Digital Commons @ IWU

A Quantitative Analysis on BitMEX Perpetual Inverse Futures XBTUSD Contract, Yue Wu
Undergraduate Economic Review

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

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

Pricing Asian Options: Volatility Forecasting as a Source of Downside Risk, Adam T. Diehl
Undergraduate Economic Review

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

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

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

Construction of Nonlinear Expression for Recursive Number Sequences, Tian-Xiao He
Scholarship

Construction of Nonlinear Expression for Recursive Number Sequences, Tian-Xiao He
Tian-Xiao He

A Computational Study of Icart's Function, Thomas Simmons
CrissCross

The Pascal Matrix Function and Its Applications to Bernoulli Numbers and Bernoulli Polynomials and Euler Numbers and Euler Polynomials, Tian-Xiao He, Jeff Liao, Peter Shiue
Scholarship

Wavelet Analysis and Applications in Economics and Finance, Tian-Xiao He, Tung Nguyen, '15
Scholarship

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

Wavelet Analysis and Applications in Economics and Finance, Tian-Xiao He, Tung Nguyen, '15
Tian-Xiao He

The Pascal Matrix Function and Its Applications to Bernoulli Numbers and Bernoulli Polynomials and Euler Numbers and Euler Polynomials, Tian-Xiao He, Jeff Liao, Peter Shiue
Tian-Xiao He

Construction of Spline Type Orthogonal Scaling Functions and Wavelets, Tian-Xiao He, Tung Nguyen, '15
Tian-Xiao He

Decomposing Complete Graphs into a Graph Pair of Order 6, Yizhe Gao, Daniel Roberts, Faculty Advisor
John Wesley Powell Student Research Conference

Construction of Spline Type Orthogonal Scaling Functions and Wavelets, Tung Nguyen, Tian-xiao He, Faculty Advisor
John Wesley Powell Student Research Conference

In Pursuit of the Ringel-Kotzig Conjecture: Uniform K-Distant Trees are Graceful, Kimberly Wenger, Daniel Roberts, Faculty Advisor
John Wesley Powell Student Research Conference

Bus Route Method and Isomorphism, Anh Phan, Daniel Roberts, Faculty Advisor
John Wesley Powell Student Research Conference

Elliptic Curves and Cryptography, Linh Nguyen, Andrew Shallue, Faculty Advisor
John Wesley Powell Student Research Conference

Students Ahead of the Curve in Regional Mathematics Competition, Tia Patsavas
News and Events

Four Named to Endowed Professorships, Kim Hill
News and Events

Frames and Spline Framelets, Tian-Xiao He, Tung Nguyen, '15, Nahee Kim, '15
Tian-Xiao He

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

Mathematics Professor’s Publications Add Up, Kim Hill
News and Events

Parametric Catalan Numbers and Catalan Triangles, 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

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

Eulerian Polynomials and B-Splines, Tian-Xiao He
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

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

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

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

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

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

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

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

Counting the Number of Proofs in the Commutative Lambek Calculus, Hans Joerg Tiede
Hans Joerg Tiede

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

The Pascal Matrix Function and Its Applications to Bernoulli Numbers and Bernoulli Polynomials and Euler Numbers and Euler Polynomials, Tian-Xiao He, Jeff Liao, Peter Shiue
Tian-Xiao He