Some precise estimates of the hyper order of solutions of some complex linear differential equations.
By making use of the known concept of neighborhoods of analytic functions we prove several inclusions associated with the -neighborhoods of various subclasses of starlike and convex functions of complex order which are defined by the generalized Ruscheweyh derivative operator. Further, partial sums and integral means inequalities for these function classes are studied. Relevant connections with some other recent investigations are also pointed out.
We introduce subclasses of analytic functions of bounded radius rotation, bounded boundary rotation and bounded Mocanu variation with respect to -symmetric conjugate points and study some of its basic properties.
Combining difference and q-difference equations, we study the properties of meromorphic solutions of q-shift difference equations from the point of view of value distribution. We obtain lower bounds for the Nevanlinna lower order for meromorphic solutions of such equations. Our results improve and extend previous theorems by Zheng and Chen and by Liu and Qi. Some examples are also given to illustrate our results.