6 search results - page 1 / 2 » Monotonicity of zeros of Jacobi polynomials |
JAT
2007
13 years 5 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 5 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 5 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 5 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
13 years 10 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...