메뉴 건너뛰기




Volumn 68, Issue 1-2, 1996, Pages 15-23

Pfaff's method (II): Diverse applications

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; DIFFERENTIAL EQUATIONS; NONLINEAR EQUATIONS; NUMERICAL METHODS;

EID: 0030125353     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-0427(95)00258-8     Document Type: Article
Times cited : (14)

References (21)
  • 1
    • 84972569332 scopus 로고
    • On the q-analog of Kummer's theorem and applications
    • G.E. Andrews, On the q-analog of Kummer's theorem and applications, Duke Math. J. 40 (1973) 525-528.
    • (1973) Duke Math. J. , vol.40 , pp. 525-528
    • Andrews, G.E.1
  • 2
    • 0002621685 scopus 로고
    • Connection coefficient problems and partitions
    • G.E. Andrews, Connection coefficient problems and partitions, Proc. Symp. Pure Math. 34 (1979) 1-24.
    • (1979) Proc. Symp. Pure Math. , vol.34 , pp. 1-24
    • Andrews, G.E.1
  • 3
    • 0010783163 scopus 로고
    • Plane partitions III: The weak macdonald conjecture
    • G.E. Andrews, Plane partitions III: the weak Macdonald conjecture, Invent. Math. 53 (1979) 193-225.
    • (1979) Invent. Math. , vol.53 , pp. 193-225
    • Andrews, G.E.1
  • 4
    • 85030051287 scopus 로고    scopus 로고
    • Pfaff's method I: The mills Robbins Rumsey determinant
    • to appear
    • G.E. Andrews, Pfaff's method I: the Mills Robbins Rumsey determinant, Discrete Math., to appear.
    • Discrete Math.
    • Andrews, G.E.1
  • 7
    • 0043179722 scopus 로고
    • 1
    • Ramanujan Colloquium, Bombay Oxford Univ. Press, Oxford
    • 1, in: Number Theory and Related Topics, Ramanujan Colloquium, Bombay (Oxford Univ. Press, Oxford, 1989) 1-12.
    • (1989) Number Theory and Related Topics , pp. 1-12
    • Askey, R.1
  • 8
    • 0041812780 scopus 로고
    • Some identities involving generalized hypergeometric series
    • W.N. Bailey, Some identities involving generalized hypergeometric series, Proc. London Math. Soc. Ser. (2) 29 (1929) 503-516.
    • (1929) Proc. London Math. Soc. Ser. , vol.29 , Issue.2 , pp. 503-516
    • Bailey, W.N.1
  • 9
    • 0004209845 scopus 로고
    • Cambridge Univ. Press, London and New York, Reprinted: Hafner, New York
    • W.N. Bailey, Generalized Hypergeometric Series (Cambridge Univ. Press, London and New York, 1935) (Reprinted: Hafner, New York, 1964).
    • (1935) Generalized Hypergeometric Series
    • Bailey, W.N.1
  • 10
    • 84963093092 scopus 로고
    • The theorems of Saalschutz and Dougall
    • J.L. Burchnall and A. Lakin, The theorems of Saalschutz and Dougall, Quart. J. Math. Oxford (2) 1 (1950) 161-164.
    • (1950) Quart. J. Math. Oxford , vol.1 , Issue.2 , pp. 161-164
    • Burchnall, J.L.1    Lakin, A.2
  • 11
    • 0007931752 scopus 로고
    • The basic analog of Kummer's theorem
    • J.A. Daum, The basic analog of Kummer's theorem, Bull. Amer. Math. Soc. 48 (1942) 711-713.
    • (1942) Bull. Amer. Math. Soc. , vol.48 , pp. 711-713
    • Daum, J.A.1
  • 12
    • 84958735434 scopus 로고
    • On Vandermonde's theorem and some more general expansions
    • J. Dougall, On Vandermonde's theorem and some more general expansions, Proc. Edin. Math. Soc. 25 (1907) 114-132.
    • (1907) Proc. Edin. Math. Soc. , vol.25 , pp. 114-132
    • Dougall, J.1
  • 13
    • 0001128085 scopus 로고
    • Strange evaluations of hypergeometric series
    • I. Gessel and D. Stanton, Strange evaluations of hypergeometric series, SIAM J. Math. Anal. 13 (1982) 295-308.
    • (1982) SIAM J. Math. Anal. , vol.13 , pp. 295-308
    • Gessel, I.1    Stanton, D.2
  • 14
    • 0000437438 scopus 로고
    • Transformations of q-series
    • F.H. Jackson, Transformations of q-series, Messenger Math. 39 (1910) 145-153.
    • (1910) Messenger Math. , vol.39 , pp. 145-153
    • Jackson, F.H.1
  • 15
    • 0001311498 scopus 로고
    • Summation of q-hypergeometric series
    • F.H. Jackson, Summation of q-hypergeometric series, Messenger Math. 50 (1921) 101-112.
    • (1921) Messenger Math. , vol.50 , pp. 101-112
    • Jackson, F.H.1
  • 16
    • 84962984539 scopus 로고
    • A hypergeometric identity related to Dougall's theorem
    • A. Lakin, A hypergeometric identity related to Dougall's theorem, J. London Math. Soc. 27 (1952) 229-234.
    • (1952) J. London Math. Soc. , vol.27 , pp. 229-234
    • Lakin, A.1
  • 17
    • 0003019880 scopus 로고
    • Enumeration of a symmetry class of plane partitions
    • W.H. Mills, D.P. Robbins and H. Rumsey, Enumeration of a symmetry class of plane partitions, Discrete Math. 67 (1987) 43-55.
    • (1987) Discrete Math. , vol.67 , pp. 43-55
    • Mills, W.H.1    Robbins, D.P.2    Rumsey, H.3
  • 19
    • 0042784809 scopus 로고
    • J.F. Pfaff, Observationes analyticae ad L. Euler Institutiones Calculi Integralis, Vol. IV, Supplem. II et IV, Historia de 1793, Nova Acta Acad. Sci. Petropolitanae 11 (1797) 38-57.
    • (1797) Nova Acta Acad. Sci. Petropolitanae , vol.11 , pp. 38-57
  • 20
    • 0043286002 scopus 로고
    • Eine summationsformel
    • L. Saalschultz, Eine Summationsformel, Z. Math. Phys. 35 (1890) 186-188.
    • (1890) Z. Math. Phys. , vol.35 , pp. 186-188
    • Saalschultz, L.1
  • 21
    • 84968468378 scopus 로고
    • Rational functions certify combinatorial identities
    • H.S. Wilf and D. Zeilberger, Rational functions certify combinatorial identities, J. Amer. Math. Soc. 3 (1990) 147-158.
    • (1990) J. Amer. Math. Soc. , vol.3 , pp. 147-158
    • Wilf, H.S.1    Zeilberger, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.