Jackson integral
nounEtymology Introduced by Frank Hilton Jackson.
1
Mathematics, Sciences The series expansion ∫₀ᵃf(x),rm d_qx=(1-q),a∑ₖ₌₀ ᪲qᵏf(qᵏa). for real variable a and function of a real variable f(x).
- The Jackson integral enjoys several elementary properties of the usual integral.1993, D. B. Fuks, Unconventional Lie Algebras, page 52:
- By taking residues, we can represent this integral in terms of a Jackson integral.2001, Publications of the Research Institute for Mathematical Sciences, page 72:
1 more example
- We can find elliptic solutions to Yang-Baxter equations as connection functions among Jackson integrals giving asymptotics corresponding to asymptotic regions […]2012, Simon Gindikin, James Lepowsky, Robert Wilson, Functional Analysis on the Eve of the 21st Century, page 11: