Some systems of PDE associated with the multiple confluent hypergeometric functions and their applications

DOI10.1134/s1995080224600250zbMATH Open1545.33022MaRDI QIDQ6586698

Tuhtasin Gulamjanovich Ergashev, Z. O. Arzikulov

Publication date: 13 August 2024

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

zbMATH Keywords

self-similar solutionsfundamental solutionsGaussian hypergeometric functionAppell functionsHumbert functionsconfluent forms of hypergeometric functionsmultiple Lauricella hypergeometric functions

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Other functions coming from differential, difference and integral equations (33E30) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) Solutions to PDEs in closed form (35C05) Appell, Horn and Lauricella functions (33C65) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

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