This is a supplementary lecture for the following article. When solving the harmonic oscillator using differential equations, a strange function suddenly appears along the way. H_n(x) —the Hermite ...

Abstract: In this paper, the Hermite polynomials are employed to study linear approximation models of narrowband multi-antenna signal reception (i.e., MIMO) with low-resolution quantizations. This ...

The bilinear generating function for products of two Laguerre 2D polynomials with different arguments is calculated. It corresponds to the formula of Mehler for the generating function of products of ...

Abstract: Due to the importance of its integer order counterpart in many mathematical and engineering fields, the fractional order Hermite polynomials are studied in this paper. A fractional variation ...

The calculator was created as a part of Programming languages and methodology laboratories (Warsaw University of Technology, Electrical Faculty, Applied Computer Science, semester I) ./approx -s ...

We investigate a practical and fast analytic framework for portfolio modeling and tail risk allocation using Hermite polynomials. This framework was first discussed in "An analytical framework for ...