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Explicit Formulas Associated with Some Families of Generalized Bernoulli and Euler Polynomials |
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| Authors: | |
| Institution: | 1.Faculty of Mathematics,USTHB,Algiers,Algeria;2.Department of Mathematics and Statistics,University of Victoria,Victoria,Canada;3.Department of Medical Research, China Medical University Hospital,China Medical University,Taichung,Taiwan, Republic of China |
| Abstract: | In this paper, we propose and derive several new explicit formulas of the generalized Bernoulli and Euler polynomials in terms of the generalized Stirling numbers of the second kind. A study of some families of the modified generalized Euler polynomials yields an interesting algorithm for calculating the generalized Euler polynomials. |
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