Derivatives of composite functions

Bulletin of the American Mathematical Society - Tập 52 Số 8 - Trang 664-667
John Riordan

Tóm tắt

Từ khóa


Tài liệu tham khảo

Bell, E. T., 1934, Exponential polynomials, Ann. of Math. (2), 35, 258, 10.2307/1968431

2. L. S. Dederick, Successive derivatives of a function of several functions, Ann. of Math. vol. 27 (1925-26) pp. 385-394.

Dresden, Arnold, 1943, The derivatives of composite functions, Amer. Math. Monthly, 50, 9, 10.2307/2303986

Menger, Karl, 1944, Algebra of Analysis

Opatowski, I., 1939, Combinatoric interpretation of a formula for the 𝑛th derivative of a function of a function, Bull. Amer. Math. Soc., 45, 944, 10.1090/S0002-9904-1939-07121-8

6. O. Schlömilch, Compendium der höheren analysis, s. 4, vol. 2, Braunschweig, 1879.

7. F. G. Teixeira, Sur les dérivées d’ordre quelconque, Giornale di Matematica di Battaglini vol. 18 (1880) p. 306.

8. H. S. Wall, On the nth derivative of f(x), Bull. Amer. Math. Soc. vol. 44 (1938) pp. 395-397.