Publications of L. Verde-Star

Department of Mathematics

Universidad Autonoma Metropolitana, Iztapalapa, Mexico City

E mail: verde@star.izt.uam.mx

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Links to PDF files are local (internal)

G. Bengochea and L. Verde-Star Linear algebraic foundations of the operational calculi. PDF file

Plenary Lecture, ILAS 2010 Pisa, L. Verde-Star PDF file

Verde-Star, Luis Infinite triangular matrices, q-Pascal matrices, and determinantal representations. PDF file

Verde-Star, Luis, Interpolacion con polinomios y funciones racionales, Notas de curso, ENOAN Puebla 2009. PDF file

MR2572088 Verde-Star, Luis Rational functions. Amer. Math. Monthly 116 (2009), no. 9, 804--827. 12-01 (16T05) PDF file
MR2485693 (2010e:15026) Aragón-González, G.; Aragón, J. L.; Rodríguez-Andrade, M. A.; Verde-Star, L. Reflections, rotations, and Pythagorean numbers. Adv. Appl. Clifford Algebr. 19 (2009), no. 1, 1--14. 15A66 (11D09 12D15) PDF file
MR2352044 (2009e:34017) Verde-Star, Luis On linear matrix differential equations. Adv. in Appl. Math. 39 (2007), no. 3, 329--344. 34A30 (15A24 34A05 34A55) PDF file
MR2323608 (2008f:33012) Verde-Star, Luis Symmetric multivariate Chebyshev polynomials. Appl. Math. Comput. 187 (2007), no. 1, 530--534. (Reviewer: H. S. P. Shrivastava) 33C45 (33C90 41A10 42C05) PDF file
MR2300609 (2008c:15022) Verde-Star, Luis Interpolation approach to the spectral resolution of square matrices. Enseign. Math. (2) 52 (2006), no. 3-4, 239--253. (Reviewer: Steven Joel Miller) 15A18 PDF file
MR2156441 (2006d:15015) Verde-Star, Luis Functions of matrices. Linear Algebra Appl. 406 (2005), 285--300. 15A15 (34A30 39A10) PDF file
MR2125230 (2006d:82077) Rodríguez, M. A.; Aragón, J. L.; Verde-Star, L. Clifford algebra approach to the coincidence problem for planar lattices. Acta Crystallogr. Sect. A 61 (2005), no. 2, 173--184. (Reviewer: Bertfried Fauser) 82D25 (15A66) PDF file
MR2080409 (2005h:15046) Verde-Star, Luis A Lagrange matrices approach to confluent Cauchy matrices. Linear Algebra Appl. 389 (2004), 249--268. 15A23 PDF file
MR2050105 (2005c:15032) Verde-Star, Luis Groups of generalized Pascal matrices. Linear Algebra Appl. 382 (2004), 179--194. 15A30 PDF file
MR1936729 (2003j:33010) Verde-Star, Luis; Srivastava, H. M. Some binomial formulas of the generalized Appell form. J. Math. Anal. Appl. 274 (2002), no. 2, 755--771. (Reviewer: V. L. Deshpande) 33C05 (11B65 33D15 39A13) PDF file
MR1820562 (2002k:16074) Verde-Star, Luis Hopf algebras in analysis. Clifford algebras and their applications (Ixtapa, 1999). Internat. J. Theoret. Phys. 40 (2001), no. 1, 41--54. 16W30 PDF file
MR1751146 (2001c:39049) Elizarraraz, David; Verde-Star, Luis Fractional divided differences and the solution of differential equations of fractional order. Adv. in Appl. Math. 24 (2000), no. 3, 260--283. (Reviewer: Anatoly Kilbas) 39B52 (26A33 33E12 34A05) PDF file
MR1742120 (2001c:34004) Verde-Star, Luis Solving linear differential-like equations. Amer. Math. Monthly 107 (2000), no. 3, 205--218. (Reviewer: Mark A. McKibben) 34A05 (34A30 39B99) PDF file
MR1699231 (2000h:39008) Verde-Star, Luis Sections and lacunary sums of linearly recurrent sequences. Adv. in Appl. Math. 23 (1999), no. 2, 176--197. (Reviewer: Alain J. Phares) 39A10 (05A10) PDF file
MR1657725 (99m:34021) Elizarraraz, David; Verde-Star, Luis Similar operators and a functional calculus for the first-order linear differential operator. Adv. in Appl. Math. 22 (1999), no. 1, 29--47. (Reviewer: S. K. Chatterjea) 34A46 PDF file
