93 citations · 692 across the 41 of their papers we have counts for
4 papers · 2 filters
Generating functions of Chebyshev-like polynomials
Alin Bostan, Bruno Salvy, Khang Tran
In this short note, we give simple proofs of several results and conjectures formulated by Stolarsky and Tran concerning generating functions of some families of Chebyshev-like pol…
Chebyshev Expansions for Solutions of Linear Differential Equations
Alexandre Benoit, Bruno Salvy
A Chebyshev expansion is a series in the basis of Chebyshev polynomials of the first kind. When such a series solves a linear differential equation, its coefficients satisfy a line…
A Non-Holonomic Systems Approach to Special Function Identities
Frédéric Chyzak, Manuel Kauers, Bruno Salvy
We extend Zeilberger's approach to special function identities to cases that are not holonomic. The method of creative telescoping is thus applied to definite sums or integrals inv…
Effective Bounds for P-Recursive Sequences
Marc Mezzarobba, Bruno Salvy
We describe an algorithm that takes as input a complex sequence given by a linear recurrence relation with polynomial coefficients along with initial values, and outputs a…