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Bessel Function

Result

0.710146...

Number line

Number name

zero point seven one zero one four six one two eight five two zero four six two

Alternative representations

J_0(1.12) = I_0(1.12 i)

J_0(1.12) = I_0(-1.12 i)

J_0(1.12) = 0F1(1, -1.12^2/4)

Series representations

J_0(1.12) = sum_(k=0)^∞ ((-1)^k e^(-1.15964 k))/(k! Γ(1 + k))

J_0(1.12) = i^abs(0) sum_(k=0)^∞ ((-1)^k 0.56^(2 k + abs(0)))/(k! Γ(1 + k + abs(0)))

J_0(1.12) = ( sum_(k=0)^∞ ((-1/4)^k 1.12^(2 k))/(k! (1)_k))/Γ(1)

Integral representations

J_0(1.12) = 2/π integral_0^∞ sin(1.12 cosh(t)) dt

J_0(1.12) = 1/π integral_0^π cos(-1.12 sin(t)) dt

J_0(1.12) = 1/(2 π) integral_(-π)^π e^(1.12 i cos(t)) dt