4 papers
New properties of Special Functions and applications
Vagner Jikia, Ilia Lomidze
We have derived some new results for the Mellin transform formulas, as well as for the Gauss hypergeometric function. Also, we have found the connection between the Legendre functi…
A Generalized Function defined by the Euler first kind integral and its connection with the Dirac delta function
Vagner Jikia, Ilia Lomidze
We have shown that in some region where the Euler integral of the first kind diverges, the Euler formula defines a generalized function. The connected of this generalized function…
Symbolic estimation of distances between eigenvalues of Hermitian operator and unitary orbits classification
Ilia Lomidze, Natela Chachava
We use symbolic expressions for traces of positive integer powers of a Hermitian operator (or, equivalently, coefficients of corresponding characteristic polynomial) to find soluti…
Symbolic estimation of distances between eigenvalues of Hermitian operator
Ilia Lomidze, Natela Chachava
We find out a method for symbolic estimation of a minimal (maximal) distance between eigenvalues of a Hermitian matrix (or roots of a polynomial with real (maybe degenerated) roots…