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New generating functions involving several complex variables

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Abstract

In the present paper the authors derive a number of new classes of generating functions for certain multiple sequences of functions of several complex variables. These generating-function relationships involve either Taylor or Laurent series and provide extensions of several known results given earlier by H.M. Srivastava, R.G. Buschman, and D. Zeitlin. The authors also apply their main results to obtain the corresponding generating functions for the generalized (Lauricella's) hypergeometric functions of several complex variables, which were introduced elsewhere by H.M. Srivastava and M.C. Daoust.

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Authors and Affiliations

  1. Department of Mathematics, University of Victoria, V8W 2Y2, Victoria, British Columbia, Canada

    H. M. Srivastava & R. Panda

Authors
  1. H. M. Srivastava
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  2. R. Panda
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Additional information

This work was supported in part by the National Research Council of Canada under Grant A-7353 and in part by the University of Victoria under Grant FR 08-893.

For preliminary reports on this work seeNotices Amer. Math. Soc. 21 (1974), A-593, Abstract 74T-B237;ibid. 22 (1975), A-458-459, Abstract 75T-B112;ibid. 23 (1976), A-527, Abstract 737-33-1.

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Srivastava, H.M., Panda, R. New generating functions involving several complex variables. Rend. Circ. Mat. Palermo 29, 23–41 (1980). https://doi.org/10.1007/BF02844392

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  • DOI: https://doi.org/10.1007/BF02844392

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