Differential-difference properties of hypergeometric polynomials
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- Math. Comp. 29 (1975), 577-581 Request permission
Abstract:
We develop differential-difference properties of a class of hypergeometric polynomials which are a generalization of the Jacobi polynomials. The formulas are analogous to known formulas for the classical orthogonal polynomials.References
- Jet Wimp, Recursion formulae for hypergeometric functions, Math. Comp. 22 (1968), 363–373. MR 226065, DOI 10.1090/S0025-5718-1968-0226065-8
- G. N. Watson, A reduction formula, Proc. Glasgow Math. Assoc. 2 (1954), 57–61. MR 64917
- W. N. Bailey, Contiguous hypergeometric functions of the type $_3F_2(1)$, Proc. Glasgow Math. Assoc. 2 (1954), 62–65. MR 64918 A. ERDÉLYI, W. MAGNUS, F. OBERHETTINGER & F. G. TRICOMI, Higher Transcendental Functions. Vol. 2, McGraw-Hill, New York, 1953, Chapter X. MR 15, 419.
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Math. Comp. 29 (1975), 577-581
- MSC: Primary 33A30
- DOI: https://doi.org/10.1090/S0025-5718-1975-0440085-3
- MathSciNet review: 0440085