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Multinomial representation of solutions of a class of singular initial value problems


Authors: L. R. Bragg and J. W. Dettman
Journal: Proc. Amer. Math. Soc. 21 (1969), 629-634
MSC: Primary 35.05
DOI: https://doi.org/10.1090/S0002-9939-1969-0240433-2
MathSciNet review: 0240433
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  • [2] -, Expansions of solutions of certain hyperbolic and elliptic problems in terms of Jacobi polynomials, Duke Math. J. (to appear). MR 0600677 (58:29099)
  • [3] E. P. Miles, Jr. and E. C. Young, Basic sets of polynomials for generalized Beltrami and Euler-Poisson-Darboux equations and their iterates, Proc. Amer. Math. Soc. 18 (1967), 981-986. MR 0218771 (36:1855)
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  • [5] R. P. Gilbert, An investigation of the analytic properties of solutions to the generalized axially symmetric reduced wave equation in $ n + 1$ variables, with an application to the theory of potential scattering, SIAM J. Appl. Math. 16 (1968), 30-50. MR 0223765 (36:6813)
  • [6] R. P. Gilbert and H. C. Howard, On solutions of the generalized bi-axially symmetric Helmholtz equation generated by integral operators, J. Reine Angew. Math. 218 (1965), 109-120. MR 0180762 (31:4992)

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DOI: https://doi.org/10.1090/S0002-9939-1969-0240433-2
Article copyright: © Copyright 1969 American Mathematical Society

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