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- 장전수학회 Proceedings of the Jangjeon Mathematical Society Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) 제24권 제2호
- 발행연도
- 2021.4
- 수록면
- 231 - 247 (17page)
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The principal aim of this paper to study the recursion formulas for the Horns hypergeometric functions of three variables. Earlier in [Shehata, A.; and Moustafa, S.I. Some new results for Horn's hypergeometric functions Γ1 and Γ2. Journal of Mathematics and Computer Science, (2021), 23 (1), 26{35.], and Pathan et al. [Pathan, M.A.; Shehata, A.; and Moustafa, S.I. Certain new formulas for the Horns hypergeometric functions. Acta Uni- versitatis Apulensis, (2020)] have studied the new results for Horns hypergeometric functions.
Motivated by the above works here we will derive some contiguous relation for the families of Horn hypergeometric functions GA, GB, GC, GD and G C of three variables. After that we will establish the differential reclusion relations and differential operators for GA, GB, GC, GD and G* C of three variables, respectively.
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참고문헌 (37)
참고문헌 신청
Ancarani, L.U. / 2017 / Derivatives of Horn hypergeometric functions with respect to their parameters / J. Math. Phys 58(7):073504
Bezrodnykh, S.I. / 2018 / The Lauricella hypergeometric function F(N)D , the RiemannHilbert problem, and some applications / Russian Math. Surveys 73(6):941~1031
Brychkov, Yu.A. / 2017 / Reduction formulas for the Appell and Humbert functions / Integral Transforms Spec. Funct 28(1):22~38
Brychkov, Yu.A / 2012 / On some formulas for the Appell function F1(a, b, b', c, c', w, z) / Integral Transforms Spec Funct 23(11):793~802
Brychkov, Yu.A. / 2014 / On some formulas for the Appell function F