Note on the Euler q-zeta functions
By Taekyun Kim. 2009
78 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics
View Paper: https://www.semanticscholar.org/paper/a63f0c5b7d659d67257afd606738787ac41bb899
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In Algebra and Number Theory
- Y. H. Kim
- Taekyun Kim
- Yilmaz Simsek
- Veli Kurt
- Hari M. Srivastava
- Serkan Araci
- Daeyeoul Kim
- I. N. Cangul
In Discrete Mathematics and Combinatorics
- Y. H. Kim
- Taekyun Kim
- Yilmaz Simsek
- Hari M. Srivastava
- Serkan Araci
- Veli Kurt
- I. N. Cangul
- Hacer Ozden
Citations in the corpus
- New approach to q-Euler polynomials of higher order (2010, background): “where E (r) n,q(x) are called the n-th q-Euler polynomials of order r (see [10-15]).”
- Some Approximation Properties of -Baskakov-Beta-Stancu Type Operators (2013, unknown): “The q-Jackson integrals and the q-improper integrals are defined as [12, 13]”
- On the weighted q-Bernoulli numbers and polynomials (2010, methodology): “Cp. If q ∈ C, one normally assume |q| < 1. If q ∈ Cp, then we assume |q−1|p < p− 1 p−1, so that qx = exp(xlogq) for |x|p ≤ 1. In this paper we use the following notation: [x]q = 1−qx 1−q , (see [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]). Let UD(Zp) be the space of uniformly differ”
- A note on q-Bernstein polynomials (2010, background): “In the last decade some new generalizations of well known positive linear operators based on q-integers were introduced and studied by several authors(see [1-21]).”
- Identities involving values of Bernstein, q-Bernoulli, and q-Euler polynomials (2011, unknown): “Thus, we have 2nB n(q 2) = (B(q) +E(q))n = Xn l=0 n l B l(q)E n−l(q), (41) with usual convention about replacing Bn(q) by B n(q). By (42), we get B n(q2) = 1 2n Xn l=0 n l B l(q)E n−l(q),( cf.[16]). (42) From (40) and (41), we can derive the following equation: ζ q2(−n) = (−1)n+1 q2B n+1(q 2) n+”