AbstractWe use mixed three term recurrence relations typically satisfied by classical orthogonal polynomials from sequences corresponding to different parameters to derive upper (lower) bounds for the smallest (largest) zeros of Jacobi, Laguerre and Gegenbauer polynomials
In this paper we state and prove some properties of the zeros of exceptional Jacobi and Laguerre pol...
AbstractLet {Sn} denote the set of orthogonal polynomials with respect to the symmetric inner produc...
In this paper we state and prove some properties of the zeros of exceptional Jacobi and Laguerre pol...
Let {pn}1 n=0 be a sequence of orthogonal polynomials. We briefly review properties of pn that have ...
AbstractWe use mixed three term recurrence relations typically satisfied by classical orthogonal pol...
Let {pn}∞n=0 be a sequence of orthogonal polynomials. We briefly review properties of pn t...
Abstract. Let {pn} n=0 be a sequence of orthogonal polynomials. We briefly review properties of pn t...
AbstractLet x1 and xk be the least and the largest zeros of the Laguerre or Jacobi polynomial of deg...
Using chain sequences we formulate a procedure to find upper (lower) bounds for the largest (smalles...
Using chain sequences we formulate a procedure to find upper (lower) bounds for the largest (smalles...
AbstractWe exploit difference equations to establish sharp inequalities on the extreme zeros of the ...
Using chain sequences we formulate a procedure to find upper (lower) bounds for the largest (smalles...
Using chain sequences we formulate a procedure to find upper (lower) bounds for the largest (smalles...
AbstractStieltjes’ Theorem (cf. Szegö (1959) [10]) proves that if {pn}n=0∞ is an orthogonal sequence...
AbstractWe show that for any positive integers k<m there exists a sequence p0, …, pm of orthogonal p...
In this paper we state and prove some properties of the zeros of exceptional Jacobi and Laguerre pol...
AbstractLet {Sn} denote the set of orthogonal polynomials with respect to the symmetric inner produc...
In this paper we state and prove some properties of the zeros of exceptional Jacobi and Laguerre pol...
Let {pn}1 n=0 be a sequence of orthogonal polynomials. We briefly review properties of pn that have ...
AbstractWe use mixed three term recurrence relations typically satisfied by classical orthogonal pol...
Let {pn}∞n=0 be a sequence of orthogonal polynomials. We briefly review properties of pn t...
Abstract. Let {pn} n=0 be a sequence of orthogonal polynomials. We briefly review properties of pn t...
AbstractLet x1 and xk be the least and the largest zeros of the Laguerre or Jacobi polynomial of deg...
Using chain sequences we formulate a procedure to find upper (lower) bounds for the largest (smalles...
Using chain sequences we formulate a procedure to find upper (lower) bounds for the largest (smalles...
AbstractWe exploit difference equations to establish sharp inequalities on the extreme zeros of the ...
Using chain sequences we formulate a procedure to find upper (lower) bounds for the largest (smalles...
Using chain sequences we formulate a procedure to find upper (lower) bounds for the largest (smalles...
AbstractStieltjes’ Theorem (cf. Szegö (1959) [10]) proves that if {pn}n=0∞ is an orthogonal sequence...
AbstractWe show that for any positive integers k<m there exists a sequence p0, …, pm of orthogonal p...
In this paper we state and prove some properties of the zeros of exceptional Jacobi and Laguerre pol...
AbstractLet {Sn} denote the set of orthogonal polynomials with respect to the symmetric inner produc...
In this paper we state and prove some properties of the zeros of exceptional Jacobi and Laguerre pol...