Dehesa, Jesús S. Monotone complexity measures of multidimensional quantum systems with central potentials. (English) Zbl 1521.81035 J. Math. Phys. 64, No. 9, Article ID 092102, 13 p. (2023). MSC: 81P45 81P17 94A17 33C45 94A15 81Q05 PDFBibTeX XMLCite \textit{J. S. Dehesa}, J. Math. Phys. 64, No. 9, Article ID 092102, 13 p. (2023; Zbl 1521.81035) Full Text: DOI
Dehesa, Jesús S.; Sobrino, Nahual Complexity-like properties and parameter asymptotics of \(\mathfrak{L}_q\)-norms of Laguerre and Gegenbauer polynomials. (English) Zbl 1507.81057 J. Phys. A, Math. Theor. 54, No. 49, Article ID 495001, 21 p. (2021). MSC: 81P45 33C45 42C05 PDFBibTeX XMLCite \textit{J. S. Dehesa} and \textit{N. Sobrino}, J. Phys. A, Math. Theor. 54, No. 49, Article ID 495001, 21 p. (2021; Zbl 1507.81057) Full Text: DOI arXiv
Dehesa, J. S.; Moreno-Balcázar, J. J.; Toranzo, I. V. Linearization and Krein-like functionals of hypergeometric orthogonal polynomials. (English) Zbl 1410.33027 J. Math. Phys. 59, No. 12, 123504, 24 p. (2018). Reviewer: Teresa A. Mesquita (Vila Nova de Famalicão) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{J. S. Dehesa} et al., J. Math. Phys. 59, No. 12, 123504, 24 p. (2018; Zbl 1410.33027) Full Text: DOI arXiv
López-Rosa, S.; Toranzo, I. V.; Sánchez-Moreno, P.; Dehesa, J. S. Response to “Comment on “Entropy and complexity analysis of hydrogenic Rydberg atoms” [J. Math. Phys. 58, 104101 (2017)]. (English) Zbl 1373.81115 J. Math. Phys. 58, No. 10, 104102, 2 p. (2017). MSC: 81P45 94A17 33C45 PDFBibTeX XMLCite \textit{S. López-Rosa} et al., J. Math. Phys. 58, No. 10, 104102, 2 p. (2017; Zbl 1373.81115) Full Text: DOI
Temme, N. M.; Toranzo, I. V.; Dehesa, J. S. Entropic functionals of Laguerre and Gegenbauer polynomials with large parameters. (English) Zbl 1374.33015 J. Phys. A, Math. Theor. 50, No. 21, Article ID 215206, 21 p. (2017). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 33C45 94A17 PDFBibTeX XMLCite \textit{N. M. Temme} et al., J. Phys. A, Math. Theor. 50, No. 21, Article ID 215206, 21 p. (2017; Zbl 1374.33015) Full Text: DOI arXiv
Dehesa, J. S.; Guerrero, A.; Sánchez-Moreno, P. Complexity analysis of hypergeometric orthogonal polynomials. (English) Zbl 1351.60036 J. Comput. Appl. Math. 284, 144-154 (2015). MSC: 60F99 42C05 33C45 PDFBibTeX XMLCite \textit{J. S. Dehesa} et al., J. Comput. Appl. Math. 284, 144--154 (2015; Zbl 1351.60036) Full Text: DOI arXiv
Toranzo, I. V.; Dehesa, J. S.; Sánchez-Moreno, P. Frequency moments, \(L_q\) norms and Rényi entropies of general hypergeometric polynomials. (English) Zbl 1312.33034 J. Math. Chem. 52, No. 5, 1372-1385 (2014). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{I. V. Toranzo} et al., J. Math. Chem. 52, No. 5, 1372--1385 (2014; Zbl 1312.33034) Full Text: DOI
Dehesa, J. S.; Guerrero, A.; López, J. L.; Sánchez-Moreno, P. Asymptotics \((p\to\infty)\) of \(L_p\)-norms of hypergeometric orthogonal polynomials. (English) Zbl 1286.81060 J. Math. Chem. 52, No. 1, 283-300 (2014). MSC: 33C45 81P45 81V45 81V55 92E99 PDFBibTeX XMLCite \textit{J. S. Dehesa} et al., J. Math. Chem. 52, No. 1, 283--300 (2014; Zbl 1286.81060) Full Text: DOI
Sánchez-Moreno, P.; Dehesa, J. S.; Zarzo, A.; Guerrero, A. Rényi entropies, \(L_q\) norms and linearization of powers of hypergeometric orthogonal polynomials by means of multivariate special functions. (English) Zbl 1329.33013 Appl. Math. Comput. 223, 25-33 (2013). MSC: 33C45 PDFBibTeX XMLCite \textit{P. Sánchez-Moreno} et al., Appl. Math. Comput. 223, 25--33 (2013; Zbl 1329.33013) Full Text: DOI
