Digital Commons @ IWU

On the Applications of the Girard-Waring Identities, Tian-Xiao He, Peter J.-S. Shiue
Tian-Xiao He

A-sequences, Z-sequence, and B-sequences of Riordan matrices, Tian-Xiao He
Tian-Xiao He

Divisibility of Generalized Catalan Numbers and Raney Numbers, Tian-Xiao He, Jacob Bobrowski, Peter J.-S. Shiue
Tian-Xiao He

A Unified Approach for the Catalan Matrices by Using Riordan Arrays, Tian-Xiao He, Yan-Ni Dong, Sheng-liang Yang, Yan-Xue Xu
Tian-Xiao He

Permanents of Tridiagonal and Hessenberg Matrices Representing Recursive Number and Polynomial Sequences, Tian-Xiao He, Ximing Dong
Tian-Xiao He

Sequence Characterizations of Double Riordan Arrays and Their Compressions, Tian-Xiao He
Tian-Xiao He

Some Matrix Identities on Colored Motzkin Paths, Tian-Xiao He, Sheng-liang Yang, Yan-Ni Dong
Tian-Xiao He

(m, r)-CENTRAL RIORDAN ARRAYS AND THEIR APPLICATIONS, Tian-Xiao He, Sheng-liang Yang, Yan-Xue Xu
Tian-Xiao He

Double Riordan Arrays and Their Compressions, Fourth International Symposium, on Riordan Arrays and Related Topics, Tian-Xiao He
Tian-Xiao He

Riordan Arrays and Double Riordan Arrays, Tian-Xiao He
Tian-Xiao He

A Unified Approach to Construct a Class of Daubechies Orthogonal Scaling Functions, Tian-Xiao He, Tung Nguyen
Tian-Xiao He

Duals of the Bernoulli Numbers and polynomials and the Euler numbers and polynomials, Tian-Xiao He, Jinze Zheng
Tian-Xiao He

Application of Polynomial Interpolation in the Chinese Remainder Problem, Tian-Xiao He, S. Macdonald, P. J.-S. Shiue
Tian-Xiao He

Row Sums and Alternating Sums of Riordan Arrays, Tian-Xiao He, Louis W. Shapiro
Tian-Xiao He

Shift Operators Defined in the Riordan Group and Their Applications, Tian-Xiao He
Tian-Xiao He

Applications of Riordan matrix functions to Bernoulli and Euler polynomials, Tian-Xiao He
Tian-Xiao He

Convexity of Spherical Bernstein-B´ezier Patches and Circular Bernstein-B´ezier Curves, Tian-Xiao He, Ram Mohapatray
Tian-Xiao He

Application of Fa´a Di Bruno’s Formula in the Construction of Combinatorial Identities, Tian-Xiao He
Tian-Xiao He

Asymptotic Expansions and Computation of Generalized Stirling Numbers and Generalized Stirling Functions, Tian-Xiao He
Tian-Xiao He

Asymptotic Expansions and Computation of Generalized Stirling Numbers and Generalized Stirling Functions, Tian-Xiao He
Scholarship

Composite Dilation Wavelets with High Degrees, Tian-Xiao He
Tian-Xiao He

Composite Dilation Wavelets with High Degrees, Tian-Xiao He
Scholarship

Enumeration Problems for a Linear Congruence Equation, Tian-Xiao He, Wun-Seng Chou, Peter Shiue
Scholarship

Polynomials that have Golden Ratio Zeros, Tian-Xiao He, Jack Maier, Kurt Vanness
Scholarship

On an Extension of Riordan Array and its Application in the Construction of Convolution-type and Abel-type Identities, Tian-Xiao He, Leetsch Hsu, Xing Ron Ma
Scholarship

Hyperbolic Expressions of Polynomial Sequences and Parametric Number Sequences Defined by Linear Recurrence Relations of Order 2, Tian-Xiao He, Peter Shiue, Tsui-Wei Weng
Scholarship

Enumeration Problems for a Linear Congruence Equation, Tian-Xiao He, Wun-Seng Chou, Peter Shiue
Tian-Xiao He

