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- W2772086108 abstract "The main subject of this work is to introduce and investigate a new generalizations of the Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials under the theory of post quantum calculus, denoted by ((p, q))-calculus. We call them Apostol type ((p, q))-Bernoulli polynomials of order (alpha), Apostol type ((p, q))-Euler polynomials of order (alpha) and the Apostol type ((p, q))-Genocchi polynomials of order (alpha). We derive some of their properties involving addition theorems, difference equations, derivative properties, recurrence relationships, and so on. Also, ((p, q))-analogues of some familiar formulae belonging to usual Apostol-Bernoulli, Euler and Genocchi polynomials are shown. Furthermore, ((p, q))-generalizations of Cheon’s main result [G.S. Cheon, Appl. Math. Lett. 16 (2003) 365–368] and the formula of Srivastava and Pinter [H.M. Srivastava, A. Pinter, Appl. Math. Lett. 17 (2004), 375–380] are investigated." @default.
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- W2772086108 date "2017-06-30" @default.
- W2772086108 modified "2023-10-17" @default.
- W2772086108 title "Apostol Type ((p, q))-Bernoulli, ((p, q))-Euler and ((p, q))-Genocchi Polynomials and Numbers" @default.
- W2772086108 doi "https://doi.org/10.26713/cma.v8i1.512" @default.
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