Exceptional cauchy problems and regular singular points

References

• Blum , E. K. 1954 . The solutions of the Euler-Poisson-Darboux equation for negative values of the parameter . Duke Math. J. , 21 : 256 – 269 .
   Google Scholar
• Blum , E. K. 1954 . The Euler-Poisson-Darboux equation in the exceptional cases . Proc. Amer. Math. Soc. , 5 : 511 – 520 .
   Google Scholar
• Bragg , L. R. 1976 . The Riemann-Liouville integral and parameter shifting in a class of linear abstract Cauchy problems . SIAM J. Math. Anal. , 7 : 1 – 12 .
   Google Scholar
• Bragg , L. R. 1977 . Some abstract Cauchy problems in exceptional cases . Proc. Amer. Math. Soc. , 63 : 105 – 112 .
   Google Scholar
• Bureau , F. J. 1954 . Divergent integrals and partial differential equations . Comm Pure Appl. Math. , 12 : 143 – 202 .
   Google Scholar
• Diaz , J. B. and Weinberger , H. F. 1953 . A solution of the singular initial value problem for the Euler-Poisson-Darboux equation . Proc. Amer. Math. Soc. , 4 : 703 – 715 .
   Google Scholar
• Donaldson , J. A. 1970 . A singular abstract Cauchy problem . 66 : 269 – 274 .
   Google Scholar
• Luke , Y. 1969 . The Special Functions and Their Approximations , Vol. 1 , New York : Academic Press .
   Google Scholar
• Rainville , E. D. 1943 . Intermediate Differential Equations , New York : John Wiley and Sons .
   Google Scholar
• Weinstein , A. 1952 . Sur le problème de Cauchy pour l'equation de Poisson et l'equation des ondes . Comptes Rendus Acad. Sci. Paris , 234 : 2584 – 2585 .
   Google Scholar