2024
Towards a change of variable formula for “hypergeometrization”
BLASCHKE, PetrBasic information
Original name
Towards a change of variable formula for “hypergeometrization”
Authors
BLASCHKE, Petr (203 Czech Republic, guarantor, belonging to the institution)
Edition
Journal of Mathematical Analysis and Applications, San Diego (USA), Academic Press Inc. Elsevier Science, 2024, 0022-247X
Other information
Language
English
Type of outcome
Article in a journal
Field of Study
10101 Pure mathematics
Country of publisher
United States of America
Confidentiality degree
is not subject to a state or trade secret
Impact factor
Impact factor: 1.200
RIV identification code
RIV/47813059:19610/24:A0000150
Organization unit
Mathematical Institute in Opava
UT WoS
001218974400001
EID Scopus
2-s2.0-85187652525
Keywords in English
Hypergeometrization; Hypergeometric function; Appell's function; Horn's function; Saran's function
Tags
International impact, Reviewed
Links
GA21-27941S, research and development project.
Changed: 20/3/2025 16:27, Mgr. Aleš Ryšavý
Abstract
In the original language
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.