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The functions: $$J_1(a\sqrt x) = ?? $$ $$I_1(a\sqrt x) = ?? $$ s.t. $$a, \sqrt x \in R $$

See the first answer to a question I've asked previously for an example of what I'd be looking for.

Please provide a function approximating the following hypergeometric series?

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  • $\begingroup$ Are you looking for approximations for small or large values of the argument ? $\endgroup$ Jun 11, 2019 at 4:14
  • $\begingroup$ @ClaudeLeibovici Large values of the argument, and any domain exceptions. Positive numbers preferred, will take answers about negative numbers too. $\endgroup$ Jun 12, 2019 at 18:42

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