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On transformation formulas for theta hypergeometric functions

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Ukrainian Mathematical Journal Aims and scope

Using an identity and certain summation formulas for truncated theta hypergeometric series, we establish transformation formulas for finite bilateral theta hypergeometric series.

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References

  1. G. Gasper and M. Rahman, Basic Hypergeometric Series, Cambridge University Press (2004).

  2. V. P. Spiridonov, “Theta hypergeometric series,” Proc. NATO ASI Asympt. Combin. Appl. Math. Phys. (St.Petersburg, July 9–22, 2001), Kluwer, Dordrecht (2002), pp. 307–327.

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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 7, pp. 994–1000, July, 2012.

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Denis, R.Y., Singh, S.N. & Singh, S.P. On transformation formulas for theta hypergeometric functions. Ukr Math J 64, 1136–1143 (2012). https://doi.org/10.1007/s11253-012-0704-3

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  • DOI: https://doi.org/10.1007/s11253-012-0704-3

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