Articles
Parametric Catalan Numbers and Catalan Triangles, Linear Algebra and Its Applications (2013)
Here presented a generalization of Catalan numbers and Catalan triangles associated with two parameters based...
A Unified Approach to Generalized Stirling Functions, Journal of Mathematical Research with Applications (2012)
Here presented is a unified approach to generalized Stirling functions by using generalized factorial functions,...
Eulerian Polynomials and B-Splines, Journal of Computational and Applied Mathematics (2012)
Here presented is the interrelationship between Eulerian polynomials, Eulerian fractions and Euler-Frobenius polynomials, Euler-Frobenius fractions,...
Sequences of Numbers Meet the Generalized Gegenbauer-Humbert Polynomials, ISRN Discrete Mathematics (2011)
Here we present a connection between a sequence of numbers generated by a linear recurrence...
Generalized Exponential Euler Polynomials and Exponential Splines, Open Journal of Discrete Mathematics (2011)
Here presented is constructive generalization of exponential Euler polynomial and exponential splines based on the...
Sequences of Non-Gegenbauer-Humbert Polynomials Meet the Generalized Gegenbauer-Humbert Polynomials, ISRN Algebra (2011)
Here,we present a connection between a sequence of polynomials generated by a linear recurrence relation...
Riordan arrays associated with Laurent series and generalized Sheffer-type groups, Linear Algebra and its Applications (2011)
A relationship between a pair of Laurent series and Riordan arrays is formulated. In addition,...
On Sequences of Numbers and Polynomials Defined by Linear Recurrence Relations of Order 2, International Journal of Mathematics and Mathematical Sciences (2009)
Here we present a new method to construct the explicit formula of a sequence of...
Sequence Characterization of Riordan Arrays, Discrete Mathematics (2009)
In the realm of the Riordan group, we consider the characterization of Riordan arrays by...
A Symbolic Operator Approach to Power Series Transformation-Expansion Formulas, Journal of Integer Sequences (2008)
In this paper we discuss a kind of symbolic operator method by making use of...
A symbolic operator approach to several summation formulas for power series II, Discrete Mathematics (2008)
Here expounded is a kind of symbolic operator method that can be used to construct...
Fourier transform of Bernstein–Bézier polynomials, Journal of Mathematical Analysis and Applications (2007)
Explicit formulae, in terms of Bernstein–Bézier coefficients, of the Fourier transform of bivariate polynomials on...
Symbolization of generating functions; an application of the Mullin–Rota theory of binomial enumeration, Computers and Mathematics with Applications (2007)
We have found that there are more than a dozen classical generating functions that could...
The Sheffer Group and the Riordan Group, Discrete Applied Math (2007)
We define the Sheffer group of all Sheffer-type polynomials and prove the isomorphism between the...
An Euler-type formula for ζ(2k +1), Journal of Number Theory (2006)
In this short paper, we give several new formulas for ζ(n) when n is an...
Convergence of the Summation Formulas Constructed by Using a Symbolic Operator Approach, Computers and Mathematics with Applications (2006)
This paper deals with the convergence of the summation of power series, where 0 <...
Multivariate Expansion Associated with Sheffer-type Polynomials and Operators, Bulletin of the Institute of Mathematics, Academia sinica (2006)
With the aid of multivariate Sheffer-type polynomials and differential operators, this paper provides two kinds...
Numerical approximation to (2n+1), Journal of Computational and Applied Mathematics (2006)
In this short paper, we establish a family of rapidly converging series expansions by discretizing...
On the Generalized Mobius Inversion Formulas, Blletin of the Australian Mathematical Society (2006)
We provide a wide class of M¨obius inversion formulas in terms of the generalized M¨obius...
If $F(x) = \int_{x}^{2x} f(t) dt$ Is Constant, Must f(t) = c/t?, The College Mathematics Journal (2005)
A Symbolic Operator Approach to Several Summation Formulas for Power Series, J. Comput. Appl. Math. (2005)
We present a symbolic summation operator with its various expansions, and construct several summation formulas...
MRA Frame Wavelets with Certain Regularities Associated with the Re¯nable Generators of Shift Invariant Spaces, Advances in Mathematics (2005)
In this paper, we will start the discussion with the refinable generators of the shift...
On an Extension of Abel-Gontscharoff's Expansion Formula, Anal. Theory Appl. (2005)
We present a constructive generalization of Abel-Gontscharoff’s series expansion to higher dimensions. A constructive application...
Biorthogonal Spline Type Wavelets, Computers and Mathematics with Applications (2004)
Let ¢ be an orthonormal scaling function with approximation degree p - 1, and let...
On Multivariate Abel-Gontscharoff Interpolation, Advances in Constructive Approximation (2004)
By using Gould's annihilation coefficients, we obtain an explicit fundamental polynomials of Multivariate Abel-Gontscharoff Interpolation...
Boundary-type quadrature and boundary element method, Journal of Computational and Applied Mathematics (2003)
In this paper, we apply a boundary-type quadrature technique to derive a type of boundary...
On Abel-Gontscharoff-Gould's polynomials, Anal. Theory Appl. (2003)
In this paper a connective study of Gould’s annihilation coefficients and Abel-Gontscharoff polynomials is presented....
Biorthogonal Wavelets with Certain Regularities, Applied and Computational Harmonic Analysis (2001)
In this paper, we will discuss the construction of biorthogonal wavelets that possess the largest...
C^1 Quadratic Macroelements and C^1 Orthogonal Multiresolution Analyses in 2D, Computers and Mathematics with Applications (2000)
Each triangle of an arbitrary regular triangulation A of a polygonal region in R^2 is...
Short Time Fourier Transform, Integral Wavelet Transform, and Wavelet Functions Associated with Splines, J. Math. Anal. & Appl. (1998)
In this article, we discuss short time Fourier transforms, integral wavelet transforms, and wavelet series...
Shape Criteria of Bernstein-Bezier Polynomials over Simplexes, Computers & Mathematics with Applications (1995)
This paper discusses the criteria of convexity, monotonicity, and positivity of Bernstein- Bezier polynomials over...