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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References | Similar Articles | Additional Information

**[1]**L. R. Bragg and J. W. Dettman,*An operator calculus for related partial differential equations*, J. Math. Anal. Appl.**22**(1968), 261-271. MR**0224962 (37:561)****[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)****[4]**E. Rainville,*Special functions*, Macmillan, New York, 1960. MR**0107725 (21:6447)****[5]**R. P. Gilbert,*An investigation of the analytic properties of solutions to the generalized axially symmetric reduced wave equation in**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