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

1986 ◽  
Vol 17 (5) ◽  
pp. 1086-1103 ◽  
Author(s):  
Theo Kurth ◽  
Dieter Schmidt
Keyword(s):  
Differential Equations ◽  
Hypergeometric Functions ◽  
Second Order ◽  
Linear Differential Equations ◽  
Irregular Singularity ◽  
Order Linear ◽  
Confluent Hypergeometric Functions ◽  
Rank One ◽  
Global Representation ◽  
Linear Differential

XXVI.—Some Confluent Hypergeometric Functions of Two Variables

1940 ◽  
Vol 60 (3) ◽  
pp. 344-361 ◽  
Author(s):  
A. Erdélyi
Keyword(s):  
Differential Equations ◽  
Hypergeometric Functions ◽  
Second Order ◽  
Linear Differential Equations ◽  
Confluent Hypergeometric Functions ◽  
Functions Of Two Variables ◽  
Partial Linear ◽  
Linear Differential ◽  
Image Position

1. This paper is the continuation of a former one (Erdélyi, 1939), and deals with the integration of the system of two partial linear differential equations of the second orderThe former paper will be referred to as I; all the notations of I will be retained without further explanation.

A mechanical method for the solution of second-order linear differential equations

1931 ◽  
Vol 27 (4) ◽  
pp. 546-552 ◽  
Author(s):  
E. C. Bullard ◽  
P. B. Moon
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Order Differential Equation ◽  
Second Order ◽  
Linear Differential Equations ◽  
Mechanical Method ◽  
Order Linear ◽  
Second Order Differential Equation ◽  
Linear Differential

A mechanical method of integrating a second-order differential equation, with any boundary conditions, is described and its applications are discussed.

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