López-Rosa, S.; Toranzo, I. V.; Sánchez-Moreno, P.; Dehesa, J. S. Entropy and complexity analysis of hydrogenic Rydberg atoms. (English) Zbl 1282.81054 J. Math. Phys. 54, No. 5, 052109, 18 p. (2013). MSC: 81P45 94A17 33C45 PDFBibTeX XMLCite \textit{S. López-Rosa} et al., J. Math. Phys. 54, No. 5, 052109, 18 p. (2013; Zbl 1282.81054) Full Text: DOI arXiv
Aptekarev, A. I.; Dehesa, J. S.; Sánchez-Moreno, P.; Tulyakov, D. N. Asymptotics of \(L_p\)-norms of Hermite polynomials and Rényi entropy of Rydberg oscillator states. (English) Zbl 1318.94027 Arvesú, Jorge (ed.) et al., Recent advances in orthogonal polynomials, special functions, and their applications. 11th international symposium, Universidad Carlos III de Madrid, Leganés, Spain, August 29 – September 2, 2011. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-6896-6/pbk). Contemporary Mathematics 578, 19-29 (2012). MSC: 94A17 11B37 33C45 42C05 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., Contemp. Math. 578, 19--29 (2012; Zbl 1318.94027) Full Text: DOI arXiv
Dehesa, J. S.; Guerrero, A.; Sánchez-Moreno, P. Information-theoretic-based spreading measures of orthogonal polynomials. (English) Zbl 1276.33011 Complex Anal. Oper. Theory 6, No. 3, 585-601 (2012). MSC: 33C45 94A17 62B10 65C60 PDFBibTeX XMLCite \textit{J. S. Dehesa} et al., Complex Anal. Oper. Theory 6, No. 3, 585--601 (2012; Zbl 1276.33011) Full Text: DOI arXiv
Dehesa, J. S.; Sánchez-Moreno, P.; Yáñez, R. J. Relative Fisher information of discrete classical orthogonal polynomials. (English) Zbl 1259.94033 J. Difference Equ. Appl. 18, No. 3, 489-508 (2012). MSC: 94A17 94A15 33C45 30G25 33D45 94A11 PDFBibTeX XMLCite \textit{J. S. Dehesa} et al., J. Difference Equ. Appl. 18, No. 3, 489--508 (2012; Zbl 1259.94033) Full Text: DOI arXiv
Sánchez-Moreno, P.; Manzano, D.; Dehesa, J. S. Direct spreading measures of Laguerre polynomials. (English) Zbl 1223.33017 J. Comput. Appl. Math. 235, No. 5, 1129-1140 (2011). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 33C45 PDFBibTeX XMLCite \textit{P. Sánchez-Moreno} et al., J. Comput. Appl. Math. 235, No. 5, 1129--1140 (2011; Zbl 1223.33017) Full Text: DOI arXiv
Guerrero, A.; Sánchez-Moreno, P.; Dehesa, J. S. Information-theoretic lengths of Jacobi polynomials. (English) Zbl 1220.33009 J. Phys. A, Math. Theor. 43, No. 30, Article ID 305203, 19 p. (2010). Reviewer: Prasanna Sahoo (Louisville) MSC: 33C45 94A17 62B10 65C60 PDFBibTeX XMLCite \textit{A. Guerrero} et al., J. Phys. A, Math. Theor. 43, No. 30, Article ID 305203, 19 p. (2010; Zbl 1220.33009) Full Text: DOI
Aptekarev, A. I.; Dehesa, J. S.; Martínez-Finkelshtein, A.; Yáñez, R. J. Quantum expectation values of \(D\)-dimensional Rydberg hydrogenic states by use of Laguerre and Gegenbauer asymptotics. (English) Zbl 1188.81183 J. Phys. A, Math. Theor. 43, No. 14, Article ID 145204 (2010). MSC: 81V45 81Q35 33C45 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., J. Phys. A, Math. Theor. 43, No. 14, Article ID 145204 (2010; Zbl 1188.81183) Full Text: DOI
Sánchez-Moreno, P.; Dehesa, J. S.; Manzano, D.; Yáñez, R. J. Spreading lengths of Hermite polynomials. (English) Zbl 1188.33017 J. Comput. Appl. Math. 233, No. 9, 2136-2148 (2010). Reviewer: Alexei Lukashov (Istanbul) MSC: 33C45 94A17 62B10 65C60 PDFBibTeX XMLCite \textit{P. Sánchez-Moreno} et al., J. Comput. Appl. Math. 233, No. 9, 2136--2148 (2010; Zbl 1188.33017) Full Text: DOI arXiv
