Bessel's Equation

Which Bessel function has a singularity at the origin?

• J0(x)

• J1(x)

• Y0(x)

• Y1(x)

The Bessel equation arises in the study of which mathematical field?

• Trigonometry

• Calculus

• Number theory

• Differential equations

Which Bessel function is used in the solution to the Schrödinger equation for a particle in a circular potential well?

• J0(x)

• J1(x)

• Y0(x)

• Y1(x)

Which of the following is/are a solution to the modified Bessel equation of the second kind?

• I0(x)

• I1(x)

• K0(x)

• K1(x)

Which of the following is not a property of Bessel functions?

• They are well-defined for all values of x

• They are non-negative

• They have an infinite number of roots

• They are non-periodic

Which property of Bessel functions makes them important in mathematical physics?

• They are orthogonal

• They are transcendental

• They are periodic

• They are linearly independent

Which Bessel function is used to describe the radial component of electromagnetic waves in cylindrical coordinates?

• J0(x)

• J1(x)

• K0(x)

• K1(x)

The general solution to Bessel's equation can be expressed as a linear combination of which two functions?

• Sine and cosine

• Exponential and logarithmic functions

• Cylindrical and spherical functions

• Bessel and Neumann functions

Which parameter determines the type of solution to Bessel's equation?

• x

• n

• k

• m

The zeros of the Bessel function J0(x) correspond to the solutions of which transcendental equation?

• Sine

• Cosine

• Bessel

• Tangent