On the Identities of Symmetry for the <inline-formula><graphic file="1687-1847-2009-273545-i1.gif"/></inline-formula>-Euler Polynomials of Higher Order
<p/> <p>The main purpose of this paper is to investigate several further interesting properties of symmetry for the multivariate <inline-formula><graphic file="1687-1847-2009-273545-i2.gif"/></inline-formula>-adic fermionic integral on <inline-formula>&l...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://www.advancesindifferenceequations.com/content/2009/273545 |
| Summary: | <p/> <p>The main purpose of this paper is to investigate several further interesting properties of symmetry for the multivariate <inline-formula><graphic file="1687-1847-2009-273545-i2.gif"/></inline-formula>-adic fermionic integral on <inline-formula><graphic file="1687-1847-2009-273545-i3.gif"/></inline-formula>. From these symmetries, we can derive some recurrence identities for the <inline-formula><graphic file="1687-1847-2009-273545-i4.gif"/></inline-formula>-Euler polynomials of higher order, which are closely related to the Frobenius-Euler polynomials of higher order. By using our identities of symmetry for the <inline-formula><graphic file="1687-1847-2009-273545-i5.gif"/></inline-formula>-Euler polynomials of higher order, we can obtain many identities related to the Frobenius-Euler polynomials of higher order.</p> |
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| ISSN: | 1687-1839 1687-1847 |