Special FunctionsReading edition

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The complete manuscript was reviewed for prose, definitions, hypotheses, notation, cross-references and agreement between chapter summaries and proof appendices. Corrections include the Hankel order convention, zero-orbit notation, the real-polynomial domain of signed quadratic forms and several missing definitions. The chapter text now includes both finite-test nonconvexity examples proved in Appendix C.

Fresh execution covered all ten foundational check scripts and the three coupled and resolution scripts. The foundational scripts passed 19,871 exact and 5,576 numerical assertion statements. The coupled scripts passed 5,272 exact and 26 numerical assertion statements, with 13 separate operational guards. All 14 coupled and resolution figure pairs were regenerated. Counts describe executed finite assertions, not independent theorems or exhaustive parameter coverage.

The first foundational orchestration attempt reached the execution time limit after nine scripts had recorded passing results. The final script was then run separately against the same isolated input snapshot and passed. The retained logs distinguish this recovered execution failure from a mathematical or numerical assertion failure.

The editorial change log, exact source diff and fresh execution records are included in the package. No Lean build was performed. Analytic conclusions continue to rest on the written proofs and their stated hypotheses.

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This HTML edition follows the retained manuscript. It adds no proof review or Lean coverage.

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