Starlikeness and convexity of an integral transformisntegral transform

Geometric properties of the generalized Wright-Bessel functions

“…Raducanu [12], Bansal and Prajabat [13] worked on some geometric properties of Mittag-Leffler functions. The starlikeness and convexity conditions normalized Bessel functions were studied intensively by Ponnusamy and Baricz [16]. Prajabat [14] obtained some conditions for geometric properties of Wright functions.…”

Properties of Functions Involving Struve Function

“…In light of Louis de Brange using a special function, namely the generalized hypergeometric function, in proving the Bieberbach Conjecture, renewed interest was sparked among the mathematics community in special functions. Following this, many articles were presented in dealing with the geometric properties of different types of special functions including but not limited to generalized hypergeometric function, Gaussian, Kummer hypergeometric functions, Bessel functions, and, most recently, Struve functions [1][2][3][4][5][6][7][8][9]. Sufficient conditions on the parameters of these special functions were also determined by many authors for them to belong to a certain class of univalent functions [10][11][12][13][14][15][16][17][18][19][20].…”

Some Characterizations for a Certain Generalized Bessel Function of the First Kind to Be in Certain Subclasses of Analytic Functions

“…Frasin [18] obtained various sufficient conditions for the convexity and strong convexity of the integral operators defined by the normalized form of the ordinary Bessel function of the first kind. Also, the problem of geometric properties (such as univalence, starlikeness and convexity) of some generalized integral operators has been discussed by many authors [10]- [14], [17], [19], [23] and [29].…”