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Degenerate Gauss hypergeometric functions

open access: yesDegenerate Gauss hypergeometric functions
In this paper we study terminating and ill-defined Gauss hypergeometric functions. For their hypergeometric equations, the set of 24 Kummer′s solutions degenerates. We describe those solutions and relations between them. Kyushu University 21st Century COE Program Development of Dynamic Mathematics with High Functionality 九州大学21世紀COEプログラム「機能数理学の構築と展開」
openaire  

Analysis of dead-core formation in catalytic reaction and diffusion processes with generalized diffusion flux. [PDF]

open access: yesSci Rep, 2022
Skrzypacz P   +5 more
europepmc   +1 more source

On branched continued fraction expansions of hypergeometric functions \(F_M\) and their ratios

open access: yesModern Mathematical Methods
The paper investigates the problem of constructing branched continued fraction expansions of hypergeometric functions \(F_M(a_1,a_2,b_1,b_2;a_1,c_2;\mathbf{z})\) and their ratios.
Ivan Nyzhnyk   +2 more
doaj  

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