A Relation between the Weyl Group W(e8) and Eight-Line Arrangements on a Real Projective Plane

The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006.

Inversion Formulas for the q-Riemann-Liouville and q-Weyl Transforms Using Wavelets

Mathematics Subject Classification: 42A38, 42C40, 33D15, 33D60

On Generalized Weyl Fractional q-Integral Operator Involving Generalized Basic Hypergeometric Functions

Mathematics Subject Classification: 33D60, 33D90, 26A33

New Vacuum Solutions for Quadratic Metric-Affine Gravity - a Metric Affine Model for the Massless Neutrino?

AMS Subj. Classification: 83C15, 83C35

On Compositions in Equiaffine Space

In an equiaffine space q N E using the connection define with projective tensors na and ma the connections 1 , 2 and 3 . For the spaces N N 1A ,2A and N 3A , with coefficient of connection 1 , 2 and 3 respectively, we proved that the affinor of composition and the projective affinors have equal covariant derivatives. It follows that the connection 3 is equaffine as well, and the connections and 3 are projective to each other. In the case where q N E and N 3A have equal Ricci tensors, we find the fundamental nvector . In [4] compositions with structural affinor a are studied. Space containing compositions with symmetric connection and Weyl connection are studied in [6] and [7] respectively.

On Compositions in Equiaffine Space

In an equiaffine space q N E using the connection define with projective tensors na and ma the connections 1 , 2 and 3 . For the spaces N N 1A ,2A and N 3A , with coefficient of connection 1 , 2 and 3 respectively, we proved that the affinor of composition and the projective affinors have equal covariant derivatives. It follows that the connection 3 is equaffine as well, and the connections and 3 are projective to each other. In the case where q N E and N 3A have equal Ricci tensors, we find the fundamental nvector . In [4] compositions with structural affinor a are studied. Space containing compositions with symmetric connection and Weyl connection are studied in [6] and [7] respectively.

On Fractional Helmholtz Equations

MSC 2010: 26A33, 33E12, 33C60, 35R11

Windowed-Wigner Representations, Interferences and Operators

2010 Mathematics Subject Classification: 42B10, 47A07, 35S05.

Solutions of Fractional Diffusion-Wave Equations in Terms of H-functions

MSC 2010: 35R11, 42A38, 26A33, 33E12