On defining the incomplete gamma function

• Main Authors: Fisher, Brian, Jolevsaka-Tuneska, Biljana, KiliÇman, Adem
• Format: Article
• Published: Taylor and Francis Group 2003
• Online Access: http://psasir.upm.edu.my/id/eprint/112985/; https://www.tandfonline.com/doi/abs/10.1080/1065246031000081667

The incomplete Gamma function γ(α, x+) is defined as locally summable function on the real line for α > 0 by γ(α,x+)= ∫0x+ uα-1e-udu, the integral diverging for α ≤ 0. The incomplete Gamma function can be defined as a distribution for α< 0 and α ≠ -1, - 2,... by using the recurrence formula γ(...