Basic hypergeometric series and applications / by 361573 Fine, Nathan J.

$n$-color overpartitions, lattice paths, and multiple basic hypergeometric series by Olivier Mallet

“…We define two classes of multiple basic hypergeometric series $V_{k,t}(a,q)$ and $W_{k,t}(a,q)$ which generalize multiple series studied by Agarwal, Andrews, and Bressoud. …”
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Extension of the <i>q</i>-Pfaff-Saalschütz Theorem by Two Integer Parameters by Nadia N. Li, Wenchang Chu

Subjects: “…basic hypergeometric series…”
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New double-sum expansions for certain Mock theta functions by Qiuxia Hu, Bilal Khan, Serkan Araci, Mehmet Acikgoz

Subjects: “…basic hypergeometric series…”
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Terminating Basic Hypergeometric Representations and Transformations for the Askey–Wilson Polynomials by Howard S. Cohl, Roberto S. Costas-Santos, Linus Ge

Subjects: “…basic hypergeometric series…”
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Two New Bailey Lattices and Their Applications by Zeya Jia, Bilal Khan, Praveen Agarwal, Qiuxia Hu, Xinjing Wang

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Summation Formulae for Quintic <i>q</i>-Series by Wenchang Chu

Subjects: “…basic hypergeometric series…”
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The Askey–Wilson Integral and Extensions by Wenchang Chu

Subjects: “…basic hypergeometric series…”
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On Second Order <i>q</i>-Difference Equations Satisfied by Al-Salam–Carlitz I-Sobolev Type Polynomials of Higher Order by Carlos Hermoso, Edmundo J. Huertas, Alberto Lastra, Anier Soria-Lorente

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Orthogonal Basic Hypergeometric Laurent Polynomials by Mourad E.H. Ismail, Dennis Stanton

“…The Askey-Wilson polynomials are orthogonal polynomials in$x = cos heta$, which are given as a terminating $_4phi_3$ basic hypergeometric series. The non-symmetric Askey-Wilson polynomials are Laurent polynomials in $z=e^{iheta}$, which are given as a sum of two terminating $_4phi_3$'s. …”
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An extension to overpartitions of Rogers-Ramanujan identities for even moduli by Sylvie Corteel, Jeremy Lovejoy, Olivier Mallet

“…We investigate class of well-poised basic hypergeometric series $\tilde{J}_{k,i}(a;x;q)$, interpreting these series as generating functions for overpartitions defined by multiplicity conditions. …”
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