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- W1983951523 abstract "By applying the symmetry of the fermionic p-adic q-integral on , which is defined by T. Kim, J. Difference Equ. Appl. 14(12) (2008), pp. 1267–1277, we give recurrence identities (h, q)-Euler polynomials and the alternating sums of powers of consecutive (h, q)-integers. By using the fermionic p-adic q-integral and multinomial theorem, we construct generating functions of the higher-order (h, q)-extension of Euler polynomials and numbers. By using these numbers and polynomials, we give new approach to the complete sums of products of (h, q)-extension of Euler polynomials and numbers. We define some identities involving (h, q)-extension of Euler polynomials and numbers. Furthermore, by applying derivative operator to the generating function of the (h, q)-Euler polynomials of higher-order, we construct Barnes' type multiple (h, q)-Euler zeta function. This function interpolates (h, q)-Euler polynomials of higher-order at negative integers. We also define multiple partial (h, q)-Euler zeta function which interpolates the numbers at negative integers." @default.
- W1983951523 created "2016-06-24" @default.
- W1983951523 creator A5014126422 @default.
- W1983951523 date "2010-11-01" @default.
- W1983951523 modified "2023-09-24" @default.
- W1983951523 title "Complete sum of products of (<i>h</i>,<i>q</i>)-extension of Euler polynomials and numbers" @default.
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- W1983951523 doi "https://doi.org/10.1080/10236190902813967" @default.
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