## Remarks on sum of products of $$(h,q)$$-twisted Euler polynomials and numbers.(English)Zbl 1140.11314

Summary: The main purpose of this paper is to construct generating functions of higher-order twisted $$(h,q)$$-extension of Euler polynomials and numbers, by using $$p$$-adic, $$q$$-deformed fermionic integral on $$\mathbb Z_{p}$$. By applying these generating functions, we prove complete sums of products of the twisted $$(h,q)$$-extension of Euler polynomials and numbers. We also define some identities involving twisted $$(h,q)$$-extension of Euler polynomials and numbers.

### MSC:

 11B68 Bernoulli and Euler numbers and polynomials
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### References:

 [3] doi:10.1016/j.jmaa.2006.09.027 · Zbl 1120.11010 [4] doi:10.1016/j.jmaa.2006.03.037 · Zbl 1112.11012 [5] doi:10.2991/jnmp.2007.14.1.3 · Zbl 1158.11009 [7] doi:10.1016/j.jnt.2004.07.003 · Zbl 1114.11019 [8] doi:10.1016/j.jmaa.2005.12.057 · Zbl 1139.11051 [10] doi:10.1016/j.jmaa.2007.03.035 · Zbl 1173.11009 [11] doi:10.1007/s000130050559 · Zbl 0986.11010 [12] doi:10.2991/jnmp.2007.14.1.5 · Zbl 1163.11015 [17] doi:10.1006/jnth.1998.2364 · Zbl 0940.11009 [18] doi:10.1155/JIA/2006/34602 · Zbl 1091.11007
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