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On a noncommutative algebraic geometry

(2015)

Banach Center Publications

Several sets of quaternionic functions are described and studied with respect to hyperholomorphy, addition and (non-commutative) multiplication, on open sets of ℍ, then Hamilton 4-manifolds analogous to Riemann surfaces, for ℍ instead of ℂ, are defined, and so begin to describe a class of four-dimensional manifolds.

On a paper of Carleson.

Brakalova, Melkana A., Jenkins, James A. (2002)

Annales Academiae Scientiarum Fennicae. Mathematica

On a Problem of Best Uniform Approximation and a Polynomial Inequality of Visser

M. A. Qazi (2014)

Bulletin of the Polish Academy of Sciences. Mathematics

In this paper, a generalization of a result on the uniform best approximation of α cos nx + β sin nx by trigonometric polynomials of degree less than n is considered and its relationship with a well-known polynomial inequality of C. Visser is indicated.

On a problem of Seiberg and Witten

David E. Barrett (1998)

Annales Polonici Mathematici

We describe alternate methods of solution for a model arising in the work of Seiberg and Witten on N = 2 supersymmetric Yang-Mills theory and provide a complete argument for the characterization put forth by Argyres, Faraggi, and Shapere of the curve I m a D / a = 0 .

On a question of Hong Xun Yi

Indrajit Lahiri (2002)

Archivum Mathematicum

In the paper we prove a uniqueness theorem for meromorphic functions which provides an answer to a question of H. X. Yi.

On a radius problem concerning a class of close-to-convex functions

Richard Fournier (1995)

Banach Center Publications

The problem of estimating the radius of starlikeness of various classes of close-to-convex functions has attracted a certain number of mathematicians involved in geometric function theory ([7], volume 2, chapter 13). Lewandowski [11] has shown that normalized close-to-convex functions are starlike in the disc | z | < 4 2 - 5 . Krzyż [10] gave an example of a function f ( z ) = z + n = 2 a n z n , non-starlike in the unit disc , and belonging to the class H = f | f’() lies in the right half-plane. More generally let H* = f | f’() lies in...

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