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
Martínez-González, P.; Zarzo, A. Higher order hypergeometric Lauricella function and zero asymptotics of orthogonal polynomials. (English) Zbl 1185.33018 J. Comput. Appl. Math. 233, No. 6, 1577-1583 (2010). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 33C65 33C45 33C20 PDFBibTeX XMLCite \textit{P. Martínez-González} and \textit{A. Zarzo}, J. Comput. Appl. Math. 233, No. 6, 1577--1583 (2010; Zbl 1185.33018) Full Text: DOI
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
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E. Orthogonal polynomials and the Bézout identity. (English) Zbl 1126.33005 Elaydi, S. (ed.) et al., Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-643-0/hbk). 566-578 (2007). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C45 39A13 PDFBibTeX XMLCite \textit{A. Ronveaux} et al., in: Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25--30, 2005. Hackensack, NJ: World Scientific. 566--578 (2007; Zbl 1126.33005)
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. Extensions of some results of P. Humbert on Bezout’s identity for classical orthogonal polynomials. (English) Zbl 1094.33005 J. Comput. Appl. Math. 196, No. 1, 212-228 (2006). MSC: 33C45 33C20 05A10 PDFBibTeX XMLCite \textit{I. Area} et al., J. Comput. Appl. Math. 196, No. 1, 212--228 (2006; Zbl 1094.33005) Full Text: DOI
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. Classical symmetric orthogonal polynomials of a discrete variable. (English) Zbl 1055.33004 Integral Transforms Spec. Funct. 15, No. 1, 1-12 (2004). Reviewer: Roelof Koekoek (Delft) MSC: 33C45 33C20 PDFBibTeX XMLCite \textit{I. Area} et al., Integral Transforms Spec. Funct. 15, No. 1, 1--12 (2004; Zbl 1055.33004) Full Text: DOI
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. Classical discrete orthogonal polynomials, Lah numbers, and involutory matrices. (English) Zbl 1050.33005 Appl. Math. Lett. 16, No. 3, 383-387 (2003). Reviewer: Roelof Koekoek (Delft) MSC: 33C45 PDFBibTeX XMLCite \textit{I. Area} et al., Appl. Math. Lett. 16, No. 3, 383--387 (2003; Zbl 1050.33005) Full Text: DOI
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. Hypergeometric-type differential equations: second kind solutions and related integrals. (English) Zbl 1036.33005 J. Comput. Appl. Math. 157, No. 1, 93-106 (2003). Reviewer: Ravi N. Kalia (St. Cloud) MSC: 33C45 33C20 34A25 39A05 PDFBibTeX XMLCite \textit{I. Area} et al., J. Comput. Appl. Math. 157, No. 1, 93--106 (2003; Zbl 1036.33005) Full Text: DOI
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. Solving connection and linearization problems within the Askey scheme and its \(q\)-analogue via inversion formulas. (English) Zbl 0988.33008 J. Comput. Appl. Math. 133, No. 1-2, 151-162 (2001). Reviewer: David M.Bressoud (Saint Paul) MSC: 33D45 33C45 PDFBibTeX XMLCite \textit{I. Area} et al., J. Comput. Appl. Math. 133, No. 1--2, 151--162 (2001; Zbl 0988.33008) Full Text: DOI
Martínez, P.; Yáñez, R. J.; Zarzo, A. A study of relativistic Hermite polynomials from the differential equation that they satisfy. (English) Zbl 1022.33005 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, 127-146 (2000). Reviewer: J.P.Singhal (Baroda) MSC: 33C45 PDFBibTeX XMLCite \textit{P. Martínez} et al., Proc. Melfi Sch. Adv. Top. Math. Phys. 1, 127--146 (2000; Zbl 1022.33005)
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E. Classical orthogonal polynomials: Dependence of parameters. (English) Zbl 0962.33006 J. Comput. Appl. Math. 121, No. 1-2, 95-112 (2000). Reviewer: Roelof Koekoek (Delft) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{A. Ronveaux} et al., J. Comput. Appl. Math. 121, No. 1--2, 95--112 (2000; Zbl 0962.33006) Full Text: DOI
