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𝑞-Bessel functions and Rogers-Ramanujan type identities
Mourad Ismail, Ruiming Zhang
Source abstract
We evaluate q q -Bessel functions at an infinite sequence of points and introduce a generalization of the Ramanujan function and give an extension of the m m -version of the Rogers-Ramanujan identities. We also prove several generating functions for Stieltjes-Wigert polynomials with argument depending on the degree. In addition we give several Rogers-Ramanujan type identities.
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