Geodesic
Ramanujan-type continuous measures for classical $q$-polynomials
Teoretičeskaâ i matematičeskaâ fizika, Tome 105 (1995) no. 3, pp. 383-392

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It is shown that Ramanujan-type measures for a hierarchy of classical $q$-orthogonal polynomials can be systematically built from simple cases of the continuous $q$-Hermite and $q^{-1}$-Hermite polynomials by using the Berg–Ismail procedure of attaching generating functions to measures. The application of this technique leads also to the evaluation of Ramanujan-type integrals for the Al-Salam–Chihara polynomials both when $0$ and $q>1$, as well as for the product of four particular nonterminating basic hypergeometric functions ${}_2\phi _1$. 
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     author = {N. M. Atakishiyev},
     title = {Ramanujan-type continuous measures for classical $q$-polynomials},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {383--392},
     publisher = {mathdoc},
     volume = {105},
     number = {3},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1995_105_3_a3/}
}
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N. M. Atakishiyev. Ramanujan-type continuous measures for classical $q$-polynomials. Teoretičeskaâ i matematičeskaâ fizika, Tome 105 (1995) no. 3, pp. 383-392. http://geodesic.mathdoc.fr/item/TMF_1995_105_3_a3/