solidot新版网站常见问题,请点击这里查看。
消息
本文已被查看248次
Applications of the Stieltjes and Laplace transform representations of the hypergeometric functions. (arXiv:1705.02493v2 [math.CA] UPDATED)
来源于:arXiv
In our previous work we found sufficient conditions to be imposed on the
parameters of the generalized hypergeometric function in order that it be
completely monotonic or of Stieltjes class. In this paper we collect a number
of consequences of these properties. In particular, we find new integral
representations of the generalized hypergeometric functions, evaluate a number
of integrals of their products, compute the jump and the average value of the
the generalized hypergeometric function over the branch cut, establish new
inequalities for this function in the half plane Re(z)<1. Furthermore, we
discuss integral representations of absolutely monotonic functions and present
a curious formula for a finite sum of products of gamma ratios as an integral
of Meijer's G function. 查看全文>>