On the generalization of the Euler polynomials with the real parameters |
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Authors: | Levent Kargin Veli Kurt |
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Institution: | Department of Mathematics, Faculty of Art and Science, University of Akdeniz, TR-07058 Antalya, Turkey |
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Abstract: | In this study, we give multiplication formula for generalized Euler polynomials of order α and obtain some explicit recursive formulas. The multiple alternating sums with positive real parameters a and b are evaluated in terms of both generalized Euler and generalized Bernoulli polynomials of order α. Finally we obtained some interesting special cases. |
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Keywords: | Euler polynomials Multiplication formula Alternating sums |
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