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Question on number of solutions of $\sin (e^{x}) = e^{\sin x}$

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#sequences-and-series #limits
64
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Closed Form of the following infinite series

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#sequences-and-series #special-functions #hypergeometric-function #hyperbolic-functions
247
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Explicit definition for Sn, n>=1, for following infinite sequence of elements (0,1,0,0,1,0,0,0,1,0,0,0,0,1…)

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#sequences-and-series #discrete-mathematics
50
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Coefficients in a Fourier series

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#sequences-and-series #fourier-series
88
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How many ways can dominoes cover a $2 \times n$ rectangle? Justify proposed solution.

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#sequences-and-series #combinatorics #proof-writing #fibonacci-numbers #golden-ratio
81
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A quasi-analytic nowhere analytic function?

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#real-analysis #sequences-and-series #complex-analysis #analysis
1.1k
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Sum to infinity of reciprocal of arithmetic sequence terms

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#sequences-and-series #arithmetic-progressions
80
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convergence criteria from real to complex domains?

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#sequences-and-series #complex-analysis #convergence-divergence
536
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Root test for sequences.

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#real-analysis #sequences-and-series
101
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can you find easier formula for this squence?

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#sequences-and-series #pattern-recognition
62
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Monotonically increasing sequences in $[0,\infty]$

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#sequences-and-series #general-topology
326
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Addition formula for Bessel functions

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#sequences-and-series #special-functions #bessel-functions
58
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Uniform convergence of functional series $\sum\limits_{n=1}^{\infty}\frac{1}{x+n}*th\frac{x}{\sqrt{n}}$

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#sequences-and-series
77
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Show that this sum is not bounded below

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#real-analysis #sequences-and-series #proof-verification
52
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$\sum_{m=0}^{\infty}x^m\sum_{k=0}^{\infty}W_{m,k}f_k=\sum_{n=1}^{\infty}\frac{1}{n(n+1)}\sum_{k=0}^{\infty}\left(\frac{n+x}{n(n+1)}\right)^k f_k$?

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#sequences-and-series #summation #taylor-expansion

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