• DML-CZ Home

33C45  Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (34 articles)

• Baustian, Falko; Filipová, Kateřina; Pospíšil, Jan: Solution of option pricing equations using orthogonal polynomial expansion. (English). Applications of Mathematics, vol. 66 (2021), issue 4, pp. 553-582
• Badenjki, Abdulatif; Warnecke, Gerald: Theoretical and numerical studies of the $P_NP_M$ DG schemes in one space dimension. (English). Applications of Mathematics, vol. 64 (2019), issue 6, pp. 599-635
• Marčoková, Mariana; Guldan, Vladimír: Classical and generalized Jacobi polynomials orthogonal with different weight functions and differential equations satisfied by these polynomials. (English). In: Mikula, Karol (ed.): Proceedings of Equadiff 14. Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017. Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, Bratislava, 2017. pp. 287-294
• Bouzeffour, Fethi; Ben Mansour, Hanen; Zaghouani, Ali: Deformed Heisenberg algebra with reflection and $d$-orthogonal polynomials. (English). Czechoslovak Mathematical Journal, vol. 67 (2017), issue 1, pp. 57-71
• Mrovec, Martin: Low-rank tensor representation of Slater-type and Hydrogen-like orbitals. (English). Applications of Mathematics, vol. 62 (2017), issue 6, pp. 679-698
• Shehata, Ayman; Upadhyaya, Lalit Mohan: Some relations satisfied by Hermite-Hermite matrix polynomials. (English). Mathematica Bohemica, vol. 142 (2017), issue 2, pp. 145-162
• Shehata, Ayman: Some relations on Humbert matrix polynomials. (English). Mathematica Bohemica, vol. 141 (2016), issue 4, pp. 407-429
• Mourou, Mohamed Ali: Hardy and Cowling-Price theorems for a Cherednik type operator on the real line. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 56 (2015), issue 1, pp. 7-22
• Křižka, Libor; Somberg, Petr: On the composition structure of the twisted Verma modules for $\mathfrak{sl}(3,\mathbb{C})$. (English). Archivum Mathematicum, vol. 51 (2015), issue 5, pp. 315-329
• Lin, Shy-Der; Liu, Shuoh-Jung; Lu, Han-Chun; Srivastava, Hari Mohan: Linearization relations for the generalized Bedient polynomials of the first and second kinds via their integral representations. (English). Czechoslovak Mathematical Journal, vol. 63 (2013), issue 4, pp. 969-987
• Petković, Marko D.; Barry, Paul; Rajković, Predrag: Closed-form expression for Hankel determinants of the Narayana polynomials. (English). Czechoslovak Mathematical Journal, vol. 62 (2012), issue 1, pp. 39-57
• Metwally, M. S.; Mohamed, M. T.; Shehata, A.: On Hermite-Hermite matrix polynomials. (English). Mathematica Bohemica, vol. 133 (2008), issue 4, pp. 421-434
• Hinterleitner, Franz: On a new set of orthogonal polynomials. (English). Archivum Mathematicum, vol. 39 (2003), issue 2, pp. 117-121
• Gustavsson, Jan: Some sums of Legendre and Jacobi polynomials. (English). Mathematica Bohemica, vol. 126 (2001), issue 1, pp. 141-149
• Sookoo, Norris: Generalized Krawtchouk polynomials: New properties. (English). Archivum Mathematicum, vol. 36 (2000), issue 1, pp. 9-16
• Khan, Mumtaz Ahmad; Shukla, Ajay Kumar: On some generalized Sister Celine’s polynomials. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 3, pp. 527-545
• Púchovský, František: Laguerre polynomials with four parameters. (English). Mathematica Slovaca, vol. 48 (1998), issue 5, pp. 513-525
• Khan, M. A.: A study of $q$-Laguerre polynomials through the $T_{k,q,x}$-operator. (English). Czechoslovak Mathematical Journal, vol. 47 (1997), issue 4, pp. 619-626
• Chongdar, A. K.; Majumdar, N. K.: Some novel generating functions of extended Jacobi polynomials by group theoretic method. (English). Czechoslovak Mathematical Journal, vol. 46 (1996), issue 1, pp. 29-33
• Bajpai, Shri Dhar; Al-Hawaj, A. Y.: A new semi-orthogonal relation for the Laguerre polynomials. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 1 (1993), issue 1, pp. 1-4
• Stanček, Václav: On the polynomials orthogonal in the interval $(-\infty,+\infty)$ with the weight function $\exp (-x^8)$. (English). Časopis pro pěstování matematiky, vol. 115 (1990), issue 4, pp. 424-432
• Púchovský, František: On a class of generalized Laguerre's polynomials. (English). Časopis pro pěstování matematiky, vol. 113 (1988), issue 4, pp. 351-358
• Lukš, Antonín: The quantized Jacobi polynomials. (English). Aplikace matematiky, vol. 32 (1987), issue 6, pp. 417-426
• Jaroch, Otakar: Integral representation of orthogonal exponential polynomials. (English). Časopis pro pěstování matematiky, vol. 105 (1980), issue 3, pp. 261-265
• Jaroch, Otakar: Orthoexponential polynomials and the Legendre polynomials. (English). Aplikace matematiky, vol. 23 (1978), issue 6, pp. 467-471
• Púchovský, František: On a class of generalized Hermite polynomials. (English). Mathematica Slovaca, vol. 26 (1976), issue 4, pp. 257-269
• Kobza, Jiří: Die Transformationsfunktion für eine Differentialgleichung zweiter Ordnung. (German) [The transform functions for a differential equation of the second order]. Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 14 (1974), issue 1, pp. 5-16
• Púchovský, František: On the zeros of generalized Jacobi's orthogonal polynomials. (English). Časopis pro pěstování matematiky, vol. 98 (1973), issue 1, pp. 1-21
• Púchovský, František: On a class of generalized Jacobi's orthonormal polynomials. (English). Časopis pro pěstování matematiky, vol. 97 (1972), issue 4, pp. 361-378
• Brabec, Jiří: Poznámka k Favardově větě. (Czech) [Note to Favard's theorem]. Časopis pro pěstování matematiky, vol. 96 (1971), issue 1, pp. 1-7
• Prouza, Ludvík: Über die Koeffizienten der Fejérschen Polynome. (German) [On coefficients of Fejér polynomials]. Kybernetika, vol. 7 (1971), issue 4, pp. (299)-313
• Truksa, L.: Hypergeometric orthogonal systems of polynomials. I. (English). Aktuárské vědy, vol. 2 (1931), issue 2, pp. 65-84
• Truksa, L.: Hypergeometric orthogonal systems of polynomials. II. (English). Aktuárské vědy, vol. 2 (1931), issue 3, pp. 113-144
• Truksa, L.: Hypergeometric orthogonal systems of polynomials. III. (English). Aktuárské vědy, vol. 2 (1931), issue 4, pp. 177-203