Towards a change of variable formula for "hypergeometrization"
We are going to study properties of "hypergeometrization" -- an operator which act on analytic functions near the origin by inserting two Pochhammer symbols into their Taylor series. In essence, this operator maps elementary function into hypergeometric. The main goal is to produce number...
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| Sprache: | eng |
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| Zusammenfassung: | We are going to study properties of "hypergeometrization" -- an operator
which act on analytic functions near the origin by inserting two Pochhammer
symbols into their Taylor series. In essence, this operator maps elementary
function into hypergeometric. The main goal is to produce number of "change of
variable" formulas for this operator which, in turn, can be used to derive
great number of transform for multivariate hypergeometric functions. |
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| DOI: | 10.48550/arxiv.2211.02049 |