Topics in the Theorie of Algebraic Equations.
Abstract
Contents: Applicability of the Bernoulli-L'Hospital rule was investigated, if the usual assumptions fail on a zero set; The probably most general extension of integrals of Cauchy-Frullani type was developed, which contains, beyond all special cases as yet known, a great number of further types of integrals; The classical theorem on irreducibility of the resultant of two general polynomials is extended to the case where one of these polynomials contains only one free parameter; An investigation was made of the properties of the Kronecker extensions of polynomial ideals; In discussions of the de Moivre - Laplace formula in the calculus of probabilities, it is proved that the error term is false and the correct term is determined and investigated; and Distributions of irrational numbers in a linear interval are investigated with the results extended to vectors with irrational coefficients in an m-dimensional interval in R to the mth power.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1977
- Accession Number
- ADA050660
Entities
People
- Alexander M. Ostrowski
Organizations
- University of Basel