skbmoore

 6 Double series convergent to $2\zeta(4)$? 5 Asymptotic behaviour of sums involving $k$, $\log(k)$ and $H_{k}$ 5 The asymptotic expansion of an integral of an exponential function 5 An interesting identity involving Jacobi $\theta_4$ and $\zeta(2)$ 4 Integral $T_n=\int_{0}^{\pi/2}x^{n}\ln(1+\tan x)\,dx$

### Reputation (2,274)

 +10 Summation Involving Product Of Two Identical Polynomials. +10 Error in the Chudnovsky Formula +15 Sum with Bernoulli polynomial +10 Alternating series combining harmonic number and zeta values

### Questions (4)

 5 Alternate proof for weighted alternating shifted central binomial sum relation 2 Conjecture on limit of a partial fraction expansion involving tan and cot 2 Show $\sum_{k=0}^\infty \frac{1}{(k+a)\binom{n+k}{k}}=\frac{-\,n!}{(1-a)_n}\Big(\gamma+\psi(a)+\sum_{k=1}^{n-1}\frac{1}{k}\frac{(1-a)_k}{k!}\Big)$ 1 Extend an asymptotic relation with integer parameter to real parameters?

### Tags (80)

 53 sequences-and-series × 21 24 special-functions × 13 44 definite-integrals × 21 15 summation × 10 38 asymptotics × 21 14 combinatorics × 11 37 integration × 21 14 bessel-functions × 8 37 calculus × 18 13 limits × 7

### Accounts (2)

 Mathematics 2,274 rep 311 MathOverflow 274 rep 13