Academic Work

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Academic Group

Profile

Professor Luis Verde Star is a distinguished professor of this house of studies, currently he is a Full-Time Professor at the Department of Mathematics of the Division of Basic Sciences and Engineering of the Universidad Autónoma Metropolitana (UAM) Iztapalapa Campus.

In 1969, he completed his undergraduate studies in Mathematical and Physical Sciences at the Instituto Tecnológico de Estudios Superiores de Monterrey, Campus Monterrey. Subsequently, he completed his graduate studies at the University of Wisconsin. He obtained his Master's degree in Mathematical Sciences in 1973 and his Ph.D. in Mathematical Sciences in 1977 with the thesis entitled "Infnite matrices and representaton of linear operators commutng with shifs".

Academic Work

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Academic Group

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• Discrete mathematics

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Some examples of publications

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Open Access	References	UN SDGs
OA	Verde-Star, L. (2023).Linearization and connection coefficients of polynomial sequences: A matrix approach. Linear Algebra and Its Applications,672195-209
	Akkus, I., Kizilaslan, G., Verde-Star, L. (2023).A unified approach to generalized Pascal-like matrices: q-analysis. Linear Algebra and Its Applications,673138-159
OA	Bengochea, G., Verde-Star, L., Ortigueira, M. (2022).Solution of Equations with q-Derivatives and Ward’s Derivatives Using an Operational Method. Filomat,36(5) 1487-1498
	Verde-Star, L. (2021).Infinite Matrices in the Theory of Orthogonal Polynomials. SEMA SIMAI Springer Series,22309-327
	Verde-Star, L. (2021).A matrix approach to generalized Delannoy and Schröder arrays. Journal of Integer Sequences,24(4)
	Bengochea, G., Ortigueira, M., Verde-Star, L. (2021).Operational calculus for the solution of fractional differential equations with noncommensurate orders. Mathematical Methods in the Applied Sciences,44(10) 8088-8096
OA	Verde-Star, L. (2021).A unified construction of all the hypergeometric and basic hypergeometric families of orthogonal polynomial sequences. Linear Algebra and Its Applications,627242-274
OA	Verde-Star, L. (2019).Construction of generalized rotations and quasi-orthogonal matrices. Special Matrices,7(1) 107-113
	Bengochea, G., Ortigueira, M., Verde-Star, L. and 1 more (...) (2019).Recursive-operational method for fractional systems: System theory without Laplace transform. Applications in Engineering, Life and Social Sciences, Part B,119-147
	Bengochea, G., Verde–star, L., Ortigueira, M. (2018).Operational method for the solution of ordinary differential equations using Hermite series. Mathematical Communications,23(2) 279-293
OA	Bengochea, G., Verde-Star, L., Ortigueira, M. (2018).Operational Solution to the Nonlinear Klein-Gordon Equation. Communications in Theoretical Physics,69(5) 506-512
OA	Arenas-Herrera, M.I., Verde-Star, L. (2017).Representation of doubly infinite matrices as non-commutative Laurent series. Special Matrices,5(1) 250-257
OA	Verde-Star, L. (2017).Polynomial sequences generated by infinite Hessenberg matrices. Special Matrices,5(1) 64-72
OA	Verde-Star, L. (2015).Elementary triangular matrices and inverses of k-Hessenberg and triangular matrices. Special Matrices,3(1) 250-256
	Bengochea, G., Verde-Star, L. (2015).An operational approach to the Emden-Fowler equation. Mathematical Methods in the Applied Sciences,38(18) 4630-4637
	Mandujano, J.R., Verde-Star, L. (2014).Explicit expressions for the matrix exponential function obtained by means of an algebraic convolution formula. Electronic Journal of Differential Equations,2014
	Bengochea, G., Verde-Star, L. (2014).An Algebra of Exponential Polynomials as the Cofinite Dual of the Hopf Algebra of Polynomials. Communications in Algebra,42(7) 3086-3095
OA	Verde-Star, L. (2014).Recurrence coefficients and difference equations of classical discrete orthogonal and q-orthogonal polynomial sequences. Linear Algebra and Its Applications,440(1) 293-306
OA	Verde-Star, L. (2013).Characterization and construction of classical orthogonal polynomials using a matrix approach. Linear Algebra and Its Applications,438(9) 3635-3648

Courses offered

*Courses are conducted in spanish

Num.	Trim.	Course Name	Level
1	23O	Matemáticas Discretas	Licenciatura
2	23P	Variable Compleja I	Licenciatura
3	23I	Álgebra Lineal II	Licenciatura
4	22O	Análisis Funcional Aplicado	Posgrado
5	22P	Álgebra Lineal Aplicada II	Licenciatura
6	22I	Análisis Complejo	Posgrado
7	20O	Álgebra Lineal Aplicada II	Licenciatura
8	20O	Proyecto de Investigación III	Licenciatura
9	20P	Proyecto de Investigación II	Licenciatura
10	20P	Análisis Funcional	Posgrado
11	20I	Proyecto de Investigación I	Licenciatura

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