6 search results - page 1 / 2 » Monotonicity of zeros of Jacobi polynomials |
JAT
2007
13 years 10 months ago
2007
Denote by xn,k(α, β), k = 1, . . . , n, the zeros of the Jacobi polynomial P (α,β) n (x). It is well known that xn,k(α, β) are increasing functions of β and decreasing func...
NA
2007
13 years 10 months ago
2007
Inequalities are conjectured for the Jacobi polynomials P (α,β) n and their largest zeros. Special attention is given to the cases β = α − 1 and β = α. Key words. Jacobi po...
NA
2007
13 years 10 months ago
2007
In 2000, Reimer proved that a positive weight quadrature rule on the unit sphere Sd ⊂ Rd+1 has the property of quadrature regularity. Hesse and Sloan used a related property, ca...
NA
2008
13 years 10 months ago
2008
A good portion of Gatteschi's research publications--about 65%--is devoted to asymptotics of special functions and their zeros. Most prominently among the special functions st...
ISCAS
1993
IEEE
14 years 3 months ago
1993
IEEE
The existence of nonsymmetric generalized half-band lowpass and highpass FIR filters with maximally flat magnitude and group delay characteristics is proved. Like their linear-p...