On the Global Representation of the Solutions of Second-Order Linear Differential Equations Having an Irregular Singularity of Rank One in $\infty $ by Series in Terms of Confluent Hypergeometric Functions

DOI10.1137/0517077zbMath0646.34009OpenAlexW2028710846MaRDI QIDQ3789892

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Publication date: 1986

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0517077

zbMATH Keywords

confluent hypergeometric functions Whittaker functions

Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Classical hypergeometric functions, ({}_2F_1) (33C05) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (6)

Expansions of the solutions of the general Heun equation governed by two-term recurrence relations for coefficients ⋮ Expansions of the solutions of the confluent Heun equation in terms of the incomplete Beta and the Appell generalized hypergeometric functions ⋮ Generalized confluent hypergeometric solutions of the Heun confluent equation ⋮ On the Central Connection Problem for the Double Confluent Heun Equation ⋮ SERIES SOLUTIONS OF CONFLUENT HEUN EQUATIONS IN TERMS OF INCOMPLETE GAMMA-FUNCTIONS ⋮ Ince’s limits for confluent and double-confluent Heun equations

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