메뉴 건너뛰기




Volumn 2003, Issue 3, 2003, Pages 155-163

A generalization of the Bernoulli polynomials

Author keywords

[No Author keywords available]

Indexed keywords


EID: 4744345928     PISSN: 1110757X     EISSN: 16870042     Source Type: Journal    
DOI: 10.1155/S1110757X03204101     Document Type: Article
Times cited : (81)

References (16)
  • 1
    • 0009626343 scopus 로고
    • A propos d'une note de M. Pierre Humbert
    • French
    • R. P. Agarwal, A propos d'une note de M. Pierre Humbert, C. R. Acad. Sci. Paris Ser. A-B 236 (1953), 2031-2032 (French).
    • (1953) C. R. Acad. Sci. Paris Ser. A-B , vol.236 , pp. 2031-2032
    • Agarwal, R.P.1
  • 2
    • 0000884819 scopus 로고
    • Sur une classe de polynômes
    • French
    • P. Appell, Sur une classe de polynômes, Ann. Sci. École Norm. Sup. (2) 9 (1880), 119-144 (French).
    • (1880) Ann. Sci. École Norm. Sup. (2) , vol.9 , pp. 119-144
    • Appell, P.1
  • 3
  • 4
    • 4744355657 scopus 로고    scopus 로고
    • Differential equations for Appell type polynomials
    • G. Dattoli, P. E. Ricci, and C. Cesarano, Differential equations for Appell type polynomials, Fract. Calc. Appl. Anal. 5 (2002), no. 1, 69-75.
    • (2002) Fract. Calc. Appl. Anal. , vol.5 , Issue.1 , pp. 69-75
    • Dattoli, G.1    Ricci, P.E.2    Cesarano, C.3
  • 5
    • 0039489959 scopus 로고    scopus 로고
    • Representation formulas for entire functions of exponential type and generalized Bernoulli polynomials
    • C. Frappier, Representation formulas for entire functions of exponential type and generalized Bernoulli polynomials, J. Austral. Math. Soc. Ser. A 64 (1998), no. 3, 307-316.
    • (1998) J. Austral. Math. Soc. Ser. A , vol.64 , Issue.3 , pp. 307-316
    • Frappier, C.1
  • 6
    • 0005012414 scopus 로고
    • Unione Tipografico-Editrice Torinese (UTET), Torin, (Italian)
    • L. Gatteschi, Funzioni Speciali, Unione Tipografico-Editrice Torinese (UTET), Torin, 1973 (Italian).
    • (1973) Funzioni Speciali
    • Gatteschi, L.1
  • 8
    • 85006498478 scopus 로고    scopus 로고
    • Differential equations of some classes of special functions via the factorization method
    • to appear
    • M. X. He and P. E. Ricci, Differential equations of some classes of special functions via the factorization method, to appear in J. Comput. Anal. Appl.
    • J. Comput. Anal. Appl.
    • He, M.X.1    Ricci, P.E.2
  • 9
    • 0037083038 scopus 로고    scopus 로고
    • Differential equation of Appell polynomials via the factorization method
    • M. X. He and P. E. Ricci, Differential equation of Appell polynomials via the factorization method, J. Comput. Appl. Math. 139 (2002), no. 2, 231-237.
    • (2002) J. Comput. Appl. Math. , vol.139 , Issue.2 , pp. 231-237
    • He, M.X.1    Ricci, P.E.2
  • 10
    • 11244299230 scopus 로고
    • The factorization method
    • L. Infeld and T. E. Hull, The factorization method, Rev. Modern Phys. 23 (1951), 21-68.
    • (1951) Rev. Modern Phys. , vol.23 , pp. 21-68
    • Infeld, L.1    Hull, T.E.2
  • 11
    • 4744370910 scopus 로고
    • A generalization of Bernoulli numbers and polynomials
    • B. Nath, A generalization of Bernoulli numbers and polynomials, Ganita 19 (1968), no. 1, 9-12.
    • (1968) Ganita , vol.19 , Issue.1 , pp. 9-12
    • Nath, B.1
  • 12
    • 0003244044 scopus 로고    scopus 로고
    • Fractional differential equations
    • Academic Press, California
    • I. Podlubny, Fractional Differential Equations, Mathematics in Science and Engineering, vol. 198, Academic Press, California, 1999.
    • (1999) Mathematics in Science and Engineering , vol.198
    • Podlubny, I.1
  • 14
    • 0040393539 scopus 로고
    • A differential equation for Appell polynomials
    • I. M. Sheffer, A differential equation for Appell polynomials, Bull. Amer. Math. Soc. 41 (1935), 914-923.
    • (1935) Bull. Amer. Math. Soc. , vol.41 , pp. 914-923
    • Sheffer, I.M.1
  • 16
    • 84972505227 scopus 로고
    • The asymptotic expansion of a ratio of gamma functions
    • F. G. Tricomi and A. Erdélyi, The asymptotic expansion of a ratio of gamma functions, Pacific J. Math. 1 (1951), 133-142.
    • (1951) Pacific J. Math. , vol.1 , pp. 133-142
    • Tricomi, F.G.1    Erdélyi, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.