Aptekarev, A. I.; Dehesa, J. S.; Martinez-Finkelshtein, A. Asymptotics of orthogonal polynomial’s entropy. (English) Zbl 1183.94013 J. Comput. Appl. Math. 233, No. 6, 1355-1365 (2010). Reviewer: Pushpa N. Rathie (Brasilia) MSC: 94A17 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., J. Comput. Appl. Math. 233, No. 6, 1355--1365 (2010; Zbl 1183.94013) Full Text: DOI
Aptekarev, A. I.; Dehesa, J. S.; Martínez-Finkelshtein, A.; Yáñez, R. Discrete entropies of orthogonal polynomials. (English) Zbl 1177.33018 Constr. Approx. 30, No. 1, 93-119 (2009). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 33C45 41A58 42C05 94A17 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., Constr. Approx. 30, No. 1, 93--119 (2009; Zbl 1177.33018) Full Text: DOI arXiv
Yáñez, R. J.; Sánchez-Moreno, P.; Zarzo, A.; Dehesa, J. S. Fisher information of special functions and second-order differential equations. (English) Zbl 1152.81639 J. Math. Phys. 49, No. 8, 082104, 16 p. (2008). MSC: 94A15 33C45 PDFBibTeX XMLCite \textit{R. J. Yáñez} et al., J. Math. Phys. 49, No. 8, 082104, 16 p. (2008; Zbl 1152.81639) Full Text: DOI Link
Dehesa, J. S.; Olmos, B.; Yáñez, R. J. Parameter-based Fisher’s information of orthogonal polynomials. (English) Zbl 1131.94306 J. Comput. Appl. Math. 214, No. 1, 136-147 (2008). MSC: 94A15 33C45 94A17 62B10 PDFBibTeX XMLCite \textit{J. S. Dehesa} et al., J. Comput. Appl. Math. 214, No. 1, 136--147 (2008; Zbl 1131.94306) Full Text: DOI arXiv
Dehesa, J. S.; Sánchez-Moreno, P.; Yáñez, R. J. Cramer–Rao information plane of orthogonal hypergeometric polynomials. (English) Zbl 1086.33010 J. Comput. Appl. Math. 186, No. 2, 523-541 (2006). Reviewer: Wolfram Koepf (Kassel) MSC: 33C45 42C05 94A17 62B10 PDFBibTeX XMLCite \textit{J. S. Dehesa} et al., J. Comput. Appl. Math. 186, No. 2, 523--541 (2006; Zbl 1086.33010) Full Text: DOI
Dehesa, J. S.; Yáñez, R. J.; Álvarez-Nodarse, R.; Sánchez-Moreno, P. Information-theoretic measures of discrete orthogonal polynomials. (English) Zbl 1094.94016 Allen, Linda J. S. (ed.) et al., Difference equations and discrete dynamical systems. Proceedings of the 9th international conference, Los Angeles, CA, USA, August 2–7, 2004. Hackensack, NJ: World Scientific (ISBN 981-256-520-5/hbk). 135-153 (2005). MSC: 94A17 33C45 42C05 33D45 PDFBibTeX XMLCite \textit{J. S. Dehesa} et al., in: Difference equations and discrete dynamical systems. Proceedings of the 9th international conference, Los Angeles, CA, USA, August 2--7, 2004. Hackensack, NJ: World Scientific. 135--153 (2005; Zbl 1094.94016)
Sánchez-Ruiz, Jorge; Dehesa, Jesús S. Fisher information of orthogonal hypergeometric polynomials. (English) Zbl 1081.33017 J. Comput. Appl. Math. 182, No. 1, 150-164 (2005). Reviewer: P. R. Parthasarathy (Chennai) MSC: 33C45 94A17 PDFBibTeX XMLCite \textit{J. Sánchez-Ruiz} and \textit{J. S. Dehesa}, J. Comput. Appl. Math. 182, No. 1, 150--164 (2005; Zbl 1081.33017) Full Text: DOI
Dehesa, J. S.; López-Rosa, S.; Olmos, B.; Yáñez, R. J. Information measures of hydrogenic systems, Laguerre polynomials and spherical harmonics. (English) Zbl 1076.33012 J. Comput. Appl. Math. 179, No. 1-2, 185-194 (2005). Reviewer: Luigi Gatteschi (Torino) MSC: 33C99 94A17 33C45 33C55 PDFBibTeX XMLCite \textit{J. S. Dehesa} et al., J. Comput. Appl. Math. 179, No. 1--2, 185--194 (2005; Zbl 1076.33012) Full Text: DOI
