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Bivariate Densities with Diagonal Expansions in Gegenbauer Polynomials

✍ Scribed by H. Derin; G.L. Wise; J.B. Thomas

Book ID
103085294
Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
379 KB
Volume
304
Category
Article
ISSN
0016-0032

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✦ Synopsis

Closed-form expressions and diagonal series expansions in Gegenbauer polynomials are derived for two bivariate density functions.

πŸ“œ SIMILAR VOLUMES

A Cohen type inequality for Fourier expa
A Cohen type inequality for Fourier expansions of orthogonal polynomials with a non-discrete Gegenbauer-Sobolev inner product
✍ Bujar Xh. Fejzullahu πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 156 KB

## Abstract Let __d__ΞΌ(__x__) = (1 βˆ’ __x__^2^)^Ξ±βˆ’1/2^__dx__,Ξ±> βˆ’ 1/2, be the Gegenbauer measure on the interval [ βˆ’ 1, 1] and introduce the non‐discrete Sobolev inner product where Ξ»>0. In this paper we will prove a Cohen type inequality for Fourier expansions in terms of the polynomials orthogona