Wiener used the Poisson kernel for the Hermite polynomials to deal with the classical Fourier transform. Askey, Atakishiyev and Suslov used this approach to obtain a q-Fourier transform by using the… Expand

In 1991 Tratnik derived two systems of multivariable orthogonal Racah polynomials and considered their limit cases. q-Extensions of these systems are derived, yielding systems of multivariable… Expand

We derive some contiguous relations for very well-poised 8 7 series and use them to construct two linearly independent solutions of the three-term recurrence relation of the associated Askey-Wilson… Expand

In a world of global market competition, the secondary level education has become a part of basic education. Secondary schools are vested with the responsibility of imparting knowledge, skills and… Expand

A projection formula for the q-Wilson polynomials $p_n (x;a,b,c,d)$ is obtained which is then used to construct a reproducing kernel. Using Askey and Wilson’s q-analogue of the beta integral an… Expand