In mathematics, and more specifically in analysis, a holonomic function is a smooth function of several variables that is a solution of a system of linear...

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...

Holonomic brain theory is a branch of neuroscience investigating the idea that human consciousness is formed by quantum effects in or between brain cells...

In classical mechanics, holonomic constraints are relations between the position variables (and possibly time) that can be expressed in the following...

process function X may be either holonomic or non-holonomic. For a holonomic process function, an auxiliary state function (or integrating factor) λ may...

have a holonomic generating function are equivalent. Holonomic functions are closed under the Hadamard product operation ⊙ on generating functions. The...

elementary and special functions have a Taylor series whose coefficients satisfy such a recurrence relation (see holonomic function). Solving a recurrence...

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...