Exercises for A Hyper-Catalan Series Solution to Polynomial Equations, and the Geode
Combinatorics
2025-07-18 v1
Authors:
Dean Rubine
Abstract
We present exercises with solutions related to A Hyper-Catalan Series Solution to Polynomial Equations, and the Geode.
Cite
@article{arxiv.2507.13045,
title = {Exercises for A Hyper-Catalan Series Solution to Polynomial Equations, and the Geode},
author = {Dean Rubine},
journal= {arXiv preprint arXiv:2507.13045},
year = {2025}
}
Related papers
View all related →
Combinatorics · Mathematics
Finite Interpretations of a Hyper-Catalan Series Solution to Polynomial Equations and Visualizations
Pratham Mukewar
2025-07-29
General Mathematics · Mathematics
Solution of Polynomial Equations with Nested Radicals
Nikos Bagis
2022-12-20
Mathematical Physics · Physics
On a polynomial transformation of hypergeometric equations, Heun's differential equation and exceptional Jacobi polynomials
Mahouton Norbert Hounkonnou, André Ronveaux
2013-06-21
Symbolic Computation · Computer Science
Towards identification of explicit solutions to overdetermined systems of differential equations
Maxim Zaytsev, V'yacheslav Akkerman
2019-12-30
Algebraic Geometry · Mathematics
Polynomial Equations: Theory and Practice
Simon Telen
2023-04-24
Combinatorics · Mathematics
Some observations about super Catalan numbers, corresponding orthogonal polynomials, and their q-analogues
Johann Cigler
2014-10-23
Symbolic Computation · Computer Science
Finding Hyperexponential Solutions of Linear ODEs by Numerical Evaluation
Fredrik Johansson, Manuel Kauers, Marc Mezzarobba
2013-01-14
Mathematical Physics · Physics
Hypergeometric solutions of some algebraic equations
A. M. Perelomov
2009-11-10
General Mathematics · Mathematics
Modular resolutions by polyseries
Mahdi-Tahar Brahimi
2026-01-06
Mathematical Physics · Physics
On polynomial solutions of Heun equation
N. Gurappa, Prasanta K. Panigrahi
2009-11-10
Complex Variables · Mathematics
Hypercomplex method for solving linear PDEs with constant coefficients
Vitalii Shpakivskyi
2018-11-28
Complex Variables · Mathematics
A note on a series containing the Laguerre polynomials
Y. S. Kim, A. K. Rathie, R. B. Paris
2013-08-13
Number Theory · Mathematics
Rational solutions of polynomail-exponential equations
Ayhan Gunaydin
2012-06-12
Combinatorics · Mathematics
Generalized Catalan recurrences, Riordan arrays, elliptic curves, and orthogonal polynomials
Paul Barry
2019-10-03
Classical Analysis and ODEs · Mathematics
Polynomial Sequences Associated with the Moments of Hypergeometric Weights
Diego Dominici
2016-05-02
Mathematical Physics · Physics
New hypergeometric series solutions to the general Heun equation
R. Sokhoyan, D. Melikdzanian, A. Ishkhanyan
2009-09-08
Symbolic Computation · Computer Science
On Algorithmic Estimation of Analytic Complexity for Polynomial Solutions to Hypergeometric Systems
Vitaly A. Krasikov
2020-07-21
Classical Analysis and ODEs · Mathematics
Recurrence Relations of the Hypergeometric-type functions on the quadratic-type lattices
Rezan Sevinik Adıgüzel
2019-05-06
Optimization and Control · Mathematics
Computation with Polynomial Equations and Inequalities arising in Combinatorial Optimization
Jesus A. De Loera, Peter N. Malkin, Pablo A. Parrilo
2011-12-08
Classical Analysis and ODEs · Mathematics
On the Properties of Special Functions on the linear-type lattices
R. Alvarez-Nodarse, J. L. Cardoso
2014-02-06
Numerical Analysis · Mathematics
Construction of polynomial particular solutions of linear constant-coefficient partial differential equations
Thomas G. Anderson, Marc Bonnet, Luiz M. Faria, Carlos Pérez-Arancibia
2023-12-21
Classical Analysis and ODEs · Mathematics
Generalized-hypergeometric solutions of the biconfluent Heun equation
D. Yu. Melikdzhanian, A. M. Ishkhanyan
2019-07-31
Mathematical Physics · Physics
Fundamental solutions of pseudo-differential operators over p-adic fields
W. A. Zuniga-Galindo
2016-09-07
Mathematical Physics · Physics
A Note on the Generalized and Universal Associated Legendre Equations
Keegan L. A. Kirk, Kyle R. Bryenton, Nasser Saad
2018-08-01
Classical Analysis and ODEs · Mathematics
Pad\'e interpolation and hypergeometric series
Masatoshi Noumi
2015-03-10