1Mathematics Section Women's College, Aligarh Muslim University, India
2Department of Mathematics, Aligarh Muslim University, India
*(*Corresponding author) Email: nraza.maths@gmail.com
In this paper, we introduce the Generalized Bessel-Hypergeometric function by making convolution of the Generalized Bessel function and the Hypergeometric function. Also we obtain the necessary and sufficient conditions for the Generalized Bessel-Hypergeometric function to be β - uniformly starlike and β - uniformly convex functions of order α. Further, we introduce a function in terms of integral involving the Generalized Bessel-Hypergeomtric function and obtain its order of starlikness and convexity.
Generalized Bessel function, Hypergeometric function, univalent function, Starlike function, convex function, integral operator, β-uniformly starlike function, β-uniformly convex function
