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Apr
27
comment Mellin convolution and Mellin transform
hi, finally proved it by setting $ y =1/u$ as a change of variable in teh proof of the first identity thanks anyway
Apr
27
comment Mellin convolution and Mellin transform
thanks but i don'te get it all :) $ u=xy$ but how i do compute the differential $ du$ i forgot how is it done sorry
Apr
10
comment Wrong proof of the functional equation for $ \zeta (s) $ but why is the result correct?
it is exists i the sense f zeta regularization :D
Apr
10
comment Wrong proof of the functional equation for $ \zeta (s) $ but why is the result correct?
but it is supposed that CORRECT results should come form CORRECT mathematics
Dec
31
comment Infinite product for a generalization of gamma function
$ c_{n} (a) $ are the poles of the function $ g(x,a) $ for a given 'a' real number
Nov
14
comment The limit of $ m\int_{a}^{1/m} \frac{dx}{x}=0 $ and $ m\int_{a}^{\infty} \frac{dx}{x^{1+m}}=0$ as $m\to0$
so the limit itself does not exist ?
Nov
14
comment The limit of $ m\int_{a}^{1/m} \frac{dx}{x}=0 $ and $ m\int_{a}^{\infty} \frac{dx}{x^{1+m}}=0$ as $m\to0$
$ m \to 0 4 sorry i forgot
Nov
14
comment Inhomogeneus recurrence relation $a_{n+1} = 2a_n+3^n+4^n$
fro 4 n \to \infty $ your difference equation becomes $ y'(x)=y(x)+3^{x}+4^{x} $ solve this and you will have an approximate solution
Nov
7
comment Inverse Laplace Transform of $s^n$
i thinks is more like $ (-1)^{n} \delta ^{n} (x) $$ the derivatives of delta function
Nov
6
comment zeta regularization separation of series
by curiosity what would happen with this identity if $ k=1 $
Nov
6
comment singular fnction involving gamma function
my probelm was most related to see if the derivatives of $$ \frac{\Gamma (z+1)}{\Gamma (z-2r+1)} $$ for m negative and r postive turned to be $\infty$
Nov
6
comment singular fnction involving gamma function
OK tahnks i need it for any formula involivng Euler-Maclaurin summation formula thanks Daniel :)
Jun
16
comment Numerical Methods for estimating divergence over an improper integral
expand the function into a Laurent series convergent whenever $ x<1 $ and antoher , wich is convergent $ x >1 $
Jun
6
comment Asymptotic of a sum evaluation as $ x \to \infty $
why not ?, what i have made wrong in my approximation
Jun
5
comment Solve the Sturm-Liouville problem $y'' + λy = 0$ given $y(0) = 0$, $y'(6) = 0$?
for the firste term the solution is $ y(X)=Asin( \sqrt{\lambda}x $ so $ B=0$ and $ y(0)=0 $ . The quantization condition comes from the secon equation $ y'(6)=0= \sqrt{\lambda}cos( \sqrt{\lambda} 6) $
May
30
comment $\psi(p_{n+1}) - \psi(p_n)$?
with the prime number theorem on mind $ \Psi (x) \to 0 $ so for big primes the different will be about $ \p_{n+1}-p_{n} $ but again in prime number theorem $ p_{n} \to nlog(n) $ so we have that $ S(p_{n}) \to 1+log(n) $
May
29
comment an implicit solution is valid to show that the solution exists??
wel if you lik put $ y^{-1}(x)=x(y)$ but i have always written this way with the minus 1
May
29
comment an implicit solution is valid to show that the solution exists??
i have said that the solution to a certain differential equation $ y^{-1}(x)=x+g(X) $ but g(x) is known the unknon is $ y(x) $
May
29
comment Euler product for Riemann zeta and analytic continuation
the question IS : can we use borel transform to make an analytic continuation of the Euler product ?
May
26
comment Gram's series for integral equation
if someone wants to look my solution of the integral equation of first kind vixra.org/abs/1304.0013 i extend GRAM SERIES to other integral equations as well