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On The Trigonometric Developments Of Certain Doubly Periodic Functions Of The Second Kind, M. A. Basoco
On The Trigonometric Developments Of Certain Doubly Periodic Functions Of The Second Kind, M. A. Basoco
Department of Mathematics: Faculty Publications
The class of meromorphic functions which satisfy periodicity relations of the form (1) ƒ(z + 2ωl) = c1f(z), f(z + 2ω2) = c2f{z), where the multipliers c1 and c2 are independent of z, and ωl/ω2 is a complex number with non-vanishing imaginary part, has been named by Hermite doubly periodic of the second kind. It is possible to make the study of these functions depend on others of the same type, but such that one of the multipliers, say cl, is unity. In what follows …
The Practical Evaluation Of Resultants, T. A. Pierce
The Practical Evaluation Of Resultants, T. A. Pierce
Department of Mathematics: Faculty Publications
The purpose of the present note is to give a practical method of evaluating the resultant of two equations. The method is particularly effective when the degree of one of the equations is high while that of the other is low. Use will be made of certain results in the theory of matrices.