We define the incomplete gamma function ratio for positive N by \begin{align*}\tag{1}P(N, b, X) &= \int^X_0 t^{N-1}e^{-bt} dt/ \int^\infty_0 t^{N-1}e^{-bt} dt ...
Proceedings of the American Mathematical Society, Vol. 135, No. 11 (Nov., 2007), pp. 3641-3648 (8 pages) Let α > 0 and 0 < c ≠ 1 be real numbers. The inequality ...
Special functions occupy a central role in mathematical analysis, bridging pure theory and practical application across diverse scientific fields. Their intrinsic properties—such as recurrence ...
Results that may be inaccessible to you are currently showing.
Hide inaccessible results
Feedback