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Differential-difference properties of hypergeometric polynomials. (English) Zbl 0304.33003


MSC:

33C05 Classical hypergeometric functions, \({}_2F_1\)
33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
39B05 General theory of functional equations and inequalities
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[1] Jet Wimp, Recursion formulae for hypergeometric functions, Math. Comp. 22 (1968), 363 – 373. · Zbl 0186.10401
[2] G. N. Watson, A reduction formula, Proc. Glasgow Math. Assoc. 2 (1954), 57 – 61. · Zbl 0056.06701
[3] W. N. Bailey, Contiguous hypergeometric functions of the type \(_{3}\)\?\(_{2}\)(1), Proc. Glasgow Math. Assoc. 2 (1954), 62 – 65. · Zbl 0056.06702
[4] A. ERDÉLYI, W. MAGNUS, F. OBERHETTINGER & F. G. TRICOMI, Higher Transcendental Functions. Vol. 2, McGraw-Hill, New York, 1953, Chapter X. MR 15, 419. · Zbl 0051.30303
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