Published January 1, 2018 | Version v1
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APOSTOL TYPE (p, q)-FROBENIUS-EULER POLYNOMIALS AND NUMBERS

  • 1. Iskenderun Tech Univ, Fac Engn & Nat Sci, Dept Basic Concepts Engn, TR-31200 Antakya, Turkey
  • 2. Gaziantep Univ, Fac Sci, Dept Math, Gaziantep, Turkey

Description

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

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