On the Symmetric Properties of Higher-Order Twisted <inline-formula><graphic file="1687-1847-2010-765259-i1.gif"/></inline-formula>-Euler Numbers and Polynomials
<p/> <p>In 2009, Kim et al. gave some identities of symmetry for the twisted Euler polynomials of higher-order, recently. In this paper, we extend our result to the higher-order twisted <inline-formula><graphic file="1687-1847-2010-765259-i2.gif"/></inline-formul...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://www.advancesindifferenceequations.com/content/2010/765259 |
| Summary: | <p/> <p>In 2009, Kim et al. gave some identities of symmetry for the twisted Euler polynomials of higher-order, recently. In this paper, we extend our result to the higher-order twisted <inline-formula><graphic file="1687-1847-2010-765259-i2.gif"/></inline-formula>-Euler numbers and polynomials. The purpose of this paper is to establish various identities concerning higher-order twisted <inline-formula><graphic file="1687-1847-2010-765259-i3.gif"/></inline-formula>-Euler numbers and polynomials by the properties of <inline-formula><graphic file="1687-1847-2010-765259-i4.gif"/></inline-formula>-adic invariant integral on <inline-formula><graphic file="1687-1847-2010-765259-i5.gif"/></inline-formula>. Especially, if <inline-formula><graphic file="1687-1847-2010-765259-i6.gif"/></inline-formula>, we derive the result of Kim et al. (2009).</p> |
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| ISSN: | 1687-1839 1687-1847 |