new characteristics of jacobi theta functions as a generator of some physical special functions

In this paper, we study on new properties of jacobi theta functions as one of the most important complexmathematical physics functions in quantum conformal field theory. in this regard, firstly, we show that howjacobi theta functions generate some other physical special functions such as legendre polynomials andlaguerre functions. secondly, we present a link between the jacobi theta functions and quintuple productidentity and try to write them in terms of well-known q-series. finally, by using the derivative of multiplicationratios of theta functions, for the first time, some new identities of these functions are explored and discussed.