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Volumn 36, Issue 3, 2002, Pages 303-318

Reasoning about the elementary functions of complex analysis

Author keywords

Branch cuts; Complex identities; Elementary functions

Indexed keywords


EID: 0141790796     PISSN: 10122443     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1016007415899     Document Type: Article
Times cited : (20)

References (18)
  • 2
    • 85017277246 scopus 로고
    • Algebraic simplification of multiple-valued functions
    • ed. J.P. Fitch, Lecture Notes in Computer Science (Springer, New York)
    • R.J. Bradford, Algebraic simplification of multiple-valued functions, in: Proc. DISCO'92, ed. J.P. Fitch, Lecture Notes in Computer Science, Vol. 721 (Springer, New York, 1993) pp. 13-21.
    • (1993) Proc. DISCO'92 , vol.721 , pp. 13-21
    • Bradford, R.J.1
  • 4
    • 84974715698 scopus 로고    scopus 로고
    • Reasoning about the elementary functions of complex analysis
    • eds. J.A. Campbell and E. Roanes-Lozano, Lecture Notes in Artificial Intelligence (Springer, New York)
    • R.M. Corless, J.H. Davenport, D.J. Jeffrey, G. Litt and S.M. Watt, Reasoning about the elementary functions of complex analysis, in: Artificial Intelligence and Symbolic Computation, eds. J.A. Campbell and E. Roanes-Lozano, Lecture Notes in Artificial Intelligence, Vol. 1930 (Springer, New York, 2001) pp. 115-126.
    • (2001) Artificial Intelligence and Symbolic Computation , vol.1930 , pp. 115-126
    • Corless, R.M.1    Davenport, J.H.2    Jeffrey, D.J.3    Litt, G.4    Watt, S.M.5
  • 7
    • 0039702881 scopus 로고    scopus 로고
    • Graphing elementary Riemann surfaces
    • R.M. Corless and D.J. Jeffrey, Graphing elementary Riemann surfaces, SIGSAM Bulletin 32(1) (1998), 11-17.
    • (1998) SIGSAM Bulletin , vol.32 , Issue.1 , pp. 11-17
    • Corless, R.M.1    Jeffrey, D.J.2
  • 9
    • 0004263376 scopus 로고
    • Encyclopedia Britannica Inc., Chicago
    • Encyclopedia Britannica, 15th ed. (Encyclopedia Britannica Inc., Chicago, 1995).
    • (1995) Encyclopedia Britannica, 15th Ed.
  • 10
    • 0032350188 scopus 로고    scopus 로고
    • Riemann surfaces, plane algebraic curves and their period matrices
    • P. Gianni, M. Seppälä, R. Silhol and B.M. Trager, Riemann surfaces, plane algebraic curves and their period matrices, J. Symbolic Comput. 26 (1998) 789-803.
    • (1998) J. Symbolic Comput , vol.26 , pp. 789-803
    • Gianni, P.1    Seppälä, M.2    Silhol, R.3    Trager, B.M.4
  • 11
    • 0033645823 scopus 로고    scopus 로고
    • An exact real arithmetic with equality determination
    • ed. C. Traverso (ACM, New York)
    • N. Hur and J.H. Davenport, An exact real arithmetic with equality determination, in: Proc. ISSAC 2000, ed. C. Traverso (ACM, New York, 2000) pp. 169-174.
    • (2000) Proc. ISSAC 2000 , pp. 169-174
    • Hur, N.1    Davenport, J.H.2
  • 14
    • 0012062666 scopus 로고
    • Branch cuts for complex elementary functions
    • eds. A. Iserles and M.J.D. Powell (Clarendon Press, Oxford)
    • W. Kahan, Branch cuts for complex elementary functions, in: The State of Art in Numerical Analysis, eds. A. Iserles and M.J.D. Powell (Clarendon Press, Oxford, 1987) pp. 165-211.
    • (1987) The State of Art in Numerical Analysis , pp. 165-211
    • Kahan, W.1
  • 16
    • 0001019510 scopus 로고
    • Algebraic properties of the elementary functions of analysis
    • R.H. Risch, Algebraic properties of the elementary functions of analysis, Amer. J. Math. 101 (1979) 743-759.
    • (1979) Amer. J. Math. , vol.101 , pp. 743-759
    • Risch, R.H.1
  • 18
    • 0039110664 scopus 로고    scopus 로고
    • Visualization of Riemann surfaces of algebraic functions
    • M. Trott, Visualization of Riemann surfaces of algebraic functions, Mathematica in Education and Research 6(4) (1997) 15-36.
    • (1997) Mathematica in Education and Research , vol.6 , Issue.4 , pp. 15-36
    • Trott, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.