D-polynomials and Taylor formula in quantum calculus

2010/12/13 by Piotr Multarzynski, Multarzynski, Piotr · 1 citation
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.1012.2611

arxiv created 2011/01/09 · arxiv updated 2011/01/11

Abstract

Quantum calculus based on the right invertible divided difference operator D_σ^τ is proposed here in context of algebraic analysis \citeDPR. The linear operator D_σ^τ, specified with the help of two fixed maps σ , τ\colon M→ M, generalizes the quantum derivative operator used in h- or q-calculus \citekac. In the domain of D_σ^τ there are special elements defined as D_σ^τ-polynomials and the corresponding Taylor formula is proved.

Cited by

• Polynomials in algebraic analysis

Related

• Polynomials in algebraic analysis
• An algebraic analysis framework for quantum calculus
• Matched differential calculus on the quantum groups GL_q(2,C),SL_q(2,C),C_q(2|0)
• Symmetric Quantum Calculus
• Differential Calculus on Quantum Spaces and Quantum Groups