58 citations · 279 across the 24 of their papers we have counts for
26 papers
The Adelic Grassmannian and Exceptional Hermite Polynomials
Alex Kasman, Robert Milson
It is shown that when dependence on the second flow of the KP hierarchy is added, the resulting semi-stationary wave function of certain points in George Wilson's adelic Grassmanni…
Did Sequence Dependent Geometry Influence the Evolution of the Genetic Code?
Alex Kasman, Brenton LeMesurier
The genetic code is the function from the set of codons to the set of amino acids by which a DNA sequence encodes proteins. Since the codons also influence the shape of the DNA mol…
Quaternion-Valued Breather Soliton, Rational, and Periodic KdV Solutions
John Cobb, Alex Kasman, Albert Serna +1
Quaternion-valued solutions to the non-commutative KdV equation are produced using determinants. The solutions produced in this way are (breather) soliton solutions, rational solut…
On Factoring an Operator Using Elements of its Kernel
Alex Kasman
A well-known theorem factors a scalar coefficient differential operator given a linearly independent set of functions in its kernel. The goal of this paper is to generalize this us…
Factorization of a Matrix Differential Operator Using Functions in its Kernel
Alex Kasman
Just as knowing some roots of a polynomial allows one to factor it, a well-known result provides a factorization of any scalar differential operator given a set of linearly indepen…
Recurrence Relations for Exceptional Hermite Polynomials
D. Gomez-Ullate, A. Kasman, A. B. J. Kuijlaars +1
The bispectral anti-isomorphism is applied to differential operators involving elements of the stabilizer ring to produce explicit formulas for all difference operators having any…