## Classical Analysis

**Asymptotic Expansions **

- Asymptotic Behavior of Cosine Power Sums (Open)
- An Asymptotic Formula Involving Primes (Open)
- Asymptotic Behavior of a Sum of Cosecants (Solved)

**Inequalities**

- A Complex Arithmetic-Geometric Mean Inequality (Open)
- A Conjectured Inequality Arising in Source-Channel Image Coding (Open)

**Integrals**

- An Integral Identity from Physics (Open)
- For $p > 2$ Hausdorff-Young does not hold for the Laplace Transform on $L^p(0,\infty)$ (Open)
- Conjectured Bessel Moment Integrals (Open)
- A Subtle Integral? (Open)

- A Multiple Fractional Integral (Solved)

**Sequences and Series**

- An Infinite Product Identity (Open)
- A
*q*-Series Identity (Open) - A Natural Slow Series for
*e*(Open) - Three Series for $1/\pi^2$ and $1/\pi^3$ (Open)
- A Cosine Integral Series (Open)
- Dictionaries Are Like Timepieces (Open)
- Unsolved Problems in Common Waveform Analysis (Open)
- A Periodic Iteration (Open)
- A Log-Concave Sequence (Open)

- A New Formula for $\pi$ Related to Series of Ramanujan (Solved)
- A Calculus Exam Misprint (Solved)
- A "Harmonic" Series (Solved)
- Sum of the Reciprocals of Polygonal Numbers (Solved)
- Bilateral Binomial Theorem (Solved)
- An Infinite Product (Solved)
- A Family of Infinite Series (Solved)
- A Double Recurrence (Solved)
- Another Figure Eight Volume Problem (Solved)
- A Golden Example (Solved)
- A Gaussian Integer Zeta Sum (Solved)

**Special Functions**

- A Derivative Conjecture (Open)
- A Mellin Transform (Open)

**Other**

- A Fourier--Laplace Transform (Open)

- Fourier Transforms of Higher-Dimensional Analogues of the Hyperbolic Secant Function (Solved)
- How Smooth Should
*f*Be So That 1/*f*Is Convex? (Solved) - Convex? (Solved)
- Questions Concerning Entire Functions of Finite Order with Positive Taylor Coefficients (Solved)