We consider positive powers of a rational generating function F(x, z) of the variable z whose numerator has degree at most 1, denominator has degree 2, and where coefficients are functions of x. Many ...

Modular forms are much more complicated and enigmatic functions, and students don’t typically encounter them until graduate school. But “there are probably fewer areas of math where they don’t have ...

In the present study, we consider two subclasses of starlike and convex functions, denoted by S ℬ * and 𝐶ℬ respectively, associated with a bean-shaped domain. Further, we estimate certain sharp ...