In this work, semiclassical orthogonal polynomials in two variables are defined as the orthogonal polynomials associated with a quasi definite linear functional satisfying a matrix Pearson-type differential equ
1) Chebyshev polynomials in two variables of the first kind 第一类双变量Chebyshev多项式 1. By using the theroy of extremal signature proposed by Rivlin and Shapiro,we prove that some of theChebyshev polynomials in two variables of the first kindpresented in are exactly the polynomials of least ...
Orthogonal polynomials of two real variables can often be represented in complex variables. We explore the connection between the two types of representations and study the structural relations of complex orthogonal polynomials. The complex Hermite orthogonal polynomials and the disk polynomials are used ...
(2012) On Humbert Matrix Polynomials of Two Variables. Advances in Pure Ma- thematics, 2, 423-427. http://dx.doi.org/10.4236/apm.2012.26064Khammash, G.S. and Shehata, A. On Humbert matrix polynomials of two variables, Ad- vances in Pure Mathematics 2, 423-427, 2012....
R.Loos, Computing in algebraic extensions. Computer Algebra; Symbolic and Algebraic Computation, 2nd edition, 173–187, Berlin-Heidelberg-New York 1983. (Computing, Supplementum4, (1982).) J. H. McKay andS. S.-S. Wang, An inversion formula for two polynomials in two variables. J. Pure ...
If two polynomials have a common root, then the resultant must be 0 at that root. Solve polynomial equations in two variables by calculating the resultant with respect to one variable, and solving the resultant for the other variable. First, calculate the resultant of two polynomials with respec...
In particular, we note that (1.15)en(2)(x,y)=n![2]en(x,y),(1.16)[2]en(x,1)=[2]en(x), where [2]en(x,y) denotes the 2-variable truncated exponential polynomials (2VTEP) [8]. Motivated by the importance of the special functions of two variables in applications, a general ...
In: Askey, R.A. (ed.) Theory and Application of Special Functions. Proceedings of an Advanced Seminar, pp. 435–495. Academic Press, New York (1975) 17. Fernández, L., Pérez, T.E., Piñar, M.A.: On Koornwinder classical orthogonal polynomials in two variables. J. Comput. Appl...
Polynomial comes from poly- (meaning "many") and -nomial (in this case meaning "term") ... so it says "many terms"Polynomials with one variable make nice smooth curves:A polynomial can have:constants (like 3, −20, or ½) variables (like x and y) exponents (like the 2 in y2...
The meaning of POLYNOMIAL is a mathematical expression of one or more algebraic terms each of which consists of a constant multiplied by one or more variables raised to a nonnegative integral power (such as a + bx + cx2). How to use polynomial in a sente