1969) Proc. Camb. Phil. Soc. , vol.66 , pp. 365-370
    • Agarwal, R.P.1
  • 2
    • 84974177889 scopus 로고
    • Some fractional q-integrals and q-derivatives
    • W. A. Al-Salam. Some fractional q-integrals and q-derivatives. Proc. Edin. Math. Soc., 15 (1966), 135-140.
    • (1966) Proc. Edin. Math. Soc. , vol.15 , pp. 135-140
    • Al-Salam, W.A.1
  • 3
    • 84966246297 scopus 로고
    • q-Analogues of Cauchy's Formulas
    • W. A. Al-Salam. q-Analogues of Cauchy's Formulas. Proc. Amer. Math. Soc., 17, No. 3 (1966), 616-621.
    • (1966) Proc. Amer. Math. Soc. , vol.17 , Issue.3 , pp. 616-621
    • Al-Salam, W.A.1
  • 5
    • 0004216016 scopus 로고    scopus 로고
    • 2nd ed. Encyclopedia of Mathematics and its Applications 96 Cambridge University Press Cambridge
    • G. Gasper, M. Rahman. Basic Hypergeometric Series, 2nd ed. Encyclopedia of Mathematics and its Applications, 96, Cambridge University Press, Cambridge, 2004.
    • (2004) Basic Hypergeometric Series
    • Gasper, G.1    Rahman, M.2
  • 7
    • 78650946265 scopus 로고
    • 169 Berichte der Mathe-matisch-Statistischen Section im Forschungszentrum Graz
    • W. Hahn. "Lineare Geometrische Differenzengleichungen", 169 Berichte der Mathe-matisch-Statistischen Section im Forschungszentrum Graz, 1981.
    • (1981) Lineare Geometrische Differenzengleichungen
    • Hahn, W.1
  • 8
    • 5044240397 scopus 로고    scopus 로고
    • q-Taylor theorems, polynomial expansions, and inter-polation of entier functions
    • M. E. H. Ismail, D. Stanton. q-Taylor theorems, polynomial expansions, and inter-polation of entier functions. J. Approx. Theory, 123 (2003), 125-146.
    • (2003) J. Approx. Theory , vol.123 , pp. 125-146
    • Ismail, M.E.H.1    Stanton, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.