| Full text | |
| Author(s): |
Borrego-Morell, J.
;
Ranga, A. Sri
Total Authors: 2
|
| Document type: | Journal article |
| Source: | INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS; v. 28, n. 1, p. 39-55, JAN 2016. |
| Web of Science Citations: | 0 |
| Abstract | |
Consider the linear second-order differential equation An(z) y{''}+ B-n(z) y' + C(n)y = 0, where A(n)(z) = a(2), nz(2) + a(1,n)z + a(0), n with a(2), n = 0, a2 1, n - 4a2, na0, n = 0,. n. N or a2, n = 0, a1, n = 0,. n. N, Bn(z) = b1, n + b0, nz are polynomials with complex coefficients and Cn. C. Under some assumptions over a certain class of lowering and raising operators, we show that for a sequence of polynomials (fn)8 n = 0 orthogonal on the unit circle to satisfy the differential equation (1.1), the polynomial fn must be of a specific form involving and extension of the Gauss and confluent hypergeometric series. (AU) | |
| FAPESP's process: | 12/21042-0 - Orthogonal polynomials with respect to differential operators and matrix orthogonal polynomials |
| Grantee: | Jorge Alberto Borrego Morell |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 09/13832-9 - Orthogonal polynomials, special functions and applications |
| Grantee: | Dimitar Kolev Dimitrov |
| Support Opportunities: | Research Projects - Thematic Grants |