Minimal Representations and Algebraic Relations for Single Nested Products

[1] Abramov S.A.(1971)On the summation of rational functions Zh. Vychisl. Mat. Fiz. 11 1071-1074

[2] Abramov S.A.(1975)The rational component of the solution of a first-order linear recurrence relation with a rational right-hand side USSR Comput. Math. Math. Phys. 15 216-221

[3] Abramov S.A.(1989)Rational solutions of linear differential and difference equations with polynomial coefficients USSR Comput. Math. Math. Phys. 29 7-12

[4] Abramov S.A.(2010)Polynomial ring automorphisms, rational J. Symb. Comput. 45 684-708

[5] Petkovšek M.(2006)Multi-variable Zeilberger and Almkvist-Zeilberger algorithms and the sharpening of Wilf-Zeilberger theory Adv. Appl. Math. 37 139-152

[6] Apagodu M.(1999)Multibasic and mixed hypergeometric Gosper-type algorithms J. Symb. Comput. 28 711-736

[7] Zeilberger D.(2000)On solutions of linear ordinary difference equations in their coefficient field J. Symb. Comput. 29 841-877

[8] Bauer A.(2000)An extension of Zeilberger’s fast algorithm to general holonomic functions Discrete Math. 217 115-134

[9] Petkovšek M.(1978)Decision procedures for indefinite hypergeometric summation Proc. Nat. Acad. Sci. USA 75 40-42

[10] Bronstein M.(2008)Differential Galois theory of linear difference equations Math. Ann. 342 333-377

[1] Abramov S.A.(1971)On the summation of rational functions Zh. Vychisl. Mat. Fiz. 11 1071-1074

[2] Abramov S.A.(1975)The rational component of the solution of a first-order linear recurrence relation with a rational right-hand side USSR Comput. Math. Math. Phys. 15 216-221

[3] Abramov S.A.(1989)Rational solutions of linear differential and difference equations with polynomial coefficients USSR Comput. Math. Math. Phys. 29 7-12

[4] Abramov S.A.(2010)Polynomial ring automorphisms, rational J. Symb. Comput. 45 684-708

[5] Petkovšek M.(2006)Multi-variable Zeilberger and Almkvist-Zeilberger algorithms and the sharpening of Wilf-Zeilberger theory Adv. Appl. Math. 37 139-152

[6] Apagodu M.(1999)Multibasic and mixed hypergeometric Gosper-type algorithms J. Symb. Comput. 28 711-736

[7] Zeilberger D.(2000)On solutions of linear ordinary difference equations in their coefficient field J. Symb. Comput. 29 841-877

[8] Bauer A.(2000)An extension of Zeilberger’s fast algorithm to general holonomic functions Discrete Math. 217 115-134

[9] Petkovšek M.(1978)Decision procedures for indefinite hypergeometric summation Proc. Nat. Acad. Sci. USA 75 40-42

[10] Bronstein M.(2008)Differential Galois theory of linear difference equations Math. Ann. 342 333-377