93 citations · 692 across the 41 of their papers we have counts for
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Asymptotics of Canonical and Saturated RNA Secondary Structures
Peter Clote, Evangelos Kranakis, Danny Krizanc +1
It is a classical result of Stein and Waterman that the asymptotic number of RNA secondary structures is . In this paper, we study combinatorial asymp…
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…
Lindelöf Representations and (Non-)Holonomic Sequences
Philippe Flajolet, Stefan Gerhold, Bruno Salvy
Various sequences that possess explicit analytic expressions can be analysed asymptotically through integral representations due to Lindelöf, which belong to an attractive but some…
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…