Okay, so I'm working with a rather frustrating problem with a calculus equation. I'm trying to solve a calculus equation which I conceptualized from existing methods involving complex number fractal equations. I'm very familiar with pre-calculus, while being self-taught in portions of calculus...
I am sure I am overlooking something elementary, but playing around with exponentiation (this is not an assignment), I seem to be making a mistake somewhere. Please don't send me a link for a more compact way of getting the correct result; I wish to know what my particular mistake is.
Suppose...
Hello.
I have a difficulty to understand the branch cut introduced to solve this integral.
\int_{ - \infty }^\infty {dp\left[ {p{e^{ip\left| x \right|}}{e^{ - it\sqrt {{p^2} + {m^2}} }}} \right]}
here p is a magnitude of the 3-dimensional momentum of a particle, x and t are space and time...
Does there exist and analytical expression for the following integral?
I\left(s,m_{1},m_{2},L\right)=\sum_{\boldsymbol{n}\in\mathbb{N}^{3}\backslash\left\{ \boldsymbol{0}\right\}...
In my electrical engineering textbook, they have an entire chapter devoted to the complex Exponential. I dont really understand it, nor do I understand its importance.
I know it is extremely important, and need to understand why, and what exactly it is, and the wording of the online resources...
I appreciate the opportunity afforded by this forum to submit a question.
I have struggled with the derivation shown in the attached picture. I am certainly unfamiliar with the concept used to include the arctan function in the encircled step.
Would be highly appreciative of a prompt.
Best...