The Great Recession: Major Religious and Far Eastern Perspectives on the Global and Economic and Financial Crisis ed., Michael Szenberg and Lall Ramrattan, with a Foreword by Paul W. Grimes (Amazon Press, 2013)
I think the question should be broken down to which religion. Economics of Islam, economics of Christianity, or else. Because each religion has its own principles of life in which economics thought may vary.
There has been an introductory survey on the economics of religion in the Journal of the Economic Literature, 1998, by Iannaccone. There was also a session on the topic at an ASSA meeting in 2005, check www.aeaweb.org
Regarding economics of religion, I found in the scientific literature that another perspective is based on the rational-choice theory, especially promoted by Rodney Stark.
Culture (i guess this includes influence from religion) has a huge effect on behavioral economics. This has been shown many times i.e. using ultimatum game.
There has been a lot done lately on economics of religion, but it really depends upon which aspect you're looking at. Broader macroeconomic effects have been examined by the gold standard, McCleary and Barro, while Lelkes (2006) and Florea and Caudill (2014) look at happiness in transition as a function of religion. Two great recent books look at the development of the Catholic Church via economic concepts: Tollison and Ekelund's "The Marketplace of Christianity" (MIT 2006), a follow-on from "Sacred Trust" by Ekelund et al. (2006 - OUP). There also is Ekelund and Tollison (2011), "Economic Origins of Roman Christianity." So there are lots of good papers and books out there, you really need to narrow down what you're looking for.
The economics of religion applies socio- economic theory and methods to explain the religious behaviour patterns of individuals, groups or cultures and the social consequences of such behavior