Three addition theorems for some q-Krawtchouk polynomials

DOI10.1007/BF01447435zbMath0497.43006WikidataQ56452794 ScholiaQ56452794MaRDI QIDQ1170720

Dennis W. Stanton

Publication date: 1981

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

parabolic subgroupshypergeometric seriesspecial functionspermutation representationsChevalley groupsaddition theoremsmaximal isotropic subspacesq-Krawtchouk polynomials

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Other designs, configurations (05B30) Harmonic analysis and spherical functions (43A90)

Related Items

Design theory from the viewpoint of algebraic combinatorics, Packings and Steiner systems in polar spaces, Recent progress on weight distributions of cyclic codes over finite fields, Kravchuk polynomials and group representations, Dual polar graphs, a nil-DAHA of rank one, and non-symmetric dual \(q\)-Krawtchouk polynomials, Mehler-Heine type formulas for the Krawtchouk polynomials, Zonal spherical functions on the complex reflection groups and (\(n+1,m+1\))-hypergeometric functions, Association schemes of quadratic forms, 𝑞-Krawtchouk polynomials as spherical functions on the Hecke algebra of type 𝐵

Cites Work

• Unnamed Item
• Exponential sums for skew matrices in a finite field
• Association schemes and t-designs in regular semilattices
• Alternating bilinear forms over GF(q)
• Bilinear forms over a finite field, with applications to coding theory
• Representation by quadratic forms in a finite field
• Representations by skew forms in a finite field
• Representations by hermitian forms in a finite field
• Exponential Sums for Symmetric Matrices in a Finite Field
• Some q-Krawtchouk Polynomials on Chevalley Groups
• Properties and Applications of the Recurrence $F( {i + 1,k + 1,n + 1} ) = q^{k + 1} F( {i,k + 1,n} ) - q^k F( {i,k,n} )$