TRIPLE PRODUCT p-ADIC L-FUNCTIONS ASSOCIATED TO FINITE SLOPE p-ADIC FAMILIES OF MODULAR FORMS

Let p be a positive prime integer. We construct p-adic families of de Rham cohomology classes and therefore p-adic families of nearly overconvergent elliptic modular forms. As an application we define triple product p-adic L-functions attached to three finite slope families of modular forms satisfying certain assumptions.