Reputation
5,684
Top tag
Next privilege 10,000 Rep.
Access moderator tools
Badges
2 16 52
Impact
~268k people reached

Apr
21
answered Iteration of $A_{n}(q)=q^nA_{n-1} (q)$
Apr
19
comment Understanding Leibniz formula: $D^n (f g) = \sum\limits_{k=0}^{n} \binom{n}{k} D^{n-k}f D^kg$
@LukasArvidsson You are welcome. I am very glad that my answer helped you.
Apr
12
revised Understanding Leibniz formula: $D^n (f g) = \sum\limits_{k=0}^{n} \binom{n}{k} D^{n-k}f D^kg$
deleted 3 characters in body
Apr
12
answered Understanding Leibniz formula: $D^n (f g) = \sum\limits_{k=0}^{n} \binom{n}{k} D^{n-k}f D^kg$
Mar
26
awarded  Nice Question
Mar
22
awarded  Nice Answer
Mar
18
awarded  Popular Question
Feb
29
comment Finding Divisibility of Sequence of Numbers Generated Recursively
@MarkusScheuer Great work. As you pointed out, there is big similarity with my question to prove the divisibility , Your method also worked in this question well to obtain $x^k$ terms because of $e^x$ terms. Really ,Your series expansion method is very powerful to analyze divisibility for similar problems . Thanks a lot for sharing . Best Regards
Feb
26
comment How many different numbers can be written if each used digit symbol is used at least 2 times?
@MarkusScheuer I have noticed the wrong typing now even if I am very careful about it. I apologize for wrong typing your last name in my previous comment. I cannot edit it because İt is disabled. If you want, I can delete it. Thanks a lot for your understanding
Feb
26
comment How many different numbers can be written if each used digit symbol is used at least 2 times?
@MarkusScheuer: I have not found any book or link that shows that relation $n^{d}\equiv P(n,d) \pmod {d}$. I just wondered if you found any link about it. Please share if you found a link. Best Regards
Feb
25
revised How many different numbers can be written if each used digit symbol is used at least 2 times?
added 39 characters in body
Feb
25
revised How many different numbers can be written if each used digit symbol is used at least 2 times?
added 32 characters in body
Feb
25
revised How many different numbers can be written if each used digit symbol is used at least 2 times?
added 631 characters in body
Feb
25
comment Solving differential equation $y''(x)+Q(x)y(x)=0$
If you know any particular solution $y_p(x)$ that solves $y''(x)+Q(x)y(x)=0$ , You will find the general solution of your equation. There is no closed known solution method to find the particular solution if $Q(x)$ is not given. Of course there are a lot of endless series methods exist to solve the equation but no closed formula for general $Q(x)$.
Feb
25
comment Solving differential equation $y''(x)+Q(x)y(x)=0$
If you do not know an particular solution $(y_1(x))$ for the equation , there is no known general solution for the equation for $Q(x)$. If you want to check my question that related to this problem. math.stackexchange.com/questions/99850/…
Feb
25
comment How many different numbers can be written if each used digit symbol is used at least 2 times?
@MarkusScheuner Your last bonus opens a huge mysterical door for new research field. I have been searching the internet for $$ n^d \equiv P(n,d) \pmod {d}$$ but I have not found the theory. Have you found a related work in somewhere ? Best Regards
Feb
23
revised How many different numbers can be written if each used digit symbol is used at least 2 times?
added 23 characters in body
Feb
23
revised How many different numbers can be written if each used digit symbol is used at least 2 times?
added 38 characters in body
Feb
23
comment How many different numbers can be written if each used digit symbol is used at least 2 times?
@MarkusScheuer Thank you for your advice and help . I added an answer that shows the proof of my conjecture. Please advice if there is a mistake in it. Best Regards
Feb
23
revised How many different numbers can be written if each used digit symbol is used at least 2 times?
added 57 characters in body