Engineering topics

Atakishiyev, Natig M.

Publications and source records attributed to Atakishiyev, Natig M..

2 records

NASA NTRS1995

A Ramanujan-type measure for the Askey-Wilson polynomials

A Ramanujan-type representation for the Askey-Wilson q-beta integral, admitting the transformation q to q(exp -1), is obtained. Orthogonality of the Askey-Wilson polynomials with respect to a measure, entering into this representation, is proved. A simple way of evaluating the Askey-Wilson q-beta integral is also given.

Atakishiyev, Natig M.↗

NASA NTRS1995

Kravchuk functions for the finite oscillator approximation

Kravchuk orthogonal functions - Kravchuk polynomials multiplied by the square root of the weight function - simplify the inversion algorithm for the analysis of discrete, finite signals in harmonic oscillator components. They can be regarded as the best approximation set. As the number of sampling points increases, the Kravchuk expansion becomes the standard oscillator expansion.

Atakishiyev, Natig M.↗