Bidiagonal factorization of the recurrence matrix for the Hahn multiple orthogonal polynomials

Hypergeometric expressions for type I Jacobi–Piñeiro orthogonal polynomials with arbitrary number of weights

“…These polynomials are derived by applying the limit to the Jacobi-Piñeiro type I polynomials (8), as described in:…”

“…In our work presented in [6], we offer explicit hypergeometric expressions for all type I polynomials within the realm of multiple Hahn orthogonal polynomials under the Askey scheme [5,18], a context encompassing only two weights. Through these efforts, we have successfully constructed bidiagonal factorizations and characterized positive ones [8], as elaborated in [9,14].…”

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“…These polynomials are derived by applying the limit to the Jacobi-Piñeiro type I polynomials (8), as described in:…”

“…In our work presented in [6], we offer explicit hypergeometric expressions for all type I polynomials within the realm of multiple Hahn orthogonal polynomials under the Askey scheme [5,18], a context encompassing only two weights. Through these efforts, we have successfully constructed bidiagonal factorizations and characterized positive ones [8], as elaborated in [9,14].…”