Abstract. It is shown that an appropriate combination of methods, relevant to matrix polynomials and to operational calculus can be a very useful tool to establish and treat a new class of matrix LaguerreKonhauser polynomials. We explore the formal properties of the operational identities to derive a number of properties of the new class of Laguerre-Konhauser matrix polynomials and discuss the links with classical polynomials.

Very recently Atash and Al-Gonah [1] derived two extension formulas for Lauricella's function of the second kind of several variables () 2 1 r B 3 2 1 F obtained earlier by Lavoie et al. [2]. Some new and known results are also deduced as applications of our main formulas.

In this paper, we introduce the q-analogue generalized Hermite polynomials of two variables. Some recurrence relations for these q-polynomials are derived.

The q-Laguerre polynomials are important q-orthogonal polynomials whose applications and generalizations arise in many applications such as quantumgroup (oscillator algebra, etc.), q-harmonic oscillator and coding theory. In this paper, we introduce the q-analogue modified Laguerre polynomials and generalized modified Laguerre polynomials of one variable. Some recurrence relations and q-Laplace transforms for these polynomials are derived.

In this paper, some new generating relations involving the generalized hyper- geometric function and the generalized confluent hypergeometric function are established by mainly applying Taylor's Theorem. Due to their very general nature, the main results can be shown to be specialized to yield a large number of new, known, interesting and useful generating relations involving the Gauss hypergeometric function and its related functions.