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Aug 23, 2016 at 18:05 comment added user83150 The last series diverges, considering some special cases in my initial research question.
Feb 22, 2016 at 13:17 history edited user83150 CC BY-SA 3.0
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Feb 22, 2016 at 12:50 comment added user83150 @Martin Thank you very much Martin! Indeed, I need to prove the convergence of the series $$ \sum_{p=0}^{\infty} \frac{x^{2p}}{(2p)!} A_p, $$ which resembles to your function $f(x)$. Then I need to see if I can obtain more information from your proposed equation. Thanks again! I'll be back soon!
Feb 20, 2016 at 21:52 comment added Martin Rubey I just noticed (by computer) that $f(x) = \sum_{p,k} c_{p,k} t^k \frac{x^p}{p!}$ seems to satisfy $f'' - 3t f^2 + (2t-1)f = 0$. I have no idea whether that might be helpful, though.
Feb 20, 2016 at 2:16 history edited user83150 CC BY-SA 3.0
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Dec 4, 2015 at 12:04 history edited user83150 CC BY-SA 3.0
More precise statement of the question, omitting the redundant explanations
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Dec 4, 2015 at 1:52 history edited Bjørn Kjos-Hanssen CC BY-SA 3.0
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Dec 4, 2015 at 1:22 history edited user83150 CC BY-SA 3.0
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Nov 23, 2015 at 18:36 history edited user83150 CC BY-SA 3.0
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Nov 23, 2015 at 16:24 review First posts
Nov 23, 2015 at 16:41
Nov 23, 2015 at 16:21 history asked user83150 CC BY-SA 3.0