Interpolation function of the (h,q) ( h , q ) -extension of twisted Euler numbers
In [H. Ozden, Y. Simsek, I.N. Cangul, Generating functions of the (h,q) ( h , q ) -extension of Euler polynomials and numbers, Acta Math. Hungarica, in press (doi:10.1007/510474-008-7139-1)], by using p p -adic q q -invariant integral on Zp Z p in the fermionic sense, Ozden etal. constructed generating functions of the (h,q) ( h , q ) -extension of Euler polynomials and numbers. They defined (h,q) ( h , q ) -Euler zeta functions and (h,q) ( h , q ) -Euler l l -functions. They also raised the following problem: Find a p p -adic twisted interpolation function of the generalized twisted (h,q) ( h , q ) -Euler numbers,  E n , ? , w ( h ) ( q ) . The aim of this paper is to give a partial answer to this problem. Therefore, we constructed twisted (h,q) ( h , q ) -partial zeta function and twisted p p -adic (h,q) ( h , q ) -Euler l l -functions:
q) ( h q) ( h q) ( h q) ( h q) ( h twisted p p -adic (h p p -adic q q -deformed fermionic integral p p p p p q q q q q twisted q q -euler numbers and polynomials q q q q q zeta and l l -functions l l l l l q ) -l l -functions p p p p p (h q ) (h q ) ( h q ) l l l l l