References
- Kanwal RP. Generalized functions: theory and applications. 3rd ed. Boston (MA): Birkhauser; 2004
- Wiener J. Generalized-function solutions of the differential and functional differential equations. J Math Anal Appl. 1982;88:170–182. doi: 10.1016/0022-247X(82)90184-6
- Wiener J, Shah SM. Distributional and entire solutions of ordinary differential and functional differential equations. Int J Math Math Sci. 1983;6:243–270. doi: 10.1155/S0161171283000216
- Littlejohn LL, Kanwal RP. Distributional solutions of the hypergeometric differential equation. J Math Anal Appl. 1987;122:325–345. doi: 10.1016/0022-247X(87)90263-0
- Morton RD, Krall AM. Distributional weight functions for orthogonal polynomials. SIAM J Math Anal. 1978;9:604–626. doi: 10.1137/0509042
- Krall AM. Orthogonal polynomials satisfying fourth order differential equation. Proc Roy Soc Edinburgh Sect A. 1981;87:271–288. doi: 10.1017/S0308210500015213
- Littlejohn LL. On the classification of differential equations having orthogonal polynomial solutions. Ann Mat Pura Appl. 1984;138:35–53. doi: 10.1007/BF01762538
- Polyanin AD, Zaitsev VF. Handbook of exact solutions for ordinary differential equations. New York: Chapman & Hall/CRC; 2003.
- Zemanian AH. Distribution theory and transform analysis. New York: McGraw-Hill; 1965.
- Wylie CR, Barrett LC. Advanced engineering mathematics. Singapore: McGraw-Hill; 1982.
- Kananthai A. The distribution solutions of ordinary differential equation with polynomial coefficients. Southeast Asian Bull Math. 2001;25:129–134. doi: 10.1007/s10012-001-0129-7