I0lambda
I0lambda refers to the value of the modified Bessel function of the first kind of order zero, evaluated at a real argument λ. In many mathematical and applied contexts this function is written as I0(λ) or I_0(λ). The notation I0lambda is sometimes used as a shorthand or variable name in formulas and code.
I0(λ) is a classical special function with several equivalent representations. It has a power series expansion
I0(λ) is the solution of the modified Bessel differential equation x^2 y'' + x y' − x^2 y =
I0(λ) appears in various applications, including the Rice distribution in statistics, the 2D heat kernel and
See also I1, Bessel functions of the first kind, and related modified Bessel functions.