Buyarov, V.; Dehesa, J. S.; Martínez-Finkelshtein, A.; Sánchez-Lara, J. Computation of the entropy of polynomials orthogonal on an interval. (English) Zbl 1082.33004 SIAM J. Sci. Comput. 26, No. 2, 488-509 (2004). Reviewer: Jesus Illán González (Vigo) MSC: 33C45 33C55 33C90 33F05 42C05 65D20 65D30 81Q99 PDFBibTeX XMLCite \textit{V. Buyarov} et al., SIAM J. Sci. Comput. 26, No. 2, 488--509 (2004; Zbl 1082.33004) Full Text: DOI arXiv
Sánchez-Ruiz, J.; López-Artés, P.; Dehesa, J. S. Expansions in series of varying Laguerre polynomials and some applications to molecular potentials. (English) Zbl 1017.81048 J. Comput. Appl. Math. 153, No. 1-2, 411-421 (2003). MSC: 81V55 33C45 81Q10 PDFBibTeX XMLCite \textit{J. Sánchez-Ruiz} et al., J. Comput. Appl. Math. 153, No. 1--2, 411--421 (2003; Zbl 1017.81048) Full Text: DOI
Álvarez-Nodarse, R.; Dehesa, Jesús S. Distributions of zeros of discrete and continuous polynomials from their recurrence relation. (English) Zbl 1020.33004 Appl. Math. Comput. 128, No. 2-3, 167-190 (2002). Reviewer: Som Prakash Goyal (Jaipur) MSC: 33C45 PDFBibTeX XMLCite \textit{R. Álvarez-Nodarse} and \textit{J. S. Dehesa}, Appl. Math. Comput. 128, No. 2--3, 167--190 (2002; Zbl 1020.33004) Full Text: DOI
Sánchez-Ruiz, Jorge; Dehesa, Jesús S. Some connection and linearization problems for polynomials in and beyond the Askey scheme. (English) Zbl 0986.33005 J. Comput. Appl. Math. 133, No. 1-2, 579-591 (2001). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 33C45 PDFBibTeX XMLCite \textit{J. Sánchez-Ruiz} and \textit{J. S. Dehesa}, J. Comput. Appl. Math. 133, No. 1--2, 579--591 (2001; Zbl 0986.33005) Full Text: DOI
Dehesa, Jesús S.; Martínez-Finkelshtein, Andrei; Sánchez-Ruiz, Jorge Quantum information entropies and orthogonal polynomials. (English) Zbl 1008.81014 J. Comput. Appl. Math. 133, No. 1-2, 23-46 (2001). MSC: 81P99 94A17 81Q10 33C45 42C05 PDFBibTeX XMLCite \textit{J. S. Dehesa} et al., J. Comput. Appl. Math. 133, No. 1--2, 23--46 (2001; Zbl 1008.81014) Full Text: DOI
Sánchez-Ruiz, J.; Artés, P. L.; Martínez-Finkelshtein, A.; Dehesa, J. S. Linearization problems of hypergeometric polynomials in quantum physics. (English) Zbl 1015.33011 Cocolicchio, Decio (ed.) et al., Advanced special functions and applications. Proceedings of the workshop, Melfi, Italy, May 9-12, 1999. Rome: Aracne Editrice. Proc. Melfi Sch. Adv. Top. Math. Phys. 1, 103-125 (2000). Reviewer: P.R.Parthasarathy (Chennai / Madras) MSC: 33C90 33C05 33C45 PDFBibTeX XMLCite \textit{J. Sánchez-Ruiz} et al., Proc. Melfi Sch. Adv. Top. Math. Phys. 1, 103--125 (2000; Zbl 1015.33011)
Van Assche, W.; Yáñez, R. J.; González-Férez, R.; Dehesa, Jesús S. Functionals of Gegenbauer polynomials and \(D\)-dimensional hydrogenic momentum expectation values. (English) Zbl 0977.33006 J. Math. Phys. 41, No. 9, 6600-6613 (2000). Reviewer: J.Saurer (Regensburg) MSC: 33C45 81V45 PDFBibTeX XMLCite \textit{W. Van Assche} et al., J. Math. Phys. 41, No. 9, 6600--6613 (2000; Zbl 0977.33006) Full Text: DOI
Sánchez-Ruiz, Jorge; Dehesa, Jesús S. Entropic integrals of orthogonal hypergeometric polynomials with general supports. (English) Zbl 0953.33004 J. Comput. Appl. Math. 118, No. 1-2, 311-322 (2000). Reviewer: P.A.McCoy (Annapolis) MSC: 33C45 PDFBibTeX XMLCite \textit{J. Sánchez-Ruiz} and \textit{J. S. Dehesa}, J. Comput. Appl. Math. 118, No. 1--2, 311--322 (2000; Zbl 0953.33004) Full Text: DOI
