Results 61 to 70 of about 3,124,594 (207)
Identities of Symmetry for Higher-Order Generalized q-Euler Polynomials
Abstract and Applied Analysis, 2014 We investigate the properties of symmetry in two variables related to multiple Euler q-l-function which interpolates higher-order q-Euler polynomials at negative integers.
D. V. Dolgy +3 more
doaj +1 more source
Stancu type generalization of modified Gamma operators based on $q$-integers
, 2017 In recent years, one of the most interesting areas of research in approximation theory is the application of q-calculus (see [1]). Phillips [15] first introduced the q-analogue of well-known Bernstein polynomials.
Shunqi Chen +2 more
semanticscholar +1 more source
Efficient q-integer linear decomposition of multivariate polynomials [PDF]
Journal of Symbolic Computation, 2019 We present two new algorithms for the computation of the q-integer linear decomposition of a multivariate polynomial. Such a decomposition is essential for the treatment of q-hypergeometric symbolic summation via creative telescoping and for describing the q-counterpart of Ore-Sato theory.
Mark Giesbrecht +3 more
openaire +3 more sources
A one line factoring algorithm [PDF]
, 2012 We describe a variant of Fermat’s factoring algorithm which is competitive with SQUFOF in practice but has heuristic run time complexity O(n1/3) as a general factoring algorithm.
William B. Hart, Hart, William B.
core +1 more source
Generalized q-Stirling Numbers and Their Interpolation Functions
Axioms, 2013 In this paper, we define the generating functions for the generalized q-Stirling numbers of the second kind. By applying Mellin transform to these functions, we construct interpolation functions of these numbers at negative integers.
Yilmaz Simsek +2 more
doaj +1 more source
On Evaluation of the Dirichlet Series at Positive Integers by q-Calculation [PDF]
, 1994 By q-calculation, we prove some recursion formulas for the values of Riemann ζ-function ζ(s) at positive even integers, and also prove some series representation for the values of ζ(s) at positive odd integers.
Tsumura, H.
core +1 more source
q-Genocchi Numbers and Polynomials Associated with q-Genocchi-Type l-Functions
Advances in Difference Equations, 2008 The main purpose of this paper is to study on generating functions of the q-Genocchi numbers and polynomials. We prove new relation for the generalized q-Genocchi numbers which is related to the q-Genocchi numbers and q-Bernoulli numbers.
Daeyeoul Kim +3 more
doaj +1 more source
Journal of Inequalities and Applications, 2010 We define multiple Nörlund-type twisted q-Euler polynomials and numbers and give interpolation functions of multiple Nörlund-type twisted q-Euler polynomials at negative integers.
Leechae Jang
doaj +1 more source
Even harmonious labelings of disjoint graphs with a small component
AKCE International Journal of Graphs and Combinatorics, 2015 A graph G with q edges is said to be harmonious if there is an injection f from the vertices of G to the group of integers modulo q such that when each edge xy is assigned the label f(x)+f(y)(modq), the resulting edge labels are distinct. If G is a tree,
Joseph A. Gallian, Danielle Stewart
doaj +1 more source
On the rate of convergence of modified \(\alpha\)-Bernstein operators based on q-integers
Journal of Numerical Analysis and Approximation Theory, 2022 In the present paper we define a q-analogue of the modified a-Bernstein operators introduced by Kajla and Acar (Ann. Funct. Anal. 10 (4) 2019, 570-582). We study uniform convergence theorem and the Voronovskaja type asymptotic theorem. We determine the estimate of error in the approximation by these operators by virtue of second order modulus of ...
Purshottam Agrawal +2 more
openaire +2 more sources