CONVERGENT FACTORIAL SERIES SOLUTIONS OF SINGULAR OPERATOR EQUATIONS

Analysis ◽  
1990 ◽  
Vol 10 (2-3) ◽  
Author(s):  
GERARD R. ◽  
D.A. LUTZ
Keyword(s):  
Singular Operator ◽  
Series Solutions ◽  
Operator Equations ◽  
Factorial Series

scholarly journals Special formal series solutions of linear operator equations

2000 ◽  
Vol 210 (1-3) ◽  
pp. 3-25 ◽  
Author(s):  
Sergei A. Abramov ◽  
Marko Petkovšek ◽  
Anna Ryabenko
Keyword(s):  
Linear Operator ◽  
Formal Series ◽  
Series Solutions ◽  
Operator Equations ◽  
Linear Operator Equations

scholarly journals INVERSE FACTORIAL-SERIES SOLUTIONS OF DIFFERENCE EQUATIONS

2004 ◽  
Vol 47 (2) ◽  
pp. 421-448 ◽  
Author(s):  
A. B. Olde Daalhuis
Keyword(s):  
Hypergeometric Function ◽  
Difference Equations ◽  
Asymptotic Expansions ◽  
Subject Classification ◽  
Series Solutions ◽  
Linear Difference Equations ◽  
Secondary 33C05 ◽  
Rank One ◽  
Factorial Series ◽  
Primary 34E05

AbstractWe obtain inverse factorial-series solutions of second-order linear difference equations with a singularity of rank one at infinity. It is shown that the Borel plane of these series is relatively simple, and that in certain cases the asymptotic expansions incorporate simple resurgence properties. Two examples are included. The second example is the large $a$ asymptotics of the hypergeometric function ${}_2F_1(a,b;c;x)$.AMS 2000 Mathematics subject classification: Primary 34E05; 39A11. Secondary 33C05

Convergence of Newton-like methods for singular operator equations using outer inverses

1993 ◽  
Vol 66 (1) ◽  
pp. 235-257 ◽  
Author(s):  
M. Z. Nashed ◽  
X. Chen
Keyword(s):  
Singular Operator ◽  
Operator Equations

Application of the Leray–Schauder alternative to nonlinear singular operator equations

2009 ◽  
Vol 71 (5-6) ◽  
pp. 1807-1811
Author(s):  
Ishak Altun ◽  
Kerim Koca
Keyword(s):  
Singular Operator ◽  
Operator Equations
Sign in / Sign up

Export Citation Format

Share Document