Yáñez, R. J.; Van Assche, W.; González-Férez, R.; Dehesa, Jesús S. Entropic integrals of hyperspherical harmonics and spatial entropy of \(D\)-dimensional central potentials. (English) Zbl 0968.81011 J. Math. Phys. 40, No. 11, 5675-5686 (1999). MSC: 81Q05 81Q99 81P68 33C50 PDFBibTeX XMLCite \textit{R. J. Yáñez} et al., J. Math. Phys. 40, No. 11, 5675--5686 (1999; Zbl 0968.81011) Full Text: DOI
Sánchez-Ruiz, J.; Artés, P. L.; Martínez-Finkelshtein, A.; Dehesa, J. S. General linearization formulae for products of continuous hypergeometric-type polynomials. (English) Zbl 0945.33006 J. Phys. A, Math. Gen. 32, No. 42, 7345-7366 (1999). Reviewer: Alex Lukashov (Saratov) MSC: 33C45 PDFBibTeX XMLCite \textit{J. Sánchez-Ruiz} et al., J. Phys. A, Math. Gen. 32, No. 42, 7345--7366 (1999; Zbl 0945.33006) Full Text: DOI Link
Buyarov, V. S.; Dehesa, J. S.; Martínez-Finkelshtein, A.; Saff, E. B. Asymptotics of the information entropy for Jacobi and Laguerre polynomials with varying weights. (English) Zbl 0946.33005 J. Approximation Theory 99, No. 1, 153-166 (1999). Reviewer: Peter A.McCoy (Annapolis) MSC: 33C45 PDFBibTeX XMLCite \textit{V. S. Buyarov} et al., J. Approx. Theory 99, No. 1, 153--166 (1999; Zbl 0946.33005) Full Text: DOI Link
Artés, P. L.; Dehesa, J. S.; Martínez-Finkelshtein, A.; Sánchez-Ruiz, J. Linearization and connection coefficients for hypergeometric-type polynomials. (English) Zbl 0927.33005 J. Comput. Appl. Math. 99, No. 1-2, 15-26 (1998). Reviewer: H.-J.Glaeske (Jena) MSC: 33C45 26C05 PDFBibTeX XMLCite \textit{P. L. Artés} et al., J. Comput. Appl. Math. 99, No. 1--2, 15--26 (1998; Zbl 0927.33005) Full Text: DOI
Álvarez-Nodarse, Renato; Yáñez, R. J.; Dehesa, Jesús S. Modified Clebsch-Gordan-type expansions for products of discrete hypergeometric polynomials. (English) Zbl 0909.33006 J. Comput. Appl. Math. 89, No. 1, 171-197 (1998). Reviewer: W.Koepf (Leipzig) MSC: 33C45 33C65 PDFBibTeX XMLCite \textit{R. Álvarez-Nodarse} et al., J. Comput. Appl. Math. 89, No. 1, 171--197 (1998; Zbl 0909.33006) Full Text: DOI
Sánchez-Ruiz, Jorge; Dehesa, Jesús S. Expansions in series of orthogonal hypergeometric polynomials. (English) Zbl 0944.33011 J. Comput. Appl. Math. 89, No. 1, 155-170 (1998). MSC: 33C45 PDFBibTeX XMLCite \textit{J. Sánchez-Ruiz} and \textit{J. S. Dehesa}, J. Comput. Appl. Math. 89, No. 1, 155--170 (1998; Zbl 0944.33011) Full Text: DOI
Álvarez Nodarse, R.; Buendía, E.; Dehesa, J. S. The distribution of zeros of general \(q\)-polynomials. (English) Zbl 0930.33010 J. Phys. A, Math. Gen. 30, No. 19, 6743-6768 (1997). Reviewer: R.Koekoek (Delft) MSC: 33D45 PDFBibTeX XMLCite \textit{R. Álvarez Nodarse} et al., J. Phys. A, Math. Gen. 30, No. 19, 6743--6768 (1997; Zbl 0930.33010) Full Text: DOI
Dehesa, Jesús S.; Van Assche, Walter; Yáñez, Rafael Information entropy of classical orthogonal polynomials and their application to the harmonic oscillator and Coulomb potentials. (English) Zbl 0877.33005 Methods Appl. Anal. 4, No. 1, 91-110 (1997). MSC: 33C45 33C55 94A17 81V45 PDFBibTeX XMLCite \textit{J. S. Dehesa} et al., Methods Appl. Anal. 4, No. 1, 91--110 (1997; Zbl 0877.33005) Full Text: DOI
Dehesa, J. S.; Nikiforov, A. F. The orthogonality properties of \(q\)-polynomials. (English) Zbl 0867.33014 Integral Transforms Spec. Funct. 4, No. 4, 343-354 (1996). Reviewer: H.-J.Glaeske (Jena) MSC: 33D45 33C45 42C05 PDFBibTeX XMLCite \textit{J. S. Dehesa} and \textit{A. F. Nikiforov}, Integral Transforms Spec. Funct. 4, No. 4, 343--354 (1996; Zbl 0867.33014) Full Text: DOI
