The Pearson Equation and the Beta Integrals

DOI10.1137/S003614109222874XzbMath0808.33002MaRDI QIDQ4292656

Mizan Rahman, Sergei K. Suslov

Publication date: 6 March 1995

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

Pearson equationbeta integrals

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15)

Related Items

Semiclassical orthogonal polynomial systems on nonuniform lattices, deformations of the Askey table, and analogues of isomonodromy, On classical orthogonal polynomials, Expansions in Askey-Wilson polynomials via Bailey transform, Special nonuniform lattice (snul) orthogonal polynomials on discrete dense sets of points, A unified approach to the summation and integration formulas for \(q\)-hypergeometric functions. I, In memoriam: Mizan Rahman, Matrix-valued Gegenbauer-type polynomials, Elliptic beta integrals and modular hypergeometric sums: An overview., On Jacobi and continuous Hahn polynomials, A new approach to the theory of classical hypergeometric polynomials, A continuous extension of a \(q\)-analogue of the \(9\)-\(j\) symbols and its orthogonality, Theta hypergeometric integrals, A note on generalized \(q\)-difference equations for \(q\)-beta and Andrews-Askey integral, On a family of integrals that extend the Askey-Wilson integral, Fractional sum and fractional difference on non-uniform lattices and analogue of Euler and Cauchy beta formulas, \(q\)-Pearson pair and moments in \(q\)-deformed ensembles