Some Generalized Results to unify Classical Polynomials

Some Generalized Fibonacci Polynomials

We introduce polynomial generalizations of the r-Fibonacci, r-Gibonacci, and rLucas sequences which arise in connection with two statistics defined, respectively, on linear, phased, and circular r-mino arrangements.

Generalized Coherent States for Classical Orthogonal Polynomials

For the oscillator-like systems, connected with the Laguerre, Legendre and Chebyshev polynomials coherent states of Glauber-Barut-Girardello type are defined. The suggested construction can be applied to each system of orthogonal polynomials including classical ones as well as deformed ones.

Some Results in Generalized Serstnev Spaces

Some Results on the Field of Values of Matrix Polynomials

In this paper, the notions of pseudofield of values and joint pseudofield of values of matrix polynomials are introduced and some of their algebraic and geometrical properties are studied.  Moreover, the relationship between the pseudofield of values of a matrix polynomial and the pseudofield of values of its companion linearization is stated, and then some properties of the augmented field of ...

Using Refinement Search to Unify and Synthesize Classical Planners

Though domain-dependent planners can be more efficient than general-purpose planners, no flexible and straight-forward framework is available to generate them. The trend in implementing planners has been to write general-purpose planners through traditional human-intensive programming effort. This thesis presents a general method for automatically generating efficient domain-specific classical ...