A short proof of the generalized Faa di Bruno's formula

被引:28
|
作者
Encinas, LH [1 ]
Masqué, JM [1 ]
机构
[1] CSIC, Inst Fis Aplicada, E-28006 Madrid, Spain
关键词
composite functions; differential calculus; partial derivatives;
D O I
10.1016/S0893-9659(03)90026-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A short proof of the generalized Faa di Bruno formula is given and an explicit parametrization of the set of indices involved in the coefficient of a specific term of the formula is provided. An application is also included. (C) 2003 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:975 / 979
页数:5
相关论文
共 50 条
  • [1] A short proof of the formula of Faa di Bruno
    Spindler, Karlheinz
    ELEMENTE DER MATHEMATIK, 2005, 60 (01) : 33 - 35
  • [2] Prehistory of Faa di Bruno's formula
    Craik, ADD
    AMERICAN MATHEMATICAL MONTHLY, 2005, 112 (02): : 119 - 130
  • [3] A DISCRETE FAA DI BRUNO'S FORMULA
    Duarte, Pedro
    Torres, Maria Joana
    CONTRIBUTIONS TO DISCRETE MATHEMATICS, 2012, 7 (02) : 72 - 83
  • [4] FAA DI BRUNO'S FORMULA AND VOLTERRA SERIES
    Clark, Daniel E.
    Houssineau, Jeremie
    2014 IEEE WORKSHOP ON STATISTICAL SIGNAL PROCESSING (SSP), 2014, : 217 - 219
  • [5] Faa!di Bruno's formula, lattices, and partitions
    Encinas, LH
    del Rey, AM
    Masqué, JM
    DISCRETE APPLIED MATHEMATICS, 2005, 148 (03) : 246 - 255
  • [6] FaA di Bruno's Formula and Modular Forms
    Meguedmi, Djohra
    Sebbar, Ahmed
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2016, 10 (02) : 409 - 435
  • [7] Five interpretations of Faa di Bruno's formula
    Frabetti, Alessandra
    Manchon, Dominique
    FAA DI BRUNO HOPF ALGEBRAS, DYSON-SCHWINGER EQUATIONS, AND LIE-BUTCHER SERIES, 2015, 21 : 91 - 147
  • [8] The curious history of Faa di Bruno's formula
    Johnson, WP
    AMERICAN MATHEMATICAL MONTHLY, 2002, 109 (03): : 217 - 234
  • [9] The Faa di Bruno formula revisited
    Mortini, Raymond
    ELEMENTE DER MATHEMATIK, 2013, 68 (01) : 33 - 38
  • [10] Faa di Bruno's formula and spatial cluster modelling
    Clark, Daniel E.
    Houssineau, Jeremie
    SPATIAL STATISTICS, 2013, 6 : 109 - 117