ABSTRACT
This chapter begins with a presentation of properties of the gamma function and the binomial coefficients. This forms a foundation for obtaining results about the families Fa. The chapter presents a proof of a product theorem and shows that the families Fa are strictly increasing in a. The theorem is proved with a number of lemmas, some of which involve the gamma function and the binomial coefficients. The chapter concludes with a discussion on Hadamard products and their relationship to the family F1.