Aptekarev, A. I.; Buyarov, V. S.; Van Assche, W.; Dehesa, J. S. Asymptotics of entropy integrals for orthogonal polynomials. (English. Russian original) Zbl 0892.33005 Dokl. Math. 53, No. 1, 47-49 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 346, No. 4, 439-441 (1996). Reviewer: J.P.Singhal (Baroda) MSC: 33C45 94A17 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., Dokl. Math. 53, No. 1, 47--49 (1996; Zbl 0892.33005); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 346, No. 4, 439--441 (1996)
Zarzo, A.; Yáñez, R. J.; Ronveaux, A.; Dehesa, J. S. Algebraic and spectral properties of some quasiorthogonal polynomials encountered in quantum radiation. (English) Zbl 0846.33007 J. Math. Phys. 36, No. 9, 5179-5197 (1995). Reviewer: M.Idemen (İstanbul) MSC: 33C45 81Q05 PDFBibTeX XMLCite \textit{A. Zarzo} et al., J. Math. Phys. 36, No. 9, 5179--5197 (1995; Zbl 0846.33007) Full Text: DOI
Van Assche, Walter; Yáñez, R. J.; Dehesa, J. S. Entropy of orthogonal polynomials with Freud weights and information entropies of the harmonic oscillator potential. (English) Zbl 0853.94011 J. Math. Phys. 36, No. 8, 4106-4118 (1995). Reviewer: P.N.Rathie (Brasilia) MSC: 94A17 33C45 94A11 PDFBibTeX XMLCite \textit{W. Van Assche} et al., J. Math. Phys. 36, No. 8, 4106--4118 (1995; Zbl 0853.94011) Full Text: DOI Link
Zarzo, A.; Dehesa, J. S.; Yañez, R. J. Distribution of zeros of Gauss and Kummer hypergeometric functions. A semiclassical approach. (English) Zbl 0830.33001 Ann. Numer. Math. 2, No. 1-4, 457-472 (1995). Reviewer: L.Gatteschi (Torino) MSC: 33C05 33C45 33C15 PDFBibTeX XMLCite \textit{A. Zarzo} et al., Ann. Numer. Math. 2, No. 1--4, 457--472 (1995; Zbl 0830.33001)
Zarzo, A.; Dehesa, J. S.; Torres, J. On a new set of polynomials representing the wave functions of the quantum relativistic harmonic oscillator. (English) Zbl 0899.33010 Ann. Numer. Math. 2, No. 1-4, 439-455 (1995). Reviewer: E.Lanckau (Chemnitz) MSC: 33C90 33C45 PDFBibTeX XMLCite \textit{A. Zarzo} et al., Ann. Numer. Math. 2, No. 1--4, 439--455 (1995; Zbl 0899.33010)
Aptekarev, A. I.; Dehesa, J. S.; Yáñez, R. J. Spatial entropy of central potentials and strong asymptotics of orthogonal polynomials. (English) Zbl 0816.94010 J. Math. Phys. 35, No. 9, 4423-4428 (1994). MSC: 94A17 33C45 81Q05 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., J. Math. Phys. 35, No. 9, 4423--4428 (1994; Zbl 0816.94010) Full Text: DOI
Yañez, R. J.; Dehesa, J. S.; Nikiforov, A. F. The three-term recurrence relation and the differentiation formulas for hypergeometric-type functions. (English) Zbl 0821.33005 J. Math. Anal. Appl. 188, No. 3, 855-866 (1994). Reviewer: M.Idemen (İstanbul) MSC: 33C45 34B30 PDFBibTeX XMLCite \textit{R. J. Yañez} et al., J. Math. Anal. Appl. 188, No. 3, 855--866 (1994; Zbl 0821.33005) Full Text: DOI
Dehesa, J. S.; Zarzo, A.; Yañez, R. J.; Germano, B.; Ricci, P. E. Orthogonal polynomials and differential equations in neutron-transport and radiative-transfer theories. (English) Zbl 0808.33005 J. Comput. Appl. Math. 50, No. 1-3, 197-206 (1994). Reviewer: L.Gatteschi (Torino) MSC: 33C45 PDFBibTeX XMLCite \textit{J. S. Dehesa} et al., J. Comput. Appl. Math. 50, No. 1--3, 197--206 (1994; Zbl 0808.33005) Full Text: DOI
