Hypergeometric Solutions of Linear Recurrences with Polynomial
... F(n, k + 1)/F(n, k) are rational functions of n and k. Using Bernstein's theory of holonomic functions, Zeilberger (1990) proved that every a of the form (1 .4) satisfies a recurrence of the form (1 .2) . Zeilberger (1991) gives an algorithm which constructs such a recurrence . Wilf and Zeilberger ( ...
... F(n, k + 1)/F(n, k) are rational functions of n and k. Using Bernstein's theory of holonomic functions, Zeilberger (1990) proved that every a of the form (1 .4) satisfies a recurrence of the form (1 .2) . Zeilberger (1991) gives an algorithm which constructs such a recurrence . Wilf and Zeilberger ( ...
Henry Cohn`s home page
... the sum of any two elements of (n) is in (n), and if a is in (n) and b is any integer, then ab is in (n). Any non-empty subset I of a ring R with these two properties (a, b ∈ I implies a + b ∈ I and a ∈ I, b ∈ R implies ab ∈ I) is called an ideal. The intuition is that every ideal is the set of mult ...
... the sum of any two elements of (n) is in (n), and if a is in (n) and b is any integer, then ab is in (n). Any non-empty subset I of a ring R with these two properties (a, b ∈ I implies a + b ∈ I and a ∈ I, b ∈ R implies ab ∈ I) is called an ideal. The intuition is that every ideal is the set of mult ...
Jugendtraum of a Mathematician
... complex numbers always has a solution in complex numbers (Gauss), and (ii) closedness under taking limits where distance between two complex numbers z1 , z2 is measured by the absolute value |z1 − z2 |. Furthermore, every proof of (i) essentially uses a property, called the conformality of the produ ...
... complex numbers always has a solution in complex numbers (Gauss), and (ii) closedness under taking limits where distance between two complex numbers z1 , z2 is measured by the absolute value |z1 − z2 |. Furthermore, every proof of (i) essentially uses a property, called the conformality of the produ ...
