**Prof. Tianxiao He**

Department of Mathematics and Computer Science

Illinois Wesleyan University, USA

Professor

Email: the@iwu.edu

**Qualifications**

Ph.D., Texas A&M University, USA

Ph.D., Dalian Institute of Technology, China

M.S., Hefei University of Technology, China

B. S., Hefei University of Technology, China

**Publications (Selected)**

- “Boundary type quadrature formulas over axially symmetric regions." Journal of Concrete and Applicable Mathematics, 8 (2010), No. 3, 489-503.
- “On Sequences of Numbers and Polynomials Defined by Linear Recurrence Relations of Order 2." (With Peter J.-S. Shiue), International Journal of Mathematics and Mathematical Sciences, 2009 (2009), 1-21.
- “Characterization of Compactly Supported Refinable Splines With Integer Matrix." (With Yu-jing Guan), Applicable Analysis, 88 (2009), 1397-1407.
- “ A Pair of Operator Summation Formulas and Their Applications." (With L. C. Hsu and D. Yin), International Journal Computers and Mathematics with Applications, 58 (2009), 1340-1348.
- “Sequence Characterization of Riordan Arrays." (With R. Sprugnoli), Discrete Math., 309 (2009), 3962-3974.
- “Pade Spline Functions," J. Computational Analysis and Applications, 10(2008), No. 4, 495-508.
- “A Symbolic Operator Approach to Power Series Transformation-Expansion Formulas." Journal of Integer Sequences, 11(2008), 1-19.
- “A symbolic operator approach to several summation formulas for power series II," (With L. C. Hsu and P. J.-S. Shiue), Discrete Math., 308(2008), 3427-3440.
- “The Sheffer Group and the Riordan Group" (With L. C. Hsu and P. J.-S. Shiue), Discrete Appl. Math., (155) 2007, 1895-1909.
- “Symbolization of Generating Functions, An Application of Mullin-Rota's Theory of Binomial Enumeration," (With L. C. Hsu and P. J.-S. Shiue), Comp. & Math. with Applications, 2007, 54 (2007), 664-678.
- “Construction of Biorthogonal B-spline Type Wavelet Sequences with Certain Regularities," J. Appl. Functional Analysis, 2(2007), No. 4, 339-360.
- “Fourier Transform of Bernstein-Bezier Polynomials" (With C. K. Chui and Q. Jiang), Math. Anal. Appl., 325 (2007), 294-304.
- “Multivariate Expansion Associated with Sheffer-type Polynomials and Operators" (With L. C. Hsuand P. J.-S. Shiue), Bull. Inst. Math. Acad. Sin. (N.S.) 1 (2006), no. 4, 451-473.
- “Numerical Approximation to ζ(2n + 1)" (With M. J. Dancs), J. Comput. Appl. Math., August, 196( 2006), 150-154.
- “An Euler-Type Formula for ζ(2k +1)," (With M. J. Dancs), J. Number Theory 118 (2006), 192-199.
- “On the Generalized Mobius Inversion Formulas," (With L. C. Hsu and P. J.-S. Shiue), the Bulletin of the Australian Mathematical Society, 73(2006), 79-88.
- “On the Convergence of the Summation Formulas Constructed by Using a Symbolic Operator Approach," (With L. C. Hsu and P. J.-S. Shiue), Comp. & Math. with Applications, 51(2006), 441-450.
- “On an Extension of Abel-Gontscharo's Expansion Formula," (With L. C. Hsu and P. J.-S. Shiue), Anal. Theory Appl. 21(2005), 359-369.
- “A Pair of General Series-Transformation Formulas," ((With L. C. Hsu and P. J.-S. Shiue), Math. Res. Exposition, 25(2005), 582.
- “A symbolic operator approach to several summation formulas for power series." (With L. C. Hsu, P. J.-S. Shiue, and D. C. Torney), J. Comput. Appl. Math., 177(2005), 17-33.

**Profile Details**

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