Inclusion properties of hypergeometric functions in some class of analytic functions (Q2224338)

Summary: The aim of the present paper is to determine sufficient conditions on real parameters, so that the sequences formed by the coefficients of hypergeometric functions are convex decreasing. Interesting consequences of the results are also provided, which establish the mapping of the geometrical properties of hypergeometric functions onto the class of analytic functions defined by Ali et al. (2012).