## Search

Now showing items 1-10 of 106

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**Orthogonal** **polynomials** and Mobius transformations

(Springer, 2021-09-01)

Given an orthogonal polynomial sequence on the real line, another sequence of polynomials can be found by composing them with a Mobius transformation. In this work, we study the properties of such Mobius-transformed ...

#### Interlacing of zeros of **orthogonal** **polynomials** under modification of the measure

(2013-11-01)

We investigate the mutual location of the zeros of two families of orthogonal polynomials. One of the families is orthogonal with respect to the measure dμ (x), supported on the interval (a, b) and the other with respect ...

#### Interlacing of zeros of **orthogonal** **polynomials** under modification of the measure

(2013-11-01)

We investigate the mutual location of the zeros of two families of orthogonal polynomials. One of the families is orthogonal with respect to the measure dμ (x), supported on the interval (a, b) and the other with respect ...

#### Zeros of **classical** **orthogonal** **polynomials** of a discrete variable

(Amer Mathematical Soc, 2013-04-01)

In this paper we obtain sharp bounds for the zeros of classical orthogonal polynomials of a discrete variable, considered as functions of a parameter, by using a theorem of A. Markov and the so-called Hellmann-Feynman ...

#### New steps on Sobolev **orthogonality** in two variables

(Elsevier B.V., 2010-12-15)

Sobolev orthogonal polynomials in two variables are defined via inner products involving gradients. Such a kind of inner product appears in connection with several physical and technical problems. Matrix second-order partial ...

#### Inequalities for zeros of associated **polynomials** and derivatives of **orthogonal** **polynomials**

(Elsevier B.V., 2001-02-01)

It is well known and easy to see that the zeros of both the associated polynomial and the derivative of an orthogonal polynomial p(n)(x) interlace with the zeros of p(n)(x) itself. The natural question of how these zeros ...

#### Inequalities for zeros of associated **polynomials** and derivatives of **orthogonal** **polynomials**

(Elsevier B.V., 2001-02-01)

It is well known and easy to see that the zeros of both the associated polynomial and the derivative of an orthogonal polynomial p(n)(x) interlace with the zeros of p(n)(x) itself. The natural question of how these zeros ...

#### Multivariate sobolev-type **orthogonal** **polynomials**

(2011-12-01)

Multivariate orthogonal polynomials associated with a Sobolev-type inner product, that is, an inner product defined by adding to a measure the evaluation of the gradients in a fixed point, are studied. Orthogonal polynomials ...

#### Multivariate sobolev-type **orthogonal** **polynomials**

(2011-12-01)

Multivariate orthogonal polynomials associated with a Sobolev-type inner product, that is, an inner product defined by adding to a measure the evaluation of the gradients in a fixed point, are studied. Orthogonal polynomials ...