-
computing any
entry in a
holonomic sequence.
Software for
working with
holonomic functions includes: The
HolonomicFunctions [1]
package for Mathematica...
- and time t {\displaystyle t\,\!}
Holonomic module in the
theory of D-modules
Holonomic function, a
smooth function that is a
solution of a
linear homogeneous...
-
called holonomic functions. This
class of
functions is
stable under sums, products, differentiation, integration, and
contains many
usual functions and special...
- have a
holonomic generating function are equivalent.
Holonomic functions are
closed under the
Hadamard product operation ⊙ on
generating functions. The...
-
elementary functions and
special functions have a
Taylor series whose coefficients satisfy such a
recurrence relation (see
holonomic function). Solving...
-
special functions such as Airy
function,
error function,
Bessel functions, and all
hypergeometric functions. A
fundamental property of
holonomic functions is...
- operators. The
strongest results are
obtained for over-determined
systems (
holonomic systems), and on the
characteristic variety cut out by the symbols, which...
- de
Bruijn prize van der Hoeven,
Joris (1999). "Fast
evaluation of
holonomic functions".
Theoretical Computer Science. 210: 199–215. doi:10.1016/S0304-3975(98)00102-9...
- In
classical mechanics,
holonomic constraints are
relations between the
position variables (and
possibly time) that can be
expressed in the following...
- In
mathematics and
mathematical physics, a
coordinate basis or
holonomic basis for a
differentiable manifold M is a set of
basis vector fields {e1, ....
