What is an invert transform and how does it relate to the hankel transform?

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An invert transform is defined as a type of transform that preserves the Hankel transform, alongside the Binomial transform. The discussion highlights the difficulty in finding sources that define invert transforms. A user shares their discovery of the definition from the Online Encyclopedia of Integer Sequences, presenting the formula b_n=1/(1+\sum_i^na_ix^i). This indicates that invert transforms have specific mathematical properties relevant to sequence transformations. Overall, the conversation emphasizes the importance of understanding these transforms in mathematical contexts.
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Guys, could anyone tell me what is an invert transform by definition, I simply cannot find any source about it. It is one kind of the transform that preserves the hankel transform; the other one is Binomial transform. Thanks!
 
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Oh, I am sorry that I have spamed.. but I have figured out the answer... from Online Encylopedia of Integer Sequence website.. it is b_n=1/(1+\sum_i^na_ix^i), pretty cool...
 
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