A Note on the-Genocchi Numbers and Polynomials

53 citations recorded by the source corpus.

We discuss new concept of the-extension of Genocchi numbers and give some relations between-Genocchi polynomials and-Euler numbers.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Some families of Genocchi type polynomials and their interpolation functions (2012, background): “ (sometimes called the Hurwitz-Lerch zeta function) L(λ,α,s) = Φ(e2πiλ,s,α), 11 which is a special function and generalizes the Hurwitz zeta function and polylogarithm, cf. ([2], [31], [4], [6], [7], [9], [8], [12], [17], [27]) and see also the references cited in each of these earlier works. Settin”
Extended q-euler numbers and polynomials associated with fermionic p-adic q-integral on Zp (2007, background): “MBERS AND POLYNOMIALS 3 From this, we derive (2) I−1(f 1)+I−1(f) = 2f(0), where f 1(x) = f(x+ 1). Also we have I−1(fn)+ (−1) n−1I −1(f) = 2 nX−1 x=0 (−1)n−1−xf(x), where fn(x) = f(x+n) and n ∈Z+, cf. [1,4]. For |1−q|p < 1, we consider fermionic p-adic q-integral on Zp which is the q-extension of ”
A note on the Frobenius-Euler numbers and polynomials associated with Bernstein polynomials (2012, unknown): “. Kim: (1.1) I− 1(f) = Z Z p f (ξ)dµ− (ξ) = lim N→∞ pXN−1 ξ=0 f (ξ)(−1)ξ . From (1.1), we have well known the following equality: (1.2) I−1(f1) +I−1(f) = 2f (0) here f1(x) := f (x+1) (for details, see[3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24]). 2000 Mathematics”