Apostol type (P, Q)-Frobenius-euler polynomials and numbers
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CitationDuran, U., Acikgoz, M. (2018). Apostol type (P, Q)-Frobenius-euler polynomials and numbers. Kragujevac Journal of Mathematics, 42(4), 555-567. doi: 10.5937/kgjmath1804555d
In the present paper, we introduce (p, q)-extension of Apostol type Frobenius-Euler polynomials and numbers and investigate some basic identities and properties for these polynomials and numbers, including addition theorems, difference equations, derivative properties, recurrence relations and so on. Then, we provide integral representations, explicit formulas and relations for these polynomials and numbers. Moreover, we discover (p, q)-extensions of Carlitz's result [L. Carlitz, Mat. Mag. 32 (1959), 247-260] and Srivastava and Pintér addition theorems in [H. M. Srivastava, A. Pinter, Appl. Math. Lett. 17 (2004), 375-380]. © 2018 University of Kragujevac, Faculty of Science.
SourceKragujevac Journal of Mathematics
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