Coefficient inequalities for $q$-starlike functions associated with the Janowski functions

Some Coefficient Inequalities of q-Starlike Functions Associated with Conic Domain Defined by q-Derivative

“…which shows that inequality (38) is true for = + 1, and hence the required result. For = 0, The above result reduces to the following result, proved by Srivastava et al [29]. Corollary 8.…”

“…If = 2 , then, the equality holds for ( ), which is such that ( )/ ( ) is reciprocal of one of the function such that equality holds in the case of = 1 , where 1 and 2 are defined by (49) and (50), respectively. For = 0, the above result reduces to the following result, proved by Srivastava et al [29]. Corollary 11.…”

“…It is noted that 0 − [ , ] = * [ , ], the well-known class of q-starlike functions, introduced by Srivastava et al [29] and lim →1− ( − [ , ]) = − [ , ], the wellknown class of Janowski k-starlike functions, introduced by Noor and Malik [27].…”

A Study of Multivalent q-starlike Functions Connected with Circular Domain

“…347 et seq.]). The theory of q-starlike functions was later extended to various families of q-starlike functions by (for example) Agrawal and Sahoo [1] (see also the recent investigations on this subject by Srivastava et al [32,33,34,35,36,37]). Motivated by these q-developments in Geometric Function Theory, many authors such as like Srivastava and Bansal [29] were added their contributions in this direction which has made this research area much more attractive.…”

Class of Analytic Functions Defined by q-Integral Operator in a Symmetric Region

“…Many researchers contributed to the development of the theory by introducing certain classes with the help of q-calculus. For some details about these contributions, see [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]. We contribute to the subject by studying the q-integral operator in the conic region.…”