Finite singularities and hypergeometric solutions of linear recurrence equations

From MaRDI portal
Publication:1295784

DOI10.1016/S0022-4049(99)00008-0zbMath0933.39041WikidataQ56601815 ScholiaQ56601815MaRDI QIDQ1295784

Mark van Hoeij

Publication date: 4 April 2000

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)




Related Items

Coefficients of multiplication formulas for classical orthogonal polynomials, New formulas for the linearization coefficients of some nonsymmetric Jacobi polynomials, Search for Liouvillian solutions of linear recurrence equations in the MAPLE computer algebra system, Linearization coefficients of some particular Jacobi polynomials via hypergeometric functions, New linearization formulae for the products of Chebyshev polynomials of third and fourth kinds, Symbolic conversion of holonomic functions to hypergeometric type power series, Linearization formulae for certain Jacobi polynomials, An algorithm to compute Liouvillian solutions of prime order linear difference-differential equations, Resolving sequences of operators for linear ordinary differential and difference systems of arbitrary order, Telescoping in the context of symbolic summation in Maple, Solving parameterized linear difference equations in terms of indefinite nested sums and products, On the solutions of holonomic third-order linear irreducible differential equations in terms of hypergeometric functions, Refined telescoping algorithms in RΠΣ -extensions to reduce the degrees of the denominators✱, Algorithmic determination of \(q\)-power series for \(q\)-holonomic functions, Representation of hypergeometric products of higher nesting depths in difference rings, Automatic conjecturing and proving of exact values of some infinite families of infinite continued fractions, The factorial-basis method for finding definite-sum solutions of linear recurrences with polynomial coefficients, Computing hypergeometric solutions of linear recurrence equations, Apparent singularities of linear difference equations with polynomial coefficients, \( m\)-fold hypergeometric solutions of linear recurrence equations revisited, Matrices of scalar differential operators: divisibility and spaces of solutions, Closed form solutions of linear difference equations in terms of symmetric products, Computer proofs of a new family of harmonic number identities., On linearization and connection coefficients for generalized Hermite polynomials, Laurent, rational, and hypergeometric solutions of linear \(q\)-difference systems of arbitrary order with polynomial coefficients, Subanalytic solutions of linear difference equations and multidimensional hypergeometric sequences, Particular solutions of linear differential and (\(q\)-) difference systems with hypergeometric right-hand sides, A finite sequence of Hahn-type discrete orthogonal polynomials, Inversion, Multiplication and Connection Formulae of Classical Continuous Orthogonal Polynomials, Computer Algebra, Power Series and Summation, A difference ring theory for symbolic summation, Differential Galois theory of linear difference equations, Unnamed Item, Rational solutions of ordinary difference equations, Linear difference operators with coefficients in the form of infinite sequences, New formulae between Jacobi polynomials and some fractional Jacobi functions generalizing some connection formulae, On linearization coefficients of Jacobi polynomials, Structural theorems for symbolic summation, Determining the closed forms of the anomalous dimensions and Wilson coefficients from Mellin moments by means of computer algebra, On rational and hypergeometric solutions of linear ordinary difference equations in \(\Pi\Sigma^\ast\)-field extensions, Algorithmic approach for formal Fourier series, Rational solutions of first-order algebraic ordinary difference equations, On m-Interlacing Solutions of Linear Difference Equations, Simplifying Multiple Sums in Difference Fields, New product and linearization formulae of Jacobi polynomials of certain parameters, Term Algebras, Canonical Representations and Difference Ring Theory for Symbolic Summation, The SAGEX review on scattering amplitudes Chapter 4: Multi-loop Feynman integrals


Uses Software


Cites Work