Accession Number : AD0660499

Title :   RELATIONS BETWEEN DERIVATIVES.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : VAN DER Corput,J. G.

Report Date : AUG 1966

Pagination or Media Count : 30

Abstract : If x = a + ((xi-alpha) to the power tau) chi(xi), where r tau is a positive integer and where chi(xi) is not equal to zero and analytic at xi = alpha, then the derivatives with respect to x at the point x = a can be expressed by means of the derivatives with respect to xi at the point xi = alpha. This problem and the corresponding problems for an arbitrary number of variables is treated, leading to generalizations of the formula of Lagrange-Burmann. (Author)

Descriptors :   (*DIFFERENTIAL EQUATIONS, *ANALYTIC FUNCTIONS), POLYNOMIALS, OPERATORS(MATHEMATICS), CONVERGENCE, DETERMINANTS(MATHEMATICS), THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE