Studies on the generalized and reverse generalized bessel polynomials

Polat, Zeynep Sonay
The special functions and, particularly, the classical orthogonal polynomials encountered in many branches of applied mathematics and mathematical physics satisfy a second order differential equation, which is known as the equation of the hypergeometric type. The variable coefficients in this equation of the hypergeometric type are of special structures. Depending on the coefficients the classical orthogonal polynomials associated with the names Jacobi, Laguerre and Hermite can be derived as solutions of this equation. In this thesis, these well known classical polynomials as well as another class of polynomials, which receive less attention in the literature called Bessel polynomials have been studied.


Rare z decays and noncommutative theories
Yüce, Cem; Alıyev, Tahmasıb; Department of Physics (2004)
Leptonic decay modes of Z-boson constitute one of the important class of the decays for checking predictions and improving parameters of the standard model. In next generation of the accelerators, it will be produced more than 10̂8 Z-boson pear year. Therefore, It appears real possibility to analyze the rare decays of Z, which are absent at tree level in standard model. Moreover, the rare decays are quite sensitive to the existence of new physics beyond the standard model. One of the possible source for the...
On a transformation between hierarchies of integrable equations
GÜRSES, METİN; Zheltukhın, Kostyantyn (Elsevier BV, 2006-02-20)
A transformation between a hierarchy of integrable equations arising from the standard R-matrix construction on the algebra of differential operators and a hierarchy of integrable equations arising from a deformation of the standard R-matrix is given.
Oscillation of even order nonlinear delay dynamic equations on time scales
Erbe, Lynn; Mert, Raziye; Peterson, Allan; Zafer, Ağacık (Institute of Mathematics, Czech Academy of Sciences, 2013-03-01)
One of the important methods for studying the oscillation of higher order differential equations is to make a comparison with second order differential equations. The method involves using Taylor's Formula. In this paper we show how such a method can be used for a class of even order delay dynamic equations on time scales via comparison with second order dynamic inequalities. In particular, it is shown that nonexistence of an eventually positive solution of a certain second order delay dynamic inequality is...
Exact solutions of the Schrodinger equation via Laplace transform approach: pseudoharmonic potential and Mie-type potentials
Arda, Altug; Sever, Ramazan (Springer Science and Business Media LLC, 2012-04-01)
Exact bound state solutions and corresponding normalized eigenfunctions of the radial Schrodinger equation are studied for the pseudoharmonic and Mie-type potentials by using the Laplace transform approach. The analytical results are obtained and seen that they are the same with the ones obtained before. The energy eigenvalues of the inverse square plus square potential and three-dimensional harmonic oscillator are given as special cases. It is shown the variation of the first six normalized wave-functions ...
A classification of equivariant principal bundles over nonsingular toric varieties
Biswas, Indranil; Dey, Arijit; Poddar, Mainak (World Scientific Pub Co Pte Lt, 2016-12-01)
We classify holomorphic as well as algebraic torus equivariant principal G-bundles over a nonsingular toric variety X, where G is a complex linear algebraic group. It is shown that any such bundle over an affine, nonsingular toric variety admits a trivialization in equivariant sense. We also obtain some splitting results.
Citation Formats
Z. S. Polat, “Studies on the generalized and reverse generalized bessel polynomials,” M.S. - Master of Science, Middle East Technical University, 2004.