My question concerns the name for determinants of Hankel-matrices $H = (s_{i+j})_{i,j = 0}^n$.

In the classical textbook of Shohat and Tamarkin (1943) "The Problem of Moments", these determinants are defined without a name (on page viii).

In several math articles, I found the name Hankel determinant. In the field of physics (especially methods of moments), where I work, however, the common name seems to be "Hankel-Hadamard determinant"

Does anyone can give me a hint on how Hadamard is connected to this? Any help would be highly appreciated!