MR1656484 (2000b:05131) Verde-Star, Luis Representation of symmetric functions as Gram determinants. Adv. Math. 140 (1998), no. 1, 128--143. (Reviewer: Jason Fulman) 05E05 PDF file
MR1638471 Verde-Star, Luis Taylor functionals and the solution of linear difference equations. Applications of Fibonacci numbers, Vol. 7 (Graz, 1996), 449--462, Kluwer Acad. Publ., Dordrecht, 1998. 39A10 PDF file
MR1487090 (98m:41009) Verde-Star, Luis Divided differences and their applications. Approximation and optimization, Vol. I (Cluj-Napoca, 1996), 121--138, Transilvania, Cluj-Napoca, 1997. (Reviewer: Dumitru Acu) 41A05 (16W30 39B05) PDF file
MR1479017 (99g:34027) Elizarraraz, David; Verde-Star, Luis On a class of differential equations that contains the equations of Euler and Chebyshev. Adv. in Appl. Math. 19 (1997), no. 4, 514--528. (Reviewer: V. Sree Hari Rao) 34A30 (12H20) PDF file
MR1453408 (99g:39032) Verde-Star, Luis An algebraic approach to convolutions and transform methods. Adv. in Appl. Math. 19 (1997), no. 1, 117--143. (Reviewer: E. J. Taft) 39B32 (16W30) PDF file
MR1425379 (97i:26015) Oaxaca-Adams, Guillermo; Verde-Star, Luis An extremal problem concerning the derivatives of a polynomial at its roots. Stud. Appl. Math. 98 (1997), no. 1, 47--59. (Reviewer: Maurice Mignotte) 26C10 PDF file
MR1363770 (96k:16075) Verde-Star, Luis A Hopf algebra structure on rational functions. Adv. Math. 116 (1995), no. 2, 377--388. (Reviewer: E. J. Taft) 16W30 PDF file
MR1362852 (96i:65065) Verde-Star, Luis Solution of linear differential equations by the method of divided differences. Adv. in Appl. Math. 16 (1995), no. 4, 484--508. (Reviewer: J. C. Butcher) 65L12 (34A05 34A30) PDF file
MR1358814 (96k:39026) Verde-Star, Luis Divided differences and linearly recursive sequences. Stud. Appl. Math. 95 (1995), no. 4, 433--456. (Reviewer: Dumitru Acu) 39A70 (11B37 47B39) PDF file
MR1353198 (96g:15028) Verde-Star, Luis Biorthogonal polynomial bases and Vandermonde-like matrices. Stud. Appl. Math. 95 (1995), no. 3, 269--295. (Reviewer: Gong Ning Chen) 15A57 PDF file
MR1274239 (95h:34020) Verde-Star, Luis Operator identities and the solution of linear matrix difference and differential equations. Stud. Appl. Math. 91 (1994), no. 2, 153--177. (Reviewer: Julio Ruiz-Claeyssen) 34A30 (34A05 39A10 41A05 65D15) PDF file
MR1204869 (94d:41008) Verde-Star, Luis Polynomial sequences of interpolatory type. Stud. Appl. Math. 88 (1993), no. 3, 153--172. (Reviewer: Dumitru Acu) 41A05 (05A40) PDF file
MR1124372 (92i:65027) Verde-Star, Luis Divided differences and combinatorial identities. Stud. Appl. Math. 85 (1991), no. 3, 215--242. (Reviewer: Dumitru Acu) 65D05 (05A19 41A05) PDF file
MR1008561 (90i:41013) Verde-Star, Luis Biorthonormal systems, partial fractions, and Hermite interpolation. Adv. in Appl. Math. 10 (1989), no. 3, 348--357. (Reviewer: D. S. Lubinsky) 41A05 (15A09) PDF file
MR1032247 (91b:05012) Verde-Star, Luis Interpolation and combinatorial functions. Stud. Appl. Math. 79 (1988), no. 1, 65--92. (Reviewer: Christian Krattenthaler) 05A10 (05A15 05A19 05A30 41A05) PDF file
MR0935273 (89e:65036) Verde-Star, Luis Inverses of generalized Vandermonde matrices. J. Math. Anal. Appl. 131 (1988), no. 2, 341--353. (Reviewer: V. Pereyra) 65F05 (15A09) PDF file
MR0812936 (87d:05027) Verde-Star, Luis Dual operators and Lagrange inversion in several variables. Adv. in Math. 58 (1985), no. 1, 89--108. (Reviewer: Heinrich Niederhausen) 05A40 (05A15) PDF file