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On Applications of Weyl Fractional q-integral Operator to Generalized Basic Hypergeometric Functions

Sunil Dutt Purohit|Rajendra Kumar Yadav
경북대학교 자연과학대학 수학과|2006.06|Kyungpook Mathematical Journal|제46권 제2호|pp. 235-245

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Abstract

Applications of Weyl fractional q-integral operator to various generalized basic hypergeometric functions including the basic analogue of Fox’s H-function have been investigated in the present paper. Certain interesting special cases have also been deduced.

참고문헌 (6)

  1. "Certain fractional q-integrals and q-derivatives", 66, pp.365~370 (1969)
  2. "Some fractional q-integrals and q-derivatives", 15, pp.135~140 (1966)
  3. "Tables of integral transforms", ii (1954), Mc-Graw Hill Book Co. Inc.
  4. "On q-definite integrals", 41, pp.193~203 (1910)
  5. "Generalized hypergeometric functions with applications in statistics and physical sciences" (1973), Springer-Verlag
  6. "Recurrence relations for the basic analogue of H-function", 8, pp.48~54 (1990)

관련 논문AI추천

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