Lewanowicz, Stanislaw; Godoy, Eduardo; Area, Iván; Ronveaux, André; Zarzo, Alejandro Recurrence relations for the coefficients of the Fourier series expansions with respect to q-classical orthogonal polynomials. (English) Zbl 1047.33009 Numer. Algorithms 23, No. 1, 31-50 (2000). MSC: 33D45 33C45 33F10 39A13 PDFBibTeX XMLCite \textit{S. Lewanowicz} et al., Numer. Algorithms 23, No. 1, 31--50 (2000; Zbl 1047.33009) Full Text: DOI
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E. Transverse limits in the Askey tableau. (English) Zbl 0936.33004 J. Comput. Appl. Math. 99, No. 1-2, 327-335 (1998). Reviewer: Wolfram Koepf (Leipzig) MSC: 33C45 PDFBibTeX XMLCite \textit{A. Ronveaux} et al., J. Comput. Appl. Math. 99, No. 1--2, 327--335 (1998; Zbl 0936.33004) Full Text: DOI
Godoy, E.; Ronveaux, A.; Zarzo, A.; Area, I. On the limit relations between classical continuous and discrete orthogonal polynomials. (English) Zbl 0934.33013 J. Comput. Appl. Math. 91, No. 1, 97-105 (1998). Reviewer: R.Koekoek (Delft) MSC: 33C45 PDFBibTeX XMLCite \textit{E. Godoy} et al., J. Comput. Appl. Math. 91, No. 1, 97--105 (1998; Zbl 0934.33013) Full Text: DOI
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E. Bernstein bases and Hahn-Eberlein orthogonal polynomials. (English) Zbl 0942.33006 Integral Transforms Spec. Funct. 7, No. 1-2, 87-96 (1998). Reviewer: Wolfram Koepf (Leipzig) MSC: 33C45 68U07 PDFBibTeX XMLCite \textit{A. Ronveaux} et al., Integral Transforms Spec. Funct. 7, No. 1--2, 87--96 (1998; Zbl 0942.33006) Full Text: DOI
Ronveaux, A.; Area, I.; Godoy, E.; Zarzo, A. Recursive approach to connection and linearization coefficients between polynomials. (English) Zbl 0922.33004 Srinivasa Rao, K. (ed.) et al., Special functions and differential equations. Proceedings of a workshop, WSSF ’97, Madras, India, January 13–24, 1997. New Delhi: Allied Publishers Private Limited. 83-101 (1998). Reviewer: P.A.McCoy (Annapolis) MSC: 33C45 PDFBibTeX XMLCite \textit{A. Ronveaux} et al., in: Special functions and differential equations. Proceedings of a workshop, WSSF '97, Madras, India, January 13--24, 1997. New Delhi: Allied Publishers Private Limited. 83--101 (1998; Zbl 0922.33004)
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. Corrigendum: Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case. (English) Zbl 0934.33014 J. Comput. Appl. Math. 89, No. 2, 309-325 (1998). Reviewer: R.Koekoek (Delft) MSC: 33C45 PDFBibTeX XMLCite \textit{I. Area} et al., J. Comput. Appl. Math. 89, No. 2, 309--325 (1998; Zbl 0934.33014) Full Text: DOI
Ronveaux, A.; Godoy, E.; Zarzo, A.; Area, I. Fourth-order difference equation for the first associated of classical discrete orthogonal polynomials. (English) Zbl 0906.33003 J. Comput. Appl. Math. 90, No. 1, 45-50 (1998). Reviewer: J.Matkowski (Bielsko-Biała) MSC: 33C45 39A10 PDFBibTeX XMLCite \textit{A. Ronveaux} et al., J. Comput. Appl. Math. 90, No. 1, 45--50 (1998; Zbl 0906.33003) Full Text: DOI
Zarzo, A.; Area, I.; Godoy, E.; Ronveaux, A. Results for some inversion problems for classical continuous and discrete orthogonal polynomials. (English) Zbl 0992.33003 J. Phys. A, Math. Gen. 30, No. 3, L35-L40 (1997). MSC: 33C45 PDFBibTeX XMLCite \textit{A. Zarzo} et al., J. Phys. A, Math. Gen. 30, No. 3, L35--L40 (1997; Zbl 0992.33003) Full Text: DOI
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case. (English) Zbl 0892.65078 J. Comput. Appl. Math. 87, No. 2, 321-337 (1997). Reviewer: G.Walz (Mannheim) MSC: 65Q05 65D20 33C45 PDFBibTeX XMLCite \textit{I. Area} et al., J. Comput. Appl. Math. 87, No. 2, 321--337 (1997; Zbl 0892.65078) Full Text: DOI
Godoy, E.; Ronveaux, A.; Zarzo, A.; Area, I. Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Continuous case. (English) Zbl 0909.65008 J. Comput. Appl. Math. 84, No. 2, 257-275 (1997). Reviewer: V.Parkhomenko (Kyïv) MSC: 65D20 65Q05 42C05 33C45 PDFBibTeX XMLCite \textit{E. Godoy} et al., J. Comput. Appl. Math. 84, No. 2, 257--275 (1997; Zbl 0909.65008) Full Text: DOI