Hyperbolic Expressions of Polynomial Sequences and Parametric Number Sequences Defined by Linear Recurrence Relations of Order 2, Tian-Xiao He, Peter J.-S. Shiue, Tsui-Wei Weng
Tian-Xiao He

On an Extension of Riordan Array and its Application in the Construction of Convolution-type and Abel-type Identities, Tian-Xiao He, Leetsch Hsu, Xing Ron Ma
Tian-Xiao He

Polynomials that have Golden Ratio Zeros, Tian-Xiao He, Jack Maier, Kurt Vanness
Tian-Xiao He

Characterization of (c)-Riordan arrays, Gegenbauer-Humbert-type Polynomial Sequences, and (c)-Bell Polynomials, Tian-Xiao He, Henry Gould
Scholarship

Characterization of (c)-Riordan arrays, Gegenbauer-Humbert-type Polynomial Sequences, and (c)-Bell Polynomials, Tian-Xiao He, Henry Gould
Tian-Xiao He

Parametric Catalan Numbers and Catalan Triangles, Tian-Xiao He
Scholarship

Q-analogues of Symbolic Operators, Tian-Xiao He, Michael Dancs
Scholarship

Impulse Response Sequences and Construction of Number Sequence Identities, Tian-Xiao He
Scholarship

Expression and Computation of Generalized Stirling Numbers, Tian-Xiao He
Scholarship

Schroder Matrix as Inverse of Delannoy Matrix, Tian-Xiao He, Sheng-liang Yang, Sai-nan Zheng, Shao-peng Yuan
Scholarship

On the Construction of Number Sequence Identities, Tian-Xiao He, Wun-Seng Chou
Scholarship

Parametric Catalan Numbers and Catalan Triangles, Tian-Xiao He
Tian-Xiao He

Schroder Matrix as Inverse of Delannoy Matrix, Tian-Xiao He, Sheng-liang Yang, Sai-nan Zheng, Shao-peng Yuan
Tian-Xiao He

Expression and Computation of Generalized Stirling Numbers, Tian-Xiao He
Tian-Xiao He

On the Construction of Number Sequence Identities, Tian-Xiao He, Wun-Seng Chou
Tian-Xiao He

Q-analogues of Symbolic Operators, Tian-Xiao He, Michael Dancs
Tian-Xiao He

Impulse Response Sequences and Construction of Number Sequence Identities, Tian-Xiao He
Tian-Xiao He

A Unified Approach to Generalized Stirling Functions, Tian-Xiao He
Scholarship

A Unified Approach to Generalized Stirling Functions, Tian-Xiao He
Tian-Xiao He

The Characterization of Riordan Arrays and Sheffer-type Polynomial Sequences, Tian-Xiao He
Scholarship

The Characterization of Riordan Arrays and Sheffer-type Polynomial Sequences, Tian-Xiao He
Tian-Xiao He

A Note on Horner's Method, Tian-Xiao He, P. J.-S. Shiue
Scholarship

Eulerian Polynomials and B-Splines, Tian-Xiao He
Scholarship

Fuss-Catalan Matrices and Their Weighted Sums, Tian-Xiao He, Louis Shapiro
Tian-Xiao He

Eulerian Polynomials and B-Splines, Tian-Xiao He
Tian-Xiao He

A Note on Horner's Method, Tian-Xiao He, P. J.-S. Shiue
Tian-Xiao He

Sequences of Numbers Meet the Generalized Gegenbauer-Humbert Polynomials, Tian-Xiao He, Peter Shiue, Tsui-Wei Weng
Scholarship

Sequences of Numbers Meet the Generalized Gegenbauer-Humbert Polynomials, Tian-Xiao He, Peter J.-S. Shiue, Tsui-Wei Weng
Tian-Xiao He

Characterizations of Orthogonal Generalized Gegenbauer-Humbert Polynomials and Orthogonal Sheffer-type Polynomials, Tian-Xiao He
Scholarship

Sequences of Non-Gegenbauer-Humbert Polynomials Meet the Generalized Gegenbauer-Humbert Polynomials, Tian-Xiao He, Peter Shiue
Scholarship

