1 citations · 1 across the 6 of their papers we have counts for
6 papers
Complete Reductions and Idempotent Representations for -towers
Yiman Gao, Jakob Obrovsky, Carsten Schneider
-extensions form a rich class of difference rings that provide a unified algebraic framework for modeling indefinite nested sums, transcendental products, and nested product…
Complete Reduction for Derivatives in a Transcendental Liouvillian Extension
Shaoshi Chen, Hao Du, Yiman Gao +3
Transcendental Liouvillian extensions are differential fields, in which one can model poly-logarithmic, hyperexponential, and trigonometric functions, logarithmic integrals, and th…
Complete Reduction for Derivatives in a Primitive Tower
Hao Du, Yiman Gao, Wenqiao Li +1
A complete reduction for derivatives in a differential field is a linear operator on the field over its constant subfield. The reduction enables us to decompose an element …
Telescoping Algorithms for -Extensions via Complete Reductions
Shaoshi Chen, Yiman Gao, Hui Huang +1
A complete reduction on a difference field is a linear operator that enables one to decompose an element of the field as the sum of a summable part and a remainder such that the gi…
A Unified Reduction for Hypergeometric and q-Hypergeometric Creative Telescoping
Shaoshi Chen, Hao Du, Yiman Gao +2
We adapt the theory of normal and special polynomials from symbolic integration to the summation setting, and then built up a general framework embracing both the usual shift case…
Reducing Hyperexponential Functions over Monomial Extensions
Shaoshi Chen, Hao Du, Yiman Gao +1
We extend the shell and kernel reductions for hyperexponential functions over the field of rational functions to a monomial extension. Both of the reductions are incorporated into…