Godoy, E.; Marcellán, F.; Salto, L.; Zarzo, A. Perturbations of discrete semiclassical functionals by Dirac masses. (English) Zbl 0877.33002 Integral Transforms Spec. Funct. 5, No. 1-2, 19-46 (1997). Reviewer: M.G.de Bruin (Delft) MSC: 33C45 33E30 39A10 PDFBibTeX XMLCite \textit{E. Godoy} et al., Integral Transforms Spec. Funct. 5, No. 1--2, 19--46 (1997; Zbl 0877.33002) Full Text: DOI
Ronveaux, A.; Belmehdi, S.; Godoy, E.; Zarzo, A. Recurrence relation approach for connection coefficients. Applications to classical discrete orthogonal polynomials. (English) Zbl 0862.33006 Levi, Decio (ed.) et al., Symmetries and integrability of difference equations. Papers from the workshop, May 22–29, 1994, Estérel, Canada. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 9, 319-335 (1996). Reviewer: H.Stahl (Berlin) MSC: 33C45 33E30 39A10 PDFBibTeX XMLCite \textit{A. Ronveaux} et al., in: Symmetries and integrability of difference equations. Papers from the workshop, May 22--29, 1994, Estérel, Canada. Providence, RI: American Mathematical Society. 319--335 (1996; Zbl 0862.33006)
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
Martínez, A.; Zarzo, A. Varying orthogonality for a class of hypergeometric type polynomials. (English) Zbl 0844.33007 Florenzano, Monique (ed.) et al., Approximation and optimization in the Caribbean II. Proceedings of the 2nd international conference held in Havana, Cuba, September 26 - October 1, 1993. Frankfurt a. M.: Peter Lang. Approximation Optimization. 8, 527-541 (1995). Reviewer: H.Stahl (Berlin) MSC: 33C45 34E20 PDFBibTeX XMLCite \textit{A. Martínez} and \textit{A. Zarzo}, in: Approximation and optimization in the Caribbean II. Proceedings of the 2nd international conference held in Havana, Cuba, September 26 - October 1, 1993. Frankfurt a. M.: Peter Lang. 527--541 (1995; Zbl 0844.33007)
Ronveaux, A.; Zarzo, A.; Godoy, E. Fourth-order differential equations satisfied by the generalized co- recursive of all classical orthogonal polynomials. A study of their distribution of zeros. (English) Zbl 0835.42013 J. Comput. Appl. Math. 59, No. 3, 295-328 (1995). Reviewer: H.-J.Glaeske (Jena) MSC: 42C05 33C45 26C10 PDFBibTeX XMLCite \textit{A. Ronveaux} et al., J. Comput. Appl. Math. 59, No. 3, 295--328 (1995; Zbl 0835.42013) Full Text: DOI
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)
Martínez, A.; Zarzo, A.; Yañez, R. Two approaches to the asymptotics of the zeros of a class of hypergeometric-type polynomials. (English. Russian original) Zbl 0852.33004 Russ. Acad. Sci., Sb., Math. 83, No. 2, 483-494 (1995); translation from Mat. Sb. 185, No. 12, 65-78 (1994). Reviewer: E.Lanckau (Chemnitz) MSC: 33C45 PDFBibTeX XMLCite \textit{A. Martínez} et al., Russ. Acad. Sci., Sb., Math. 83, No. 2, 65--78 (1994; Zbl 0852.33004); translation from Mat. Sb. 185, No. 12, 65--78 (1994)
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.; 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)
Zarzo, A.; Ronveaux, A.; Godoy, E. Fourth-order differential equation satisfied by the associated of any order of all classical orthogonal polynomials. A study of their distribution of zeros. (English) Zbl 0795.33001 J. Comput. Appl. Math. 49, No. 1-3, 349-359 (1993). Reviewer: H.Stahl (Berlin) MSC: 33C45 33-04 PDFBibTeX XMLCite \textit{A. Zarzo} et al., J. Comput. Appl. Math. 49, No. 1--3, 349--359 (1993; Zbl 0795.33001) Full Text: DOI
Zarzo, A.; Martínez, A. The quantum relativistic harmonic oscillator: Spectrum of zeros of its wave functions. (English) Zbl 0787.33007 J. Math. Phys. 34, No. 7, 2926-2935 (1993). Reviewer: Y.Kobayashi (Tottori) MSC: 33C45 81Q20 PDFBibTeX XMLCite \textit{A. Zarzo} and \textit{A. Martínez}, J. Math. Phys. 34, No. 7, 2926--2935 (1993; Zbl 0787.33007) Full Text: DOI
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