UvA - DARE ( Digital Academic Repository ) Multivariable big and little q - Jacobi polynomials
نویسنده
چکیده
A four-parameter family of multivariable big q-Jacobi polynomials and a threeparameter family of multivariable little q-Jacobi polynomials are introduced. For both families, full orthogonality is proved with the help of a second-order q-difference operator which is diagonalized by the multivariable polynomials. A link is made between the orthogonality measures and R. Askey’s q-extensions of Selberg’s multidimensional beta-integrals.
منابع مشابه
On Bc Type Basic Hypergeometric Orthogonal Polynomials
Abstract. The five parameter family of multivariable Askey-Wilson polynomials is studied with four parameters generically complex. The multivariable Askey-Wilson polynomials form an orthogonal system with respect to an explicit (in general complex) measure. A partially discrete orthogonality measure is obtained by shifting the contour to the torus while picking up residues. A parameter domain i...
متن کاملUvA - DARE ( Digital Academic Repository ) The University of Amsterdam at WebCLEF 2005
We describe the University of Amsterdam’s participation in the WebCLEF track at CLEF 2005. We submitted runs for both the mixed monolingual task and the multilingual task.
متن کاملUvA - DARE ( Digital Academic Repository ) Cancer patients ' trust in their physician - a review
236
متن کاملLimit Transitions for BC Type Multivariable Orthogonal Polynomials
Limit transitions will be derived between the five parameter family of Askey-Wilson polynomials, the four parameter family of big q-Jacobi polynomials and the three parameter family of little q-Jacobi polynomials in n variables associated with root system BC. These limit transitions generalize the known hierarchy structure between these families in the one variable case. Furthermore it will be ...
متن کاملOn the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials
A limit formula from q-Racah polynomials to big q-Jacobi polynomials is given which can be considered as a limit formula for orthogonal polynomials. This is extended to a multi-parameter limit with 3 parameters, also involving (q-)Hahn polynomials, little q-Jacobi polynomials and Jacobi polynomials. Also the limits from Askey–Wilson to Wilson polynomials and from q-Racah to Racah polynomials ar...
متن کامل