Some Dense Subsets of Real Numbers and their Applications, Tian-Xiao He, Peter Shiue, Xiaoya Zha
Scholarship

Generalized Exponential Euler Polynomials and Exponential Splines, Tian-Xiao He
Tian-Xiao He

Generalized Exponential Euler Polynomials and Exponential Splines, Tian-Xiao He
Scholarship

Sequences of Non-Gegenbauer-Humbert Polynomials Meet the Generalized Gegenbauer-Humbert Polynomials, Tian-Xiao He, Peter Shiue
Tian-Xiao He

Characterizations of Orthogonal Generalized Gegenbauer-Humbert Polynomials and Orthogonal Sheffer-type Polynomials, Tian-Xiao He
Tian-Xiao He

Some Dense Subsets of Real Numbers and their Applications, Tian-Xiao He, Peter Shiue, Xiaoya Zha
Tian-Xiao He

Generalized Stirling Numbers and Generalized Stirling Functions, Tian-Xiao He
Tian-Xiao He

Riordan arrays associated with Laurent series and generalized Sheffer-type groups, Tian-Xiao He
Scholarship

Generalized Zeta Functions, Tian-Xiao He
Scholarship

Riordan arrays associated with Laurent series and generalized Sheffer-type groups, Tian-Xiao He
Tian-Xiao He

Generalized Zeta Functions, Tian-Xiao He
Tian-Xiao He

Boundary Type Quadrature Formulas Over Axially Symmetric Regions, Tian-Xiao He
Scholarship

Boundary Type Quadrature Formulas Over Axially Symmetric Regions, Tian-Xiao He
Tian-Xiao He

A Pair of Operator Summation Formulas and Their Applications, Tian-Xiao He, Leetsch Hsu, Dongsheng Yin
Scholarship

On Sequences of Numbers and Polynomials Defined by Linear Recurrence Relations of Order 2, Tian-Xiao He, Peter Shiue
Scholarship

A Pair of Operator Summation Formulas and Their Applications, Tian-Xiao He, Leetsch C. Hsu, Dongsheng Yin
Tian-Xiao He

On Sequences of Numbers and Polynomials Defined by Linear Recurrence Relations of Order 2, Tian-Xiao He, Peter J.-S. Shiue
Tian-Xiao He

Sequence Characterization of Riordan Arrays, Tian-Xiao He, Renzo Sprugnoli
Scholarship

Sequence Characterization of Riordan Arrays, Tian-Xiao He, Renzo Sprugnoli
Tian-Xiao He

Characterization of Compactly Supported Renable Splines with Integer Matrix, Tian-Xiao He, Yujing Guana
Scholarship

Characterization of Compactly Supported Renable Splines with Integer Matrix, Tian-Xiao He, Yujing Guana
Tian-Xiao He

A Symbolic Operator Approach to Power Series Transformation-Expansion Formulas, Tian-Xiao He
Scholarship

A Symbolic Operator Approach to Power Series Transformation-Expansion Formulas, Tian-Xiao He
Tian-Xiao He

A symbolic operator approach to several summation formulas for power series II, Tian-Xiao He, Peter Shiue, L. C. Hsu
Scholarship

Padé Spline Functions, Tian-Xiao He
Scholarship

A symbolic operator approach to several summation formulas for power series II, Tian-Xiao He, Peter J.S. Shiue, L. C. Hsu
Tian-Xiao He

Padé Spline Functions, Tian-Xiao He
Tian-Xiao He

The Sheffer Group and the Riordan Group, Tian-Xiao He, Peter Shiue, Leetsch Hsu
Scholarship

Construction of Biorthogonal B-spline Type Wavelet Sequences with Certain Regularities, Tian-Xiao He
Scholarship

Fourier transform of Bernstein–Bézier polynomials, Tian-Xiao He, Charles Chui, Qingtang Jiang
Scholarship

Symbolization of generating functions; an application of the Mullin–Rota theory of binomial enumeration, Tian-Xiao He, Peter s, Leetsch Hsu
Scholarship

The Sheffer Group and the Riordan Group, Tian-Xiao He, Peter J.S. Shiue, Leetsch C. Hsu
Tian-Xiao He

