Towards a change of variable formula for “hypergeometrization”

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F24%3AA0000150" target="_blank" >RIV/47813059:19610/24:A0000150 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0022247X24001914" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0022247X24001914</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2024.128269" target="_blank" >10.1016/j.jmaa.2024.128269</a>

Result language
angličtina
Original language name
Towards a change of variable formula for “hypergeometrization”
Original language description
We will study the properties of “hypergeometrization” - an operator that acts on analytic functions around the origin by inserting two Pochhammer symbols into their Taylor series. This operator basically maps elementary functions to hypergeometric ones. The main goal is to derive several “change of variables” formulas for this operator, which can then be used to derive a large number of transformations for multidimensional hypergeometric functions.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA21-27941S" target="_blank" >GA21-27941S: Function theory and related operators on complex domains</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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