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Key words: cumulative Bernoulli trials; multivariate Markov chains; 9 − j symbols; transition kernel; Askey–Wilson polynomials; eigenvalue problem; trinomial distribution;

Key words: elliptic Frobenius determinant; QD -algorithm; orthogonal and biorthogonal polynomials on the unit circle; dense point spectrum; elliptic hypergeometric

[12] Koornwinder T.H., Askey–Wilson polynomials for root systems of type BC, in Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Applications, Editor D.St.P.

[3] Castro M., Gr¨ unbaum F.A., The algebra of matrix valued differential operators associated to a given family of matrix valued orthogonal polynomials: five instructive examples,

There are basically three important families of polynomials associated with the root system of type A, namely, the Jack type polynomials, the Laguerre polynomials, and the MP

The differential operator defined in this article plays a key rˆole in conformal differential geometry in dimension 4 and is now known as the Paneitz operator.. Key words:

As a rule, Hamiltonian systems defined on their cotangent bundles have certain mathematically and physically interesting features, especially when their Hamiltonians are somehow

On the other hand, the generalized Bessel function was expressed for A and B -types root systems via multivariate hypergeometric series of two arguments and of Jack parameter