This course will introduce you to the theory of functions of complex variables, which is a core area of mathematics. It is a basic tool in many mathematical theories. We will cover complex numbers and ...

Trigonometric identities are powerful tools for simplifying complex equations in math and science. Three core groups—reciprocal, quotient, and Pythagorean—form the foundation. Effective ...

The standard math C library can be used to implement functions such as divide, sqrt, cos, sin, etc. in C when dealing with real scalar data. Things get more complicated once you start adding complex ...

Section 1.1 (Page 4): 3,4, 5(a),6(b),7(c)8-16,18,22-23. Turn in: 22,23 Section 1.2 (Page 12): 3-5, 7(a)-(d), 8-11,13-14. Turn in: 7,13 Section 1.3 (Page 22): 2,5,6, 7 ...

Random analytic functions are a fundamental object of study in modern complex analysis and probability theory. These functions, often defined through power series with random coefficients, exhibit ...

We describe a method for point and interval estimation of population parameters from complex surveys using estimating functions. The theory was originally developed for infinite populations and has ...

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 ...