LINEAR SYMMETRY OF THE MODIFIED q-EULER POLYNOMIALS
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초록
In this paper we investigate certain symmetric properties of some sums involving the modified q-Euler polynomials. Using the fermionic p-adic invariant integral on Zp, we consider several sets of integral expressions on which S4 acts transitively. Then we determine the isotropy subgroup of an integral expression in each set. As a result the symmetric identities of sums involving modified q-Euler polynomials follow immediately. Here the obtained isotropy subgroups are D4, V4 or S3.
Abstract
In this paper we investigate certain symmetric properties of some sums involving the modified q-Euler polynomials. Using the fermionic p-adic invariant integral on Zp, we consider several sets of integral expressions on which S4 acts transitively. Then we determine the isotropy subgroup of an integral expression in each set. As a result the symmetric identities of sums involving modified q-Euler polynomials follow immediately. Here the obtained isotropy subgroups are D4, V4 or S3.
참고문헌 (10)
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