Add to ORKGThis paper establishes the necessary and sufficient conditions for the reality of all the zeros in a polynomial sequence {Pi } generated by a three-term recurrence relation P_i (x) + Q_1 (x)P_{i−1} (x) + Q_2 (x)P_{i−2}(x) = 0 with the standard initial conditions P_0(x) = 1, P_{-1} (x) = 0, where Q_1(x) and Q_2(x) are arbitrary real polynomials
AbstractWe give new sufficient conditions for a sequence of polynomials to have only real zeros base...
AbstractThe finite sequences of polynomials {Pn}n = 0N generated from three-term recurrence relation...
AbstractThis paper contributes to the classical problem of the determination of the zeros of a cubic...
This paper establishes the necessary and sufficient conditions for the reality of all the zeros in a...
This paper establishes the necessary and sufficient conditions for the reality of all the zeros in a...
summary:This paper establishes the necessary and sufficient conditions for the reality of all the ze...
summary:This paper establishes the necessary and sufficient conditions for the reality of all the ze...
AbstractLet PN+1(x) be the polynomial which is defined recursively by P0(x) = 0, P1(x) = 1, and αnPn...
AbstractLet PN+1(x) be the polynomial which is defined recursively by P0(x) = 0, P1(x) = 1, and αnPn...
This licentiate consists of two papers treating polynomial sequences defined by linear recurrences. ...
This licentiate consists of two papers treating polynomial sequences defined by linear recurrences. ...
In this thesis, we study the problem of location of the zeros of individual polynomials in sequences...
In this thesis, we study the problem of location of the zeros of individual polynomials in sequences...
AbstractThe location of the zeros of a family of polynomials satisfying a three-term recurrence rela...
AbstractThis paper deals with the zeros of polynomials generated by a certain three term recurrence ...
AbstractWe give new sufficient conditions for a sequence of polynomials to have only real zeros base...
AbstractThe finite sequences of polynomials {Pn}n = 0N generated from three-term recurrence relation...
AbstractThis paper contributes to the classical problem of the determination of the zeros of a cubic...
This paper establishes the necessary and sufficient conditions for the reality of all the zeros in a...
This paper establishes the necessary and sufficient conditions for the reality of all the zeros in a...
summary:This paper establishes the necessary and sufficient conditions for the reality of all the ze...
summary:This paper establishes the necessary and sufficient conditions for the reality of all the ze...
AbstractLet PN+1(x) be the polynomial which is defined recursively by P0(x) = 0, P1(x) = 1, and αnPn...
AbstractLet PN+1(x) be the polynomial which is defined recursively by P0(x) = 0, P1(x) = 1, and αnPn...
This licentiate consists of two papers treating polynomial sequences defined by linear recurrences. ...
This licentiate consists of two papers treating polynomial sequences defined by linear recurrences. ...
In this thesis, we study the problem of location of the zeros of individual polynomials in sequences...
In this thesis, we study the problem of location of the zeros of individual polynomials in sequences...
AbstractThe location of the zeros of a family of polynomials satisfying a three-term recurrence rela...
AbstractThis paper deals with the zeros of polynomials generated by a certain three term recurrence ...
AbstractWe give new sufficient conditions for a sequence of polynomials to have only real zeros base...
AbstractThe finite sequences of polynomials {Pn}n = 0N generated from three-term recurrence relation...
AbstractThis paper contributes to the classical problem of the determination of the zeros of a cubic...