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
http://sun.iwu.edu/~the/frame.html