2015/12/10 by Keleshteri, Marzieh Eini, Mahmudov, Nazim I.
#FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.1512.03255
In this research, as the new results of our previously proposed definition for the new class of 2D q-Appell polynomials, we derive some interesting relations including the recurrence relation and partial q-difference equation of the aforementioned family of q-polynomials. Next, as some famous examples of this new defined class of q-polynomials, we obtain the corresponding relations to the 2D q-Bernoulli polynomials, 2D q-Euler polynomials as well as 2D q-Genocchi polynomials.