论文信息 - Finite singularities and hypergeometric solutions of linear recurrence equations - 字舞流文

Finite singularities and hypergeometric solutions of linear recurrence equations

Abstract In this paper the notion of finite singularities of difference operators is introduced, in order to adapt methods for differential equations to the case of recurrence equations.

Mark van Hoeij | M. V. Hoeij

[1] G. Rw. Decision procedure for indefinite hypergeometric summation , 1978 .

[2] Sergei A. Abramov,et al. q-Hypergeometric solutions of q-difference equations , 1998, Discret. Math..

[3] Moulay A. Barkatou,et al. Rational solutions of first order linear difference systems , 1998, ISSAC '98.

[4] Mark van Hoeij,et al. A method for the integration of solutions of Ore equations , 1997, ISSAC.

[5] Mark van Hoeij,et al. Rational solutions of linear difference equations , 1998, ISSAC '98.

[6] O. Ore. Theory of Non-Commutative Polynomials , 1933 .

[7] Manuel Bronstein,et al. An Introduction to Pseudo-Linear Algebra , 1996, Theor. Comput. Sci..

[8] A. Duval. Lemmes de Hensel et factorisation formelle pour les opérateurs aux différences , 1983 .

[9] A. Barkatou,et al. Sur les séries formelles solutions d'équations aux différences polynomiales , 1994 .

[10] Marius van der Put,et al. Galois Theory of Difference Equations , 1997 .

[11] Marko Petkovsek,et al. Hypergeometric Solutions of Linear Recurrences with Polynomial Coefficents , 1992, J. Symb. Comput..

[12] Emanuel Beke,et al. Die Irreducibilität der homogenen linearen Differentialgleichungen , 1894 .

[13] Mark van Hoeij,et al. Factorization of Differential Operators with Rational Functions Coefficients , 1997, J. Symb. Comput..