Frobenius-Euler and Frobenius-Genocchi Polynomials and their differential equations
Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.3, No. 2)Publication Date: 2015-06-01
Authors : Banu Yılmaz Yaşar; Mehmet Ali Özarslan;
Page : 172-180
Keywords : Frobenius-Euler polynomials Frobenius-Genocchi polynomials Frobenius-Genocchi numbers Euler numbers Euler polynomials Genocchi polynomials differential equations recurrence relations;
Abstract
Recently, Frobenius-Euler polynomial has been an active research area in Applied Mathematics and number theory. In the present paper, we obtain differential equations of Frobenius-Euler polynomials by using quasi-monomiality principle. Furthermore, we introduce Frobenius-Genocchi polynomials and obtain some recurrence relation and some differential equations.
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