호남수학학술지 (Honam Mathematical Journal)

  • 제37권1호
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  • Pages.113-126
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  • 2015
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  • 1225-293X(pISSN)
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  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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GENERALIZATION OF EXTENDED APPELL'S AND LAURICELLA'S HYPERGEOMETRIC FUNCTIONS

  • Khan, N.U. (Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University) ;
  • Ghayasuddin, M. (Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University)
  • 투고 : 2014.12.10
  • 심사 : 2015.01.15
  • 발행 : 2015.03.25
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초록

Recently, Liu and Wang generalized Appell's and Lauricella's hypergeometric functions. Motivated by the work of Liu and Wang, the main object of this paper is to present new generalizations of Appell's and Lauricella's hypergeometric functions. Some integral representations, transformation formulae, differential formulae and recurrence relations are obtained for these new generalized Appell's and Lauricella's functions.

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참고문헌

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  8. M. A. Ozarslan and E. Ozergin, Some generating relations for extended hypergeometric functions via generalized fractional derivative operator, Math. Comput. Modelling 52(2010), 1825-1833. https://doi.org/10.1016/j.mcm.2010.07.011
  9. P. Flajolet, X. Gourdon and P. Dumas, Mellin transforms and asymptotics: harmonic sums, Theoret. Comput. Sci. 144(1-2)(1995), 3-58. https://doi.org/10.1016/0304-3975(95)00002-E
  10. R. K. Parmar, A New Generalization of Gamma, Beta, Hypergeometric and Confluent Hypergeometric Functions, LE MATEMATICHE, vol. LXVIII(2013), 33-52.

피인용 문헌

  1. A NOTE ON GENERALIZED EXTENDED WHITTAKER FUNCTION vol.38, pp.2, 2016, https://doi.org/10.5831/HMJ.2016.38.2.325