View abstract

Session S32 - Special functions and orthogonal polynomials

Monday, July 12, 12:00 ~ 13:00 UTC-3

Some properties of the generalized mixed type Bernoulli-Gegenbauer polynomials

Yamilet Quintana

Simón Bolívar University, Venezuela   -   This email address is being protected from spambots. You need JavaScript enabled to view it. document.getElementById('cloak759e1e2fcde6a4e66cf975a129ed925a').innerHTML = ''; var prefix = '&#109;a' + 'i&#108;' + '&#116;o'; var path = 'hr' + 'ef' + '='; var addy759e1e2fcde6a4e66cf975a129ed925a = 'yq&#117;&#105;nt&#97;n&#97;' + '&#64;'; addy759e1e2fcde6a4e66cf975a129ed925a = addy759e1e2fcde6a4e66cf975a129ed925a + '&#117;sb' + '&#46;' + 'v&#101;'; var addy_text759e1e2fcde6a4e66cf975a129ed925a = 'yq&#117;&#105;nt&#97;n&#97;' + '&#64;' + '&#117;sb' + '&#46;' + 'v&#101;';document.getElementById('cloak759e1e2fcde6a4e66cf975a129ed925a').innerHTML += '<a ' + path + '\'' + prefix + ':' + addy759e1e2fcde6a4e66cf975a129ed925a + '\'>'+addy_text759e1e2fcde6a4e66cf975a129ed925a+'<\/a>';

The generalized mixed type Bernoulli-Gegenbauer polynomials of order $\alpha>-\frac{1}{2}$ are special polynomials obtained by use of the generating function method. These polynomials represent an interesting mixture between two classes of special functions, namely generalized Bernoulli polynomials and Gegenbauer polynomials. In this talk we will explore some of their algebraic and analytic properties.