On integral operator defined by convolution involving hybergeometric functions (Q938500)

Summary: For \(\lambda>-1\) and \(\mu\geq 0\), we consider a linear operator \(I_\lambda^\mu\) on the class \({\mathcal A}\) of analytic functions in the unit disk defined by the convolution \((f_\mu)^{(-1)}* f(z)\), where \(f_\mu= (1-\mu) z_2F_1(a,b,c;z)+ \mu z(z_2F_1(a,b,c;z))'\), and introduce a certain new subclass of \({\mathcal A}\) using this operator. Several interesting properties of these classes are obtained.