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Articles

Terminating 4F3-series extended with two integer parameters

Pages 794-805 | Received 06 May 2016, Accepted 15 Jun 2016, Published online: 04 Jul 2016

References

  • Bailey WN. Generalized hypergeometric series. Cambridge: Cambridge University Press; 1935.
  • Bailey WN. Some identities involving generalized hypergeometric series. Proc London Math Soc. 1929;29:503–516.
  • Comtet L. Advanced combinatorics. The Netherlands: Dordrecht–Holland; 1974.
  • Chu W. Elementary proofs for convolution identities of Abel and Hagen–Rothe. Electron J Combin. 2010;17, #N24.
  • Gould HW. Some generalizations of Vandermonde's convolution. Amer Math Monthly. 1956;63(2):84–91. doi: 10.2307/2306429
  • Chu W. Analytical formulae for extended 3F2-series of Watson–Whipple–Dixon with two extra integer parameters. Math Comp. 2012;81(277):467–479. doi: 10.1090/S0025-5718-2011-02512-3
  • Chu W. Binomial convolutions and hypergeometric identities. Rend. Circ. Mat. Palermo (2). 1994;XLIII:333–360, MR 96e:33010
  • Carlitz L. Summation of a special 4F3. Boll Union Mat Ital. 1963;18:90–93.
  • Whipple FJW. On well-poised series, generalized hypergeometric series having parameters in pairs, each pair with the same sum. Proc. London Math. Soc (2). 1926;24:247–263. doi: 10.1112/plms/s2-24.1.247
  • Dougall J. On Vandermonde's theorem and some more general expansions. Proc Edinb Math Soc (2). 1907;25:114–132. doi: 10.1017/S0013091500033642
  • Chu W. Inversion techniques and combinatorial identities: a unified treatment for the 7F6-series identities. Collect Math. 1994;45(1):13–43.

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