
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 + ((xialpha) 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 LagrangeBurmann. (Author)
Descriptors : (*DIFFERENTIAL EQUATIONS, *ANALYTIC FUNCTIONS), POLYNOMIALS, OPERATORS(MATHEMATICS), CONVERGENCE, DETERMINANTS(MATHEMATICS), THEOREMS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE