ON THE HIGHER-ORDER w-q-GENOCCHI NUMBERS
By I. N. Cangul, Hacer Ozden, Veli Kurt, Yilmaz Simsek. 2009
93 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/565329db497efd3ad4cb9d99848d9fd4c6b6f3d6
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Citations in the corpus
- New approach to q-Euler polynomials of higher order (2010, methodology): “the special case x = 0, E(r) n,q(= E (r) n,q(0)) are called the n-th q-Euler numbers of order r. By (5), (6) and (7), we obtain the following proposition. Proposition 1. For r ∈ N, let F(r) q (t,x) = [2] r q X m1,...,m r=0 (−q)m1+···+m re[m1+···+m r+x] qt = X∞ n=0 E(r) n,q(x) tn n! . Then we have E(”
- A note on q-Bernstein polynomials (2010, background): “For f ∈ C[0, 1], Bernstein introduced the following well known linear operators (see [1, 3]): (1) Bn(f |x) = n ∑”
- Identities involving values of Bernstein, q-Bernoulli, and q-Euler polynomials (2011, unknown): “Zp qedμ−1(x) = 2 qet + 1 , ( see [18, 19, 4, 21]).”