TY - JOUR A2 - Sritharan, Sivaguru AU - Yasmin, Ghazala PY - 2014 DA - 2014/05/29 TI - Some Properties of Generalized Gegenbauer Matrix Polynomials SP - 780649 VL - 2014 AB - Various new generalized forms of the Gegenbauer matrix polynomials are introduced using the integral representation method, which allows us to express them in terms of Hermite matrix polynomials. Certain properties for these new generalized Gegenbauer matrix polynomials such as recurrence relations and expansion in terms of Hermite matrix polynomials are derived. Further, several families of bilinear and bilateral generating matrix relations for these polynomials are established and their applications are presented. SN - 2314-498X UR - https://doi.org/10.1155/2014/780649 DO - 10.1155/2014/780649 JF - International Journal of Analysis PB - Hindawi Publishing Corporation KW - ER -