ALGEBRAIC FUNCTIONS, CALCULUS STYLE

被引:0
|
作者
Richman, Fred [1 ]
机构
[1] Florida Atlantic Univ, Dept Math, Boca Raton, FL 33431 USA
关键词
Casus irreducibilis; Explicit algebraic functions;
D O I
10.1080/00927872.2011.584337
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We investigate the structure and properties of the explicit algebraic functions described in calculus texts and their relation to algebraic functions. A structure theorem enables us to construct a large number of examples. An example of an algebraic function that is not explicitly algebraic is studied, and an abstract algebraic context is provided for the theory.
引用
收藏
页码:2671 / 2683
页数:13
相关论文
共 50 条
  • [1] Mikusinski's operational calculus with algebraic foundations and applications to Bessel functions
    Bengochea, Gabriel
    Lopez, Gabriel
    [J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2014, 25 (04) : 272 - 282
  • [2] The lambda calculus is algebraic
    Selinger, P
    [J]. JOURNAL OF FUNCTIONAL PROGRAMMING, 2002, 12 : 549 - 566
  • [3] An algebraic process calculus
    Beffara, Emmanuel
    [J]. TWENTY-THIRD ANNUAL IEEE SYMPOSIUM ON LOGIC IN COMPUTER SCIENCE, PROCEEDINGS, 2008, : 130 - 141
  • [4] The algebraic lambda calculus
    Vaux, Lionel
    [J]. MATHEMATICAL STRUCTURES IN COMPUTER SCIENCE, 2009, 19 (05) : 1029 - 1059
  • [5] AN ALGEBRAIC APPROACH TO CALCULUS
    LEVI, H
    [J]. TRANSACTIONS OF THE NEW YORK ACADEMY OF SCIENCES, 1966, 28 (03): : 375 - &
  • [6] On the algebraic models of lambda calculus
    Salibra, A
    [J]. THEORETICAL COMPUTER SCIENCE, 2000, 249 (01) : 197 - 240
  • [7] The ψ calculus:: An algebraic agent language
    Kinny, D
    [J]. INTELLIGENT AGENTS VIII: AGENT THEORIES, ARCHITECTURES, AND LANGUAGES, 2002, 2333 : 32 - 50
  • [8] Schubert calculus for algebraic cobordism
    Hornbostel, Jens
    Kiritchenko, Valentina
    [J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2011, 656 : 59 - 85
  • [9] The Algebraic Structure of Quantity Calculus
    Raposo, Alvaro P.
    [J]. MEASUREMENT SCIENCE REVIEW, 2018, 18 (04): : 147 - 157
  • [10] Inductive types in the calculus of algebraic constructions
    Blanqui, F
    [J]. TYPED LAMBDA CALCULI AND APPLICATIONS, PROCEEDINGS, 2003, 2701 : 46 - 59