Dehesa, J. S.; Yañez, R. J.; Perez-Victoria, M.; Sarsa, A. Nonlinear characterizations for functions of hypergeometric type and their derivatives of any order. (English) Zbl 0803.33009 J. Math. Anal. Appl. 184, No. 1, 35-43 (1994). Reviewer: L.Gatteschi (Torino) MSC: 33C45 PDFBibTeX XMLCite \textit{J. S. Dehesa} et al., J. Math. Anal. Appl. 184, No. 1, 35--43 (1994; Zbl 0803.33009) Full Text: DOI
Dehesa, J. S.; Yañez, R. J.; Zarzo, A.; Aguilar, J. A. New linear relationships of hypergeometric-type functions with applications to orthogonal polynomial. (English) Zbl 0802.33002 Rend. Mat. Appl., VII. Ser. 13, No. 4, 661-671 (1993). Reviewer: H.-J.Glaeske (Jena) MSC: 33C05 33C45 42C05 PDFBibTeX XMLCite \textit{J. S. Dehesa} et al., Rend. Mat. Appl., VII. Ser. 13, No. 4, 661--671 (1993; Zbl 0802.33002)
Dehesa, J. S. (ed.) Proceedings of the 7th Spanish symposium on orthogonal polynomials and applications (VII SPOA), September 23-27, 1991, Granada, Spain. Journal of Computational and Applied Mathematics 48, No. 1-2. Journal of Computational and Applied Mathematics 48, No. 1-2. (English) Zbl 0785.00026 Amsterdam: North-Holland, 252 p. (1993). MSC: 00B25 33-06 42-06 PDFBibTeX XMLCite \textit{J. S. Dehesa} (ed.), Proceedings of the 7th Spanish symposium on orthogonal polynomials and applications (VII SPOA), September 23-27, 1991, Granada, Spain. Journal of Computational and Applied Mathematics 48, No. 1-2. \newline Journal of Computational and Applied Mathematics 48, No. 1-2. Amsterdam: North-Holland (1993; Zbl 0785.00026)
Dehesa, J. S. (ed.) Proceedings of the 7th Spanish symposium on orthogonal polynomials and applications (VII SPOA), September 23-27, 1991, Granada, Spain. Journal of Computational and Applied Mathematics 49, No. 1-3. Journal of Computational and Applied Mathematics 49, No. 1-3. (English) Zbl 0785.00027 Amsterdam: North-Holland, 362 p. (1993). MSC: 00B25 33-06 42-06 PDFBibTeX XMLCite \textit{J. S. Dehesa} (ed.), Proceedings of the 7th Spanish symposium on orthogonal polynomials and applications (VII SPOA), September 23-27, 1991, Granada, Spain. Journal of Computational and Applied Mathematics 49, No. 1-3. \newline Journal of Computational and Applied Mathematics 49, No. 1-3. Amsterdam: North-Holland (1993; Zbl 0785.00027)
Dehesa, J. S.; Dominguez Adame, F.; Arriola, E. R.; Zarzo, A. Hydrogen atom and orthogonal polynomials. (English) Zbl 0868.33006 Brezinski, Claude (ed.) et al., Orthogonal polynomials and their applications. Proceedings of the third international symposium held in Erice, Italy, June 1-8, 1990. Basel: J. C. Baltzer, IMACS Ann. Comput. Appl. Math. 9, 223-229 (1991). MSC: 33C45 81V10 PDFBibTeX XMLCite \textit{J. S. Dehesa} et al., IMACS Ann. Comput. Appl. Math. 9, 223--229 (1991; Zbl 0868.33006)
Arriola, E. R.; Zarzo, A.; Dehesa, J. S. Spectral properties of the biconfluent Heun differential equation. (English) Zbl 0748.33004 J. Comput. Appl. Math. 37, No. 1-3, 161-169 (1991). Reviewer: M.Idemen (İstanbul) MSC: 33C45 34B30 PDFBibTeX XMLCite \textit{E. R. Arriola} et al., J. Comput. Appl. Math. 37, No. 1--3, 161--169 (1991; Zbl 0748.33004) Full Text: DOI
Zarzo, A.; Dehesa, J. S.; Ronveaux, A. Newton sum rules of zeros of semiclassical orthogonal polynomials. (English) Zbl 0713.65035 J. Comput. Appl. Math. 33, No. 1, 85-96 (1990). Reviewer: G.Merz MSC: 65H05 26C10 33C45 12Y05 PDFBibTeX XMLCite \textit{A. Zarzo} et al., J. Comput. Appl. Math. 33, No. 1, 85--96 (1990; Zbl 0713.65035) Full Text: DOI
