Carlson determined that √π is the best constant in 1934 and Levin showed C = [1 / (ps)s.(qt)t] [ Γ (s/a) Γ (t/a) / (λ + μ)Γ(s+t)/ α]α. Here Γ is the gamma function. Thus Γ(1/2) = √π and hence it is named as Carlson Levin constant. The value is equal to 1.77245 38509 05516 02729 .
Carlson determined that √π is the best constant in 1934 and Levin showed C = [1 / (ps)s.(qt)t] [ Γ (s/a) Γ (t/a) / (λ + μ)Γ(s+t)/ α]α. Here Γ is the gamma function. Thus Γ(1/2) = √π and hence it is named as Carlson Levin constant. The value is equal to 1.77245 38509 05516 02729 .
