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Multiple Meixner Polynomials on a Non-Uniform Lattice.
- Source :
-
Mathematics (2227-7390) . Sep2020, Vol. 8 Issue 9, p1460. 1p. - Publication Year :
- 2020
-
Abstract
- We consider two families of type II multiple orthogonal polynomials. Each family has orthogonality conditions with respect to a discrete vector measure. The r components of each vector measure are q-analogues of Meixner measures of the first and second kind, respectively. These polynomials have lowering and raising operators, which lead to the Rodrigues formula, difference equation of order r + 1 , and explicit expressions for the coefficients of recurrence relation of order r + 1 . Some limit relations are obtained. [ABSTRACT FROM AUTHOR]
- Subjects :
- *POLYNOMIALS
*DIFFERENCE equations
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 8
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 146538102
- Full Text :
- https://doi.org/10.3390/math8091460