Schützenberger groups and Chebyshev polynomials.
Page 1 Next
Displaying 1 – 20 of 50
Selbstadjungierte Differentialoperatoren erster Ordnung in A2 (Co).
Werner Stork (1975)
Mathematische Annalen
Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model.
Bleher, Pavel, Its, Alexander (1999)
Annals of Mathematics. Second Series
Semi-orthogonality of a class of the gauss' hypergeometric polynomials
S.D. Bajpai, M.S. Arora (1994)
Annales mathématiques Blaise Pascal
SO(2,1)-Invariant Double Integral Transforms and Formulas for the Whittaker Functions
Shilin, Ilya (2012)
Mathematica Balkanica New Series
MSC 2010: 33C15, 33C05, 33C45, 65R10, 20C40The paper contains some new formulas involving the Whittaker functions and arising as the values of some double integrals, which are invariant with respect to the representation of the group SO(2; 1).
Sobolev orthogonal polynomials: Interpolation and approximation.
García-Caballero, Esther M., Pérez, Teresa E., Piñar, Miguel A. (1999)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Software for the algorithmic work with orthogonal polynomials and special functions.
Koepf, Wolfram (1999)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Solution of option pricing equations using orthogonal polynomial expansion
Falko Baustian, Kateřina Filipová, Jan Pospíšil (2021)
Applications of Mathematics
We study both analytic and numerical solutions of option pricing equations using systems of orthogonal polynomials. Using a Galerkin-based method, we solve the parabolic partial differential equation for the Black-Scholes model using Hermite polynomials and for the Heston model using Hermite and Laguerre polynomials. We compare the obtained solutions to existing semi-closed pricing formulas. Special attention is paid to the solution of the Heston model at the boundary with vanishing volatility.
Some applications and numerical methods for orthogonal polynomials
Walter Gautschi (1990)
Banach Center Publications
Some bounding inequalities for the Jacobi and related functions.
Srivastava, H.M. (2007)
Banach Journal of Mathematical Analysis [electronic only]
Some computational formulas for -Nörlund numbers.
Liu, Guodong (2009)
Abstract and Applied Analysis
Some extensions of Bateman's product formulas for the Jacobi polynomials.
Chen, Ming-Po, Srivastava, H.M. (1995)
Journal of Applied Mathematics and Stochastic Analysis
Some extremal properties of orthogonal polynomials.
B.D. Rakovich, P.M. Vasic (1983)
Aequationes mathematicae
Some formulas of L. Carlitz on Hermite polynomials.
Chatterjea, S.K., Eaqub Ali, S.M. (1991)
International Journal of Mathematics and Mathematical Sciences
Some generalisations of Chebyshev polynomials and their induced group structure over a finite field
Rex Matthews (1982)
Acta Arithmetica
Some generating functions for polynomials
Hari Ballabh Mittal (1974)
Czechoslovak Mathematical Journal
Some generating functions involving the Stirling numbers of the second kind.
Lin, Shy-Der, Tu, Shih-Tong, Srivastava, H.M. (2001)
Rendiconti del Seminario Matematico
Some generating functions of Laguerre polynomials.
Thakurta, Bidyut Kumar Guha (1987)
International Journal of Mathematics and Mathematical Sciences
Some hypergeometric congruences
Carlitz, L. (1953)
Portugaliae mathematica
Some identities for Chebyshev polynomials.
Grabner, Peter J., Prodinger, Helmut (2002)
Portugaliae Mathematica. Nova Série
Currently displaying 1 – 20 of 50
Page 1 Next