Use the relation (x + 1) = x(x) to deduce from Eqs. (13) and (14) that if p is not a negative integer, then This

Use the relation Γ(x + 1) = xΓ(x) to deduce from Eqs. (13) and (14) that if p is not a negative integer, then

This form is more convenient for the computation of J_p(x) because only the single value Γ (p + 1) of the gamma function is required.

Jp(x) = (x/2)P T(p+1) 1 + m=1 (-1)m(x/2)2m m! (p+1)(p+2)... (p + m)