Analytic continuation of the Kampé de Fériet function and the general double Horn series

For the Kampé de Fériet function, such analytic continuation formulas are obtained that allow one to represent this function as exponentially converging hypergeometric series in the complement to the convergence domain of the original series. This result has been obtained using the found formulas for the analytic continuation of the Horn series in two variables. © 2022 Informa UK Limited, trading as Taylor & Francis Group.

Authors
Bezrodnykh S.I. 1, 2
Journal
Integral Transforms and Special Functions
Publisher
Taylor and Francis Ltd.
Language
English
Status
Published
Link
External link
DOI
10.1080/10652469.2022.2056601
Year
2022
Organizations
  • 1 Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Moscow, Russian Federation
  • 2 Peoples Frienship University of Russia (RUDN University), Moscow, Russian Federation
Keywords
analytic continuation; Horn series; Kampé de Fériet function; Multiple hypergeometric functions
Date of creation
06.07.2022
Date of change
06.07.2022
Short link
https://repository.rudn.ru/en/records/article/record/84081/
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