Marcellan, F.; Dehesa, J. S.; Ronveaux, A. On orthogonal polynomials with perturbed recurrence relations. (English) Zbl 0713.42021 J. Comput. Appl. Math. 30, No. 2, 203-212 (1990). Reviewer: M.Idemen MSC: 42C05 33C45 39A10 PDFBibTeX XMLCite \textit{F. Marcellan} et al., J. Comput. Appl. Math. 30, No. 2, 203--212 (1990; Zbl 0713.42021) Full Text: DOI
Buendia, E.; Dehesa, J. S.; Galvez, F. J. The distribution of zeros of the polynomial eigenfunctions of ordinary differential operators of arbitrary order. (English) Zbl 0643.34023 Orthogonal polynomials and their applications, Proc. Int. Symp., Segovia/Spain 1986, Lect. Notes Math. 1329, 222-235 (1988). MSC: 34L99 33C45 47E05 PDFBibTeX XML
Alfaro, Manuel (ed.); Dehesa, Jesús S. (ed.); Marcellan, Francisco J. (ed.); Rubio de Francia, José L. (ed.); Vinuesa, Jaime (ed.) Orthogonal polynomials and their applications. Proceedings of an international symposium (2nd) held in Segovia, Spain, Sept. 22-27, 1986. (English) Zbl 0638.00018 Lecture Notes in Mathematics, 1329. Berlin etc.: Springer-Verlag. xv, 334 p. DM 50.00 (1988). MSC: 00B25 41-06 42-06 PDFBibTeX XMLCite \textit{M. Alfaro} (ed.) et al., Orthogonal polynomials and their applications. Proceedings of an international symposium (2nd) held in Segovia, Spain, Sept. 22-27, 1986. Berlin etc.: Springer-Verlag (1988; Zbl 0638.00018) Full Text: DOI
Galvez, F. J.; Dehesa, J. S. On two sets of orthogonal polynomial systems encountered in nonlinear physics. (English) Zbl 0633.33008 J. Phys. A 20, 5489-5495 (1987). Reviewer: M.Wyneken MSC: 33C45 34A34 PDFBibTeX XMLCite \textit{F. J. Galvez} and \textit{J. S. Dehesa}, J. Phys. A, Math. Gen. 20, 5489--5495 (1987; Zbl 0633.33008) Full Text: DOI
Buendia, E.; Dehesa, J. S.; Sanchez-Buendia, M. A. On the zeros of eigenfunctions of polynomial differential operators. (English) Zbl 0585.47037 J. Math. Phys. 26, 2729-2736 (1985). MSC: 47E05 34G10 47A20 33C45 PDFBibTeX XMLCite \textit{E. Buendia} et al., J. Math. Phys. 26, 2729--2736 (1985; Zbl 0585.47037) Full Text: DOI
Dehesa, J. S.; Buendia, E.; Sanchez-Buendia, M. A. On the polynomial solutions of ordinary differential equations of the fourth order. (English) Zbl 0568.34034 J. Math. Phys. 26, 1547-1552 (1985). MSC: 34C99 42C05 PDFBibTeX XMLCite \textit{J. S. Dehesa} et al., J. Math. Phys. 26, 1547--1552 (1985; Zbl 0568.34034) Full Text: DOI
Galvez, F.; Dehesa, J. S. Some open problems of generalised Bessel polynomials. (English) Zbl 0583.33007 J. Phys. A 17, 2759-2766 (1984). Reviewer: L.Neckermann MSC: 33C10 33C60 33C45 05A19 PDFBibTeX XMLCite \textit{F. Galvez} and \textit{J. S. Dehesa}, J. Phys. A, Math. Gen. 17, 2759--2766 (1984; Zbl 0583.33007) Full Text: DOI Link
Dehesa, Jesus S. Addendum: Orthogonal polynomials in neutron transport theory. (English) Zbl 0478.33009 J. Phys. A 15, 327-330 (1982). MSC: 33C45 PDFBibTeX XMLCite \textit{J. S. Dehesa}, J. Phys. A, Math. Gen. 15, 327--330 (1982; Zbl 0478.33009) Full Text: DOI
Dehesa, J. S. Orthogonal polynomials in transport theories. (English) Zbl 0455.33007 J. Phys. A 14, 297-302 (1981). MSC: 33C45 PDFBibTeX XMLCite \textit{J. S. Dehesa}, J. Phys. A, Math. Gen. 14, 297--302 (1981; Zbl 0455.33007) Full Text: DOI
Nevai, Paul G.; Dehesa, Jesus S. On asymptotic average properties of zeros of orthogonal polynomials. (English) Zbl 0434.33010 SIAM J. Math. Anal. 10, 1184-1192 (1979). MSC: 33C45 26C10 PDFBibTeX XMLCite \textit{P. G. Nevai} and \textit{J. S. Dehesa}, SIAM J. Math. Anal. 10, 1184--1192 (1979; Zbl 0434.33010) Full Text: DOI