Apery, Bessel, Calabi-Yau and Verrill
Gert Almkvist
TL;DR
This paper explores a differential equation connected to Bessel function moments, revealing that its solution at infinity involves coefficients that are squares of binomial coefficients.
Contribution
It uncovers a novel link between Bessel function moments and binomial coefficient squares in the solution at infinity.
Findings
Solution coefficients are squares of binomial coefficients.
The differential equation relates to Calabi-Yau and Verrill structures.
Provides new insights into Bessel function moments.
Abstract
A differential equation related to the moments of Bessel functions is shown to have a solution at infinity with coefficients being squares of binomial coefficients.
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Taxonomy
TopicsMathematical functions and polynomials · Fractional Differential Equations Solutions · Advanced Differential Equations and Dynamical Systems