Some Generating Relations Involving Laguerre Polynomials of Several Variables


Keywords:
Laguerre polynomials of several variables, Generating function and Generating relation, Multiple series identities, Multi-variable Humbert functionAbstract
The present paper deals with $m$-variable polynomial sets generated by the functions in the form $e^t \phi_1 (x_1 t) \phi_2 (x_2 t)\phi_3(x_3 t)\ldots \phi_m(x_m t)$.Two generating relations are obtained as applications of general theorems associated with multiple series identities.
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