Probabilistic proofs of some q-identities

DOI10.1142/S0219025714500234zbMath1305.05022OpenAlexW2031647494MaRDI QIDQ2937038

Mingjin Wang

Publication date: 7 January 2015

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025714500234

zbMATH Keywords

Mehler's formulaidentity of AndrewsJackson \(q\)-analogue of the Euler transformprobability distribution \(W(x, q)\)

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) (q)-calculus and related topics (05A30) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Cites Work

• Unnamed Item
• A new probability distribution with applications
• Some multilinear generating functions for q-Hermite polynomials
• Some operator identities and \(q\)-series transformation formulas
• An extension of the \(q\)-beta integral with applications
• q-identities of Auluck, Carlitz, and Rogers
• PROBABILISTIC DERIVATION OF A q-POLYNOMIALS TRANSFORMATION FORMULA

This page was built for publication: Probabilistic proofs of some q-identities