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)

• 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)

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

• 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)

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