On (p; q)-Bernoulli, (p; q)-Euler and (p; q)-Genocchi polynomials
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KünyeUğur, D., Açıkgöz, M., Araci, S., (2016). On (p; q)-Bernoulli, (p; q)-Euler and (p; q)-Genocchi polynomials, 0(0), 1-27.
In the present paper, we introduce a new kind of Bernoulli, Euler and Genocchi polynomials based on the (p; q)-calculus and investigate their some properties involving addition theorems, di¤erence equations, derivative properties, recurrence relationships, and so on. We also derive (p; q)-analogues of some known formulae belong to usual Bernoulli, Euler and Genocchi polynomials. Moreover, we get (p; q)-extension of Cheon s main result in . Furthermore, we discover (p; q)-analogue of the main results given earlier by Srivastava and Pintér in .