Construction of Biorthogonal B-spline Type Wavelet Sequences with Certain Regularities, Tian-Xiao He
Tian-Xiao He

Fourier transform of Bernstein–Bézier polynomials, Tian-Xiao He, Charles K. Chui, Qingtang Jiang
Tian-Xiao He

Symbolization of generating functions; an application of the Mullin–Rota theory of binomial enumeration, Tian-Xiao He, Peter J.S. s, Leetsch C. Hsu
Tian-Xiao He

On the Generalized Möbius Inversion Formulas, Tian-Xiao He, Peter Shiue3, Leetsch Hsu
Scholarship

Numerical approximation to ζ(2n+1), Tian-Xiao He, Michael Dancs
Scholarship

Multivariate Expansion Associated with Sheffer-type Polynomials and Operators, Tian-Xiao He, Leetsch Hsu, Peter Shiue
Scholarship

On the Convergence of the Summation Formulas Constructed by Using a Symbolic Operator Approach, Tian-Xiao He, Leetsch Hsu, Peter Shiue
Scholarship

An Euler-type formula for ζ(2k +1), Tian-Xiao He, Michael Dancs
Scholarship

An Euler-Type Formula for Zeta (2k+1), Tian-Xiao He
Tian-Xiao He

An Euler-type formula for ζ(2k +1), Tian-Xiao He, Michael J. Dancs
Tian-Xiao He

On the Generalized Möbius Inversion Formulas, Tian-Xiao He, Peter J. S. Shiue3, Leetsch C. Hsu
Tian-Xiao He

Numerical approximation to ζ(2n+1), Tian-Xiao He, Michael J. Dancs
Tian-Xiao He

On the Convergence of the Summation Formulas Constructed by Using a Symbolic Operator Approach, Tian-Xiao He, Leetsch C. Hsu, Peter J.-S. Shiue
Tian-Xiao He

Multivariate Expansion Associated with Sheffer-type Polynomials and Operators, Tian-Xiao He, Leetsch Hsu, Peter Shiue
Tian-Xiao He

A Pair of General Series-Transformation Formulas, Tian-Xiao He, Leetsch Hsu, Peter Shiue
Scholarship

A Pair of General Series-Transformation Formulas, Tian-Xiao He, Leetsch Hsu, Peter Shiue
Tian-Xiao He

If F(x) =∫_x^2x f(t) dt Is Constant, Must f(t) = c/t ?, Tian-Xiao He
Scholarship

If F(x) =∫_x^2x f(t) dt Is Constant, Must f(t) = c/t ?, Tian-Xiao He
Tian-Xiao He

MRA Frame Wavelets with Certain Regularities Associated with the Refinable Generators of Shift Invariant Spaces, Tian-Xiao He
Scholarship

On an Extension of Abel-Gontscharoff's Expansion Formula, Tian-Xiao He, Leetsch Hsu, Peter Shiue
Scholarship

A Symbolic Operator Approach to Several Summation Formulas for Power Series, Tian-Xiao He, Leetsch Hsu, Peter Shiue, D. Torney
Scholarship

On an Extension of Abel-Gontscharoff's Expansion Formula, Tian-Xiao He, Leetsch C. Hsu, Peter J.-S. Shiue
Tian-Xiao He

A Symbolic Operator Approach to Several Summation Formulas for Power Series, Tian-Xiao He, Leetsch Hsu, Peter Shiue, D. Torney
Tian-Xiao He

MRA Frame Wavelets with Certain Regularities Associated with the Refinable Generators of Shift Invariant Spaces, Tian-Xiao He
Tian-Xiao He

On Multivariate Abel-Gontscharoff Interpolation, Tian-Xiao He
Scholarship

Biorthogonal Spline Type Wavelets, Tian-Xiao He
Scholarship

On Multivariate Abel-Gontscharoff Interpolation, Tian-Xiao He
Tian-Xiao He

Biorthogonal Spline Type Wavelets, Tian-Xiao He
Tian-Xiao He

Boundary-type quadrature and boundary element method, Tian-Xiao He
Scholarship

On Abel-Gontscharoff-Gould's polynomials, Tian-Xiao He, Leetsch Hsu, Peter Shiue
Scholarship

