CONFLUENCES OF APPELL'S <i>F</i>₂SYSTEM OF HYPERGEOMETRIC DIFFERENTIAL EQUATIONS

DOI10.2206/kyushujm.77.1OpenAlexW4387656409MaRDI QIDQ6091033

Shigeo Mukai

Publication date: 23 November 2023

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2206/kyushujm.77.1

zbMATH Keywords

Pfaffian systemEuler-type integralsKummer's confluent hypergeometric functions

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Appell, Horn and Lauricella functions (33C65) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Linear ordinary differential equations and systems in the complex domain (34M03)

Cites Work

• On confluences of the general hypergeometric systems
• On confluences of general hypergeometric systems
• CONNECTION FORMULAS AND IRREDUCIBILITY CONDITIONS FOR APPELL^|^rsquo;S F2
• PFAFFIAN SYSTEMS OF CONFLUENT HYPERGEOMETRIC FUNCTIONS OF TWO VARIABLES
• Hypergeometrische Funktionen zweier Veränderlichen
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