Question

The value of Tm(0) for every odd value of m is _____________

(a) 0

(b) 1

(c) -1

(d) m

I got this question by my college professor while I was bunking the class.

My question is from Adaptive Array in chapter Phased, Adaptive and Binomial Arrays of Antennas

Answer 1

Right answer is (a) 0

To explain I would say: The Chebyshev polynomial is given by

T0(x) = 1 m=0

T1(x) = x m=1

T2(x) = 2x^2-1 m=2

T3(x) = 4x^3-3x m=3

For m=odd; Tm(0) = 0

For m=even; Tm(0) = (-1)^m/2