Search Results - "Fu, Amy M."

Increasing Binary Trees and the (α,β)-Eulerian Polynomials.

Authors: Chen, William Y. C. Fu, Amy M.

Source: Annals of Combinatorics. Jun2026, Vol. 30 Issue 2, p263-275. 13p.

A grammatical calculus for the Ramanujan polynomials.

Authors: Chen, William Y. C. Fu, Amy M. Wang, Elena L.

Source: Ramanujan Journal. Jun2026, Vol. 70 Issue 2, p1-17. 17p.

The Dumont Ansatz for the Eulerian Polynomials, Peak Polynomials and Derivative Polynomials.

Authors: Chen, William Y. C. Fu, Amy M.

Source: Annals of Combinatorics. Sep2023, Vol. 27 Issue 3, p707-735. 29p.

A grammatical calculus for peaks and runs of permutations.

Authors: Chen, William Y. C. Fu, Amy M.

Source: Journal of Algebraic Combinatorics. Jun2023, Vol. 57 Issue 4, p1139-1162. 24p.

Inverse Relations and the Products of Bernoulli Polynomials.

Authors: Fu, Amy M. Zhang, Iris F.

Source: Graphs & Combinatorics. May2010, Vol. 26 Issue 3, p361-367. 7p.

A context-free grammar for peaks and double descents of permutations.

Authors: Fu, Amy M.¹ fu.mei@mail.shufe.edu.cn

Source: Advances in Applied Mathematics. Sep2018, Vol. 100, p179-196. 18p.

Subjects: Permutations, Number theory, Smoothness of functions, Differential equations, Mathematical formulas, Linear systems

A grammar of Dumont and a theorem of Diaconis-Evans-Graham.

Authors: Chen, William Y.C. Fu, Amy M.

Source: Advances in Applied Mathematics. Sep2024, Vol. 160, pN.PAG-N.PAG. 1p.

Subjects: Generating functions, Inheritance & succession, Point set theory, Bijections, Grammar

A 4n-POINT ELLIPTIC INTERPOLATION FORMULA AND ITS APPLICATIONS.

Authors: CHEN, SANDY H. L. FU, AMY M.

Source: SIAM Journal on Discrete Mathematics. 2017, Vol. 31 Issue 2, p758-765. 8p.

Subjects: Interpolation algorithms, Interpolation, Approximation theory, Elliptic equations, Hypergeometric functions

Context-free grammars for permutations and increasing trees.

Authors: Chen, William Y.C. Fu, Amy M.

Source: Advances in Applied Mathematics. Jan2017, Vol. 82, p58-82. 25p.

Subjects: Permutations, Combinatorics, Tree graphs, Numerical analysis, Euler's numbers

Symmetric identities on Bernoulli polynomials

Authors: Fu, Amy M. Pan, Hao Zhang, Iris F.

Source: Journal of Number Theory. Nov2009, Vol. 129 Issue 11, p2696-2701. 6p.

Subjects: Mathematical symmetry, Functional identities, Bernoulli polynomials, Bernoulli numbers, Mathematical analysis

A Newton type rational interpolation formula

Authors: Fu, Amy M. Lascoux, Alain

Source: Advances in Applied Mathematics. Sep2008, Vol. 41 Issue 3, p452-458. 7p.

Subjects: Interpolation, Numerical analysis, Q-series, Mathematical series, Mathematical formulas

The homogeneous q-difference operator

Authors: Chen, William Y.C. Fu, Amy M. Zhang, Baoyin

Source: Advances in Applied Mathematics. Nov2003, Vol. 31 Issue 4, p659. 10p.

Subjects: Differential operators, Binomial theorem, Polynomials, Operator equations

q-identities from Lagrange and Newton interpolation

Authors: Fu, Amy M. Lascoux, Alain

Source: Advances in Applied Mathematics. Oct2003, Vol. 31 Issue 3, p527. 5p.

Subjects: Interpolation, Lagrange equations, Research

A question of Muir and Littlewood’s products

Authors: Fu, Amy M. Lascoux, Alain

Source: Linear Algebra & its Applications. Jan2007, Vol. 420 Issue 2/3, p508-516. 9p.

Subjects: Schur functions, Mathematical functions, Multiplication, Arbitrary constants

Non-symmetric Cauchy kernels for the classical groups

Authors: Fu, Amy M. Lascoux, Alain

Source: Journal of Combinatorial Theory - Series A. May2009, Vol. 116 Issue 4, p903-917. 15p.

Subjects: Nonsymmetric matrices, Cauchy problem, Kernel functions, Group theory, Polynomials, Mathematical analysis

Partition analysis and symmetrizing operators

Authors: Fu, Amy M. Lascoux, Alain

Source: Journal of Combinatorial Theory - Series A. Feb2005, Vol. 109 Issue 2, p339-343. 5p.

Subjects: Partitions (Mathematics), Schur functions, Holomorphic functions, Number theory

A -Point interpolation formula with its applications to -identities

Authors: Chen, Sandy H.L. Fu, Amy M.

Source: Discrete Mathematics; Aug2011, Vol. 311 Issue 16, p1793-1802, 10p

Faulhaber’s theorem on power sums

Authors: Chen, William Y.C. Fu, Amy M. Zhang, Iris F.

Source: Discrete Mathematics; May2009, Vol. 309 Issue 10, p2974-2981, 8p

The Gessel correspondence and the partial [formula omitted]-positivity of the Eulerian polynomials on multiset Stirling permutations.

Authors: Chen, William Y.C. Fu, Amy M. Yan, Sherry H.F.

Source: European Journal of Combinatorics. Mar2023, Vol. 109, pN.PAG-N.PAG. 1p.

A context-free grammar for the e-positivity of the trivariate second-order Eulerian polynomials.

Authors: Chen, William Y.C. Fu, Amy M.

Source: Discrete Mathematics; Jan2022, Vol. 345 Issue 1, pN.PAG-N.PAG, 1p