On \(q\)-operators and summation of some \(q\)-series

DOI10.1155/2010/785949zbMath1209.33005OpenAlexW2154991442WikidataQ58651434 ScholiaQ58651434MaRDI QIDQ623696

Ahmed Fitouhi, Sana Guesmi

Publication date: 8 February 2011

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/233494

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20)

Cites Work

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• A symbolic operator approach to several summation formulas for power series. II
• \(q\)-Bernoulli numbers associated with \(q\)-Stirling numbers.
• The zeros of basic Bessel functions, the functions J(nu+ax)(x), and associated orthogonal polynomials
• Non-central generalized \(q\)-factorial coefficients and \(q\)-Stirling numbers
• A series transformation formula and related polynomials
• The q-Stirling numbers of first and second kinds
• Twoq-difference equations andq-operator identities
• q-Probability: I. Basic Discrete Distributions
• On Abelian Fields
• The Operator and Its Applications to Series
• The Operator (a x Δ) n and Stirling Numbers of the First Kind
• Quantum calculus

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