# Manuals/calci/hankel

**HANKEL(Number)**

- is the order of the hankel matrix.

## Description

- This function gives the matrix with the property of hankel matrix with the given order.
- A hankel matrix is a square matrix with constant skew diagonals.
- If the i,j element of Hankel matrix A is denoted , then we have

.

- i.e., The form of Hankel matrix is:

.

- A hankel matrix is also called as catalecticant matrix.
- Here HANKEL(3) is gives the hankel matrix of order 3 with decimal values.
- A Hankel matrix is an upside-down Toeplitz matrix.
- A matrix whose entries along a parallel to the main anti-diagonal are equal, for each parallel.
- Sometimes this type of matrices are also called as orthosymmetric matrices.

## Examples

1. hankel(2)

0.8035830636448866 | 0.8035830636448866 |

0.8035830636448866 | 0.001881340454530589 |

2. HANKEL(4)

0.3661268740416319 | 0.041098489444291175 | 0.5811984241396517 | 0.5811984241396517 |

0.041098489444291175 | 0.5811984241396517 | 0.5811984241396517 | 0.041098489444291175 |

0.5811984241396517 | 0.5811984241396517 | 0.041098489444291175 | 0.3661268740416319 |

0.5811984241396517 | 0.041098489444291175 | 0.3661268740416319 | 0.06363525915203883 |

## See Also

## References