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I am an engineer who is in love with math and lifelong math student. I love to learn new things in mathematics for self-satisfaction. My idols are Gauss , Euler , Ramanujan because they were in love with math as I feel.


Oct
13
accepted How to find sum of coefficients of $\frac{d^n}{dx^n} \left( Z(x)^m \right)$
Jul
26
accepted To find the volume of the region that is bordered by 4 points in 3D space
May
29
accepted To evaluate $\int_0^{+\infty} \frac{\;\mathrm dx}{\sqrt[3]{x^3+a^3}\sqrt[3]{x^3+b^3}\sqrt[3]{x^3+c^3}}$
May
15
accepted Can we prove that all equations can be solved via complex numbers?
Oct
6
accepted Euler's infinite product for the sine function and differential equation relation
Aug
13
accepted To generalize of Fermat's Last theorem, to find the solution of $a^n+b^n+c^n = d^n$
Jul
9
accepted How can we prove $\pi =1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}-\frac{1}{5}+\frac{1}{6}+\frac{1}{7}+\cdots\,$?
Jun
10
accepted To solve $U''_{n}(x)-\frac{2n}{x}U'_{n}(x)+(\frac{2n}{x^2}-1)U_{n}(x)=0 $
Apr
22
accepted To check the solution via radicals
Apr
11
accepted Prime number generating function as product expansion
Mar
14
accepted Differential equation $y'=\frac{1-xy}{y-x^2}$
Feb
25
accepted 2 circles and one ellipse and minimum area problem.
Feb
25
accepted To get addition formula of $\tan (x)$ via analytic methods
Oct
24
accepted Determine the path that created by a sector of circle
Oct
22
accepted How to solve the differential equation $u_k(z)=-2\cfrac{\partial}{\partial z }(\cfrac{u_{k+1}(z)}{z})$?
Oct
15
accepted How to solve the recurrence relation of $f_n(x)=A_n(a,b)x+B_n(a,b)f(x)$
Oct
7
accepted Nth derivative of $\tan^m x$
Oct
1
accepted How can I express such function as known functions or power series?
Sep
22
accepted How to prove $(x^2-1) \frac{d}{dx}(x \frac{dE(x)}{dx})=xE(x)$
Sep
14
accepted Second order non-linear differential equation