Sentence examples for functions of order from inspiring English sources

are the classes of starlike functions of order and convex functions of order in, respectively.

Let denote the class of starlike functions of order.

More generally, for, the classes of convex functions of order and starlike functions of order are, respectively, defined by or.

For,, and are, respectively, the familiar classes of starlike functions of order and consisting of convex functions of order.

The well-known result that the classes of starlike functions of order and convex functions of order are closed under convolution with prestarlike functions of order follows from the following.

For and, we have the class (1.18). of -uniform starlike functions of order and type, [4].

are the classes of multivalent starlike functions of order α and multivalent convex functions, respectively.

Also, N ˜ 2 ( 1, ρ, 0 ) = C is the class of convex functions of order ρ.

Let and be entire functions of order less than 1 with and being transcendental.

We denote by the classes of starlike and convex functions of order, respectively, defined by.

For and, we have the class (1.10). of -starlike functions of order defined by Sălăgean [2].