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  • 189 votes cast
Mar
14
accepted Evaluation of a power series
Mar
13
comment Evaluation of a power series
how can in terms of hypergeometric function ? what would be the method ?? thanks
Mar
13
answered Solve $x=y\frac{dy}{dx}-\left(\frac{dy}{dx}\right)^{2}$
Mar
13
asked Evaluation of a power series
Mar
13
comment How do I find $\sum_{n=1}^\infty \frac{1}{n^n}$
in terms of integral i think i saw this sum and was equal to $$ \int_{0}^{1}dxx^{-x}= \sum_{1}^{\infty}n^{-n} $$
Mar
11
answered Contour integration using Cauchy's integral formula
Mar
10
comment Continued fractions for $\sqrt{x} $ and beyond, valid formula?
but for positive $ x >1 $ the fraction should converge since $ x-1 >0 $ will be positive :) only for divergent values or for $ x=1 $ may we have some problems.
Mar
10
accepted Continued fractions for $\sqrt{x} $ and beyond, valid formula?
Mar
10
comment Continued fractions for $\sqrt{x} $ and beyond, valid formula?
don't know but i had some similar guess which turned to be invalid :D
Mar
10
asked Continued fractions for $\sqrt{x} $ and beyond, valid formula?
Mar
10
comment How to show $\sin(-iy)=i\sinh(y)$?
use Euler's identity $ sin(x)= \frac{e^{ix}-e^{-ix}}{2i} $ and the definition of the hyperbolic sine $ sin(x)= \frac{e^{x}-e^{-x}}{2} $ now just compare :) since $ i(-i)=1 $
Mar
9
asked Padé approximant for a function $ f(x) $ always valid?
Mar
1
asked 3 primes conjecture
Mar
1
answered Good book on integral equation?
Mar
1
answered Testing for convergence $\sum_{j=1}^{\infty}\frac{1}{\sum_{i=1}^{j}p_i}$
Mar
1
comment Testing for convergence $\sum_{j=1}^{\infty}\frac{1}{\sum_{i=1}^{j}p_i}$
the sum is convergent in think :D , by prime number theorem
Mar
1
accepted Dirac delta questions form Mellin transform
Feb
28
asked Dirac delta questions form Mellin transform
Feb
22
revised Has someone seen a discussion of the (divergent) summation of $\sum\limits_{k=0}^\infty (-1)^k (k!)^2 $?
added 292 characters in body
Feb
22
answered Has someone seen a discussion of the (divergent) summation of $\sum\limits_{k=0}^\infty (-1)^k (k!)^2 $?