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Meromorphic continuations of multiple q -hypergeometric functions

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Meromorphic continuations of multiple q -hypergeometric functions

Abstract

Meromorphic continuations of multiple q -hypergeometric functions

참고문헌 (12)

  1. P. Appell, "Fonctions hypergéométriques et hypersphériques" (1926)
  2. T. Ernst, "A comprehensive treatment of q-calculus" (2012), Birkhauser
  3. T. Ernst, "On the q-analogues of Srivastava's triple hypergeometric functions", Axioms, 2(2), pp.85~99 (2013)
  4. T. Ernst, "A new q-hypergeometric symbolic calculus in the spirit of Horn, Borngasser, Debiard and Gaveau", Axioms, 11(2) (2022)
  5. T. Ernst, "A new semantics for special functions", ~
  6. 1976, , pp.Mathematics and its Applications, ~
  7. G. Gasper, "Basic hypergeometric series" (1990)
  8. Hj. Mellin, "Uber den Zusammenhang zwischen den linearen Differential- und Differenzengleichungen", Acta Math, 25, pp.139~164 (1902)
  9. K. Mimachi, "Connection problem in holonomic q-difference system associated with a Jackson integral of Jordan-Pochhammer type", Nagoya Math. J, 116, pp.149~161 (1989)
  10. H.M. Srivastava, "A note on certain hypergeometric differential equations", Mat. Vesn, 9(24), pp.101~107 (1972)
  11. H.M. Srivastava, "Multiple Gaussian Hypergeometric Series" (1985), Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons
  12. G.N. Watson, "The continuations of functions de ned by generalised hypergeometric series (x)", Cambr. Phil. Soc. Trans, 21, pp.281~299 (1910)

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