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, 489503.

“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), 121.

“Characterization of Compactly Supported
Refinable Splines With Integer Matrix." (With Yujing Guan), Applicable
Analysis, 88 (2009), 13971407.

“ 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), 13401348.

“Sequence Characterization of Riordan
Arrays." (With R. Sprugnoli), Discrete Math., 309 (2009), 39623974.

“Pade Spline Functions," J.
Computational Analysis and Applications, 10(2008), No. 4, 495508.

“A Symbolic Operator Approach to Power Series
TransformationExpansion Formulas." Journal of Integer Sequences,
11(2008), 119.

“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), 34273440.

“The Sheffer Group and the Riordan
Group" (With L. C. Hsu and P. J.S. Shiue), Discrete Appl. Math., (155)
2007, 18951909.

“Symbolization of Generating Functions, An
Application of MullinRota's Theory of Binomial Enumeration," (With L. C.
Hsu and P. J.S. Shiue), Comp. & Math. with Applications, 2007, 54 (2007),
664678.

“Construction of Biorthogonal Bspline Type
Wavelet Sequences with Certain Regularities," J. Appl. Functional
Analysis, 2(2007), No. 4, 339360.

“Fourier Transform of BernsteinBezier
Polynomials" (With C. K. Chui and Q. Jiang), Math. Anal. Appl., 325
(2007), 294304.

“Multivariate Expansion Associated with
Sheffertype Polynomials and Operators" (With L. C. Hsuand P. J.S.
Shiue), Bull. Inst. Math. Acad. Sin. (N.S.) 1 (2006), no. 4, 451473.

“Numerical Approximation to ζ(2n + 1)"
(With M. J. Dancs), J. Comput. Appl. Math., August, 196( 2006), 150154.

“An EulerType Formula for ζ(2k +1),"
(With M. J. Dancs), J. Number Theory 118 (2006), 192199.

“On the Generalized Mobius Inversion
Formulas," (With L. C. Hsu and P. J.S. Shiue), the Bulletin of the
Australian Mathematical Society, 73(2006), 7988.

“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), 441450.

“On an Extension of AbelGontscharo's
Expansion Formula," (With L. C. Hsu and P. J.S. Shiue), Anal. Theory
Appl. 21(2005), 359369.

“A Pair of General SeriesTransformation
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), 1733.
Profile Details
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