Skip to main content
Log in

Addition theorems for solutions to linear homogeneous constant coefficient ordinary differential equations

  • Research Papers
  • Published:
aequationes mathematicae Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Aczél, J.,Lectures on functional equations. Academic Press, London, 1966.

    Google Scholar 

  2. Aczél, J.,Functions of binomial type mapping groupoid into rings. Math. Z.154 (1977), 115–124.

    Google Scholar 

  3. Ahlfors, L. V.,Complex analysis, 3rd ed. McGraw-Hill, London, 1979, p. 43.

    Google Scholar 

  4. Appell, P., Sur une classe de polynômes. Ann. Sci. Ecole Norm. Sup. (2)9 (1880), 119–144.

    Google Scholar 

  5. Erdelyi, A., Magnus, W., Oberhettinger, F. andTricomi, F. G.,Higher transcendental functions. McGraw-Hill, New York, 1953.

    Google Scholar 

  6. Krom, M.,Solution spaces of differential equations. Math. Mag.52 (1979), 246–248.

    Google Scholar 

  7. McKiernan, M. A.,The matrix equation a(x o y) = a(x) + a(x)a(y) + a(y). Aequationes Math.15 (1977), 213–223.

    Google Scholar 

  8. McKiernan, M. A.,Equations of the form H(x o y) = Σ t f t (x)g t (y). Aequationes Math.16 (1977), 51–58.

    Google Scholar 

  9. Mullin, R. andRota, G.-C.,On the foundations of combinatorial theory, III: Theory of binomial enumeration. In:Graph Theory and its Applications, Academic Press, New York, 1970, pp. 167–213.

    Google Scholar 

  10. Roman, S. M. andRota, G.-C.,The umbral calculus. Adv. in Math.27 (1978), 95–188.

    Google Scholar 

  11. Rota, G.-C., Kahaner, D. andOdlyzko, A.,On the foundations of combinatorial theory, VIII: Finite operator calculus. J. Math. Anal. Appl.42 (1973), 684–760.

    Google Scholar 

  12. Simmons, G. F.,Differential equations with applications and historical notes. McGraw-Hill, London, 1972, p. 117.

    Google Scholar 

  13. Ungar, A.,Generalized hyperbolic functions. Amer. Math. Month.89 (1982), 688–691.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ungar, A. Addition theorems for solutions to linear homogeneous constant coefficient ordinary differential equations. Aeq. Math. 26, 104–112 (1983). https://doi.org/10.1007/BF02189670

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02189670

AMS (1980) subject classification

Navigation