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John D. Cook

DNA sequence alignment and Delannoy numbers Distinguishing variables from parameters Silver Rectangles and the Ways of Kings Derivative equals inverse Who you gonna believe: Grok or the docs? Brace expansion tree When will the decimals in a/b repeat? Height of harmonic numbers Writing down harmonic numbers Hart’s theorem Incircles and Excircles of Pythagorean triangles Regular expressions that work “everywhere” Consecutive Pythagorean triangle sides The Star Trek lemma Lobachevsky’s integral formula Queens on a prime order board All pieces on a 6 by 5 board Formalizing a ring theorem with Lean 4 and Claude Partial fraction decomposition Three examples suffice Testing pentagonal numbers Quaternion Rotations, Claude, and Lean Writing Prolog with ChatGPT RSA munitions T-shirt Solving a chess puzzle with Claude and Prolog Formally proving a calculation with Claude and Lean Pulling on a thread Aitken acceleration before Aitken The Laplace limit A crank formula for π Mr. Bessel’s eponymous functions
From Kepler to Bessel
John · 2026-06-07 · via John D. Cook
The previous post very briefly said that the integral representation for Bessel functions was motived by solv…