Boundary-type quadrature and boundary element method, Tian-Xiao He
Tian-Xiao He

On Abel-Gontscharoff-Gould's polynomials, Tian-Xiao He, Leetsch Hsu, Peter Shiue
Tian-Xiao He

Dimensionality-Reducing Expansion, Boundary Type Quadrature Formulas, and the Boundary Element Method, Tian-Xiao He
Scholarship

Stable Refinable Generators of Shift Invariant Spaces with Certain Regularities and Vanishing Moments, Tian-Xiao He
Scholarship

Analysis, Combinatorics and Computing, Tian-Xiao He, Peter J.S. Shiue, Zhongkai Li
IWU Authors Bookshelf

Dimensionality-Reducing Expansion, Boundary Type Quadrature Formulas, and the Boundary Element Method, Tian-Xiao He
Tian-Xiao He

Stable Refinable Generators of Shift Invariant Spaces with Certain Regularities and Vanishing Moments, Tian-Xiao He
Tian-Xiao He

Biorthogonal Wavelets with Certain Regularities, Tian-Xiao He
Scholarship

Dimensionality Reducing Expansion of Multivariate Integration, Tian-Xiao He
IWU Authors Bookshelf

Biorthogonal Wavelets with Certain Regularities, Tian-Xiao He
Tian-Xiao He

Biorthogonal Wavelets with Certain Regularities, Tian-Xiao He
Tian-Xiao He

Biorthogonal Wavelets with Certain Regularities, Tian-Xiao He
Tian-Xiao He

Wavelet Analysis and Multiresolution Methods (Lecture Notes in Pure and Applied Mathematics), Tian-Xiao He
IWU Authors Bookshelf

C¹ Quadratic Macroelements and C¹ Orthogonal Multiresolution Analyses in 2D, Tian-Xiao He
Scholarship

Boundary quadrature formulas and their applications, Tian-Xiao He
Scholarship

A Brief Biography of Professor L.C. Hsu (Lizhi Xu), Tian-Xiao He
Scholarship

A Brief Biography of Professor L.C. Hsu (Lizhi Xu), Tian-Xiao He
Tian-Xiao He

C¹ Quadratic Macroelements and C¹ Orthogonal Multiresolution Analyses in 2D, Tian-Xiao He
Tian-Xiao He

Boundary quadrature formulas and their applications, Tian-Xiao He
Tian-Xiao He

Short Time Fourier Transform, Integral Wavelet Transform, and Wavelet Functions Associated with Splines, Tian-Xiao He
Scholarship

Short Time Fourier Transform, Integral Wavelet Transform, and Wavelet Functions Associated with Splines, Tian-Xiao He
Tian-Xiao He

Shape Criteria of Bernstein-Bezier Polynomials over Simplexes, Tian-Xiao He
Scholarship

Shape Criteria of Bernstein-Bezier Polynomials over Simplexes, Tian-Xiao He
Tian-Xiao He

Bivariate C¹ Quadratic Finite Elements and Vertex Splines, Tian-Xiao He
Scholarship

Bivariate C¹ Quadratic Finite Elements and Vertex Splines, Tian-Xiao He
Tian-Xiao He

On the Dimension of Bivariate Superspline Spaces, Tian-Xiao He
Scholarship

On the Dimension of Bivariate Superspline Spaces, Tian-Xiao He
Tian-Xiao He

On a General Class of Multivariate Linear Smoothing Operators, Tian-Xiao He
Scholarship

On Minimal and Quasi-Minimal Supported Bivariate Splines, Tian-Xiao He
Scholarship

Asymptotic Properties of Positive Summation-integral Operators, Tian-Xiao He
Scholarship

On Minimal and Quasi-Minimal Supported Bivariate Splines, Tian-Xiao He
Tian-Xiao He

Asymptotic Properties of Positive Summation-integral Operators, Tian-Xiao He
Tian-Xiao He

On a General Class of Multivariate Linear Smoothing Operators, Tian-Xiao He
Tian-Xiao He