메뉴 건너뛰기
Discrete Mathematics
Volumn 270, Issue 1-3, 2003, Pages 279-289
Congruences for degenerate number sequences
Author keywords

Degenerate Eulerian polynomials; Degenerate weighted Stirling numbers; Kummer congruences; p adic integration; Partial Stirling numbers
Indexed keywords

FUNCTIONS; INTEGRATION; POLYNOMIALS; SET THEORY;
EID: 0042531828     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(02)00839-7     Document Type: Article
Times cited : (14)
References (20)
  • 1
    • 0011615634 scopus 로고
    • A finite difference approach to degenerate Bernoulli and Stirling polynomials
    • Adelberg A. A finite difference approach to degenerate Bernoulli and Stirling polynomials. Discrete Math. 140:1995;1-21.
    • (1995) Discrete Math. , vol.140 , pp. 1-21
    • Adelberg, A.1
  • 2
    • 0001856432 scopus 로고
    • Degenerate Stirling, Bernoulli, and Eulerian numbers
    • Carlitz L. Degenerate Stirling, Bernoulli, and Eulerian numbers. Utilitas Math. 15:1979;51-88.
    • (1979) Utilitas Math. , vol.15 , pp. 51-88
    • Carlitz, L.1
  • 3
    • 0013475484 scopus 로고
    • Weighted Stirling numbers of the first and second kind - I
    • Carlitz L. Weighted Stirling numbers of the first and second kind - I. Fibonacci Quart. 18:1980;147-162.
    • (1980) Fibonacci Quart. , vol.18 , pp. 147-162
    • Carlitz, L.1
  • 4
    • 0013479228 scopus 로고
    • Weighted Stirling numbers of the first and second kind - II
    • Carlitz L. Weighted Stirling numbers of the first and second kind - II. Fibonacci Quart. 18:1980;242-257.
    • (1980) Fibonacci Quart. , vol.18 , pp. 242-257
    • Carlitz, L.1
  • 5
    • 0007886867 scopus 로고
    • On the differences of the generalized factorials at an arbitrary point and their combinatorial applications
    • Charalambides C., Koutras M. On the differences of the generalized factorials at an arbitrary point and their combinatorial applications. Discrete Math. 47:1983;183-201.
    • (1983) Discrete Math. , vol.47 , pp. 183-201
    • Charalambides, C.1    Koutras, M.2
  • 6
    • 84904259338 scopus 로고
    • A review of the Stirling numbers, their generalizations and statistical applications
    • Charalambides C., Singh J. A review of the Stirling numbers, their generalizations and statistical applications. Comm. Statist. Theory Methods. 17:1988;2533-2595.
    • (1988) Comm. Statist. Theory Methods , vol.17 , pp. 2533-2595
    • Charalambides, C.1    Singh, J.2
  • 7
    • 0042265365 scopus 로고
    • Hensel's lemma and the divisibility by primes of Stirling-like numbers
    • Clarke F. Hensel's lemma and the divisibility by primes of Stirling-like numbers. J. Number Theory. 52:1995;69-84.
    • (1995) J. Number Theory , vol.52 , pp. 69-84
    • Clarke, F.1
  • 8
    • 84968488631 scopus 로고
    • Divisibility by 2 of Stirling-like numbers
    • Davis D.M. Divisibility by 2 of Stirling-like numbers. Proc. Amer. Math. Soc. 110:1990;597-600.
    • (1990) Proc. Amer. Math. Soc. , vol.110 , pp. 597-600
    • Davis, D.M.1
  • 9
    • 0013212148 scopus 로고    scopus 로고
    • Some congruences concerning the Bell numbers
    • Gertsch A., Robert A. Some congruences concerning the Bell numbers. Bull. Belg. Math. Soc. 3:1996;467-475.
    • (1996) Bull. Belg. Math. Soc. , vol.3 , pp. 467-475
    • Gertsch, A.1    Robert, A.2
  • 10
    • 0013476801 scopus 로고
    • Degenerate weighted Stirling numbers
    • Howard F.T. Degenerate weighted Stirling numbers. Discrete Math. 57:1985;45-58.
    • (1985) Discrete Math. , vol.57 , pp. 45-58
    • Howard, F.T.1
  • 11
    • 0043263379 scopus 로고    scopus 로고
    • Explicit formulas for degenerate Bernoulli numbers
    • Howard F.T. Explicit formulas for degenerate Bernoulli numbers. Discrete Math. 162:1996;175-185.
    • (1996) Discrete Math. , vol.162 , pp. 175-185
    • Howard, F.T.1
  • 12
    • 0000412826 scopus 로고    scopus 로고
    • A unified approach to generalized Stirling numbers
    • Hsu L., Shiue P. A unified approach to generalized Stirling numbers. Adv. Appl. Math. 20:1998;366-384.
    • (1998) Adv. Appl. Math. , vol.20 , pp. 366-384
    • Hsu, L.1    Shiue, P.2
  • 13
    • 0013144096 scopus 로고    scopus 로고
    • On certain summation problems and generalizations of Eulerian polynomials and numbers
    • Hsu L., Shiue P. On certain summation problems and generalizations of Eulerian polynomials and numbers. Discrete Math. 204:1999;237-247.
    • (1999) Discrete Math. , vol.204 , pp. 237-247
    • Hsu, L.1    Shiue, P.2
  • 14
    • 0002792933 scopus 로고
    • Non-central Stirling numbers and some applications
    • Koutras M. Non-central Stirling numbers and some applications. Discrete Math. 42:1982;73-89.
    • (1982) Discrete Math. , vol.42 , pp. 73-89
    • Koutras, M.1
  • 15
    • 0002027805 scopus 로고
    • Eulerian numbers associated with sequences of polynomials
    • Koutras M. Eulerian numbers associated with sequences of polynomials. Fibonacci Quart. 32:1994;44-57.
    • (1994) Fibonacci Quart. , vol.32 , pp. 44-57
    • Koutras, M.1
  • 16
    • 0009311987 scopus 로고
    • A divisibility property of Stirling numbers
    • Lundell A. A divisibility property of Stirling numbers. J. Number Theory. 10:1978;35-54.
    • (1978) J. Number Theory , vol.10 , pp. 35-54
    • Lundell, A.1
  • 18
    • 0041366989 scopus 로고
    • On some congruences for the Bell numbers and for the Stirling numbers
    • Tsumura H. On some congruences for the Bell numbers and for the Stirling numbers. J. Number Theory. 38:1991;206-211.
    • (1991) J. Number Theory , vol.38 , pp. 206-211
    • Tsumura, H.1
  • 20
    • 0001002960 scopus 로고    scopus 로고
    • Congruences for Bernoulli, Euler, and Stirling numbers
    • Young P.T. Congruences for Bernoulli, Euler, and Stirling numbers. J. Number Theory. 78:1999;204-227.
    • (1999) J. Number Theory , vol.78 , pp. 204-227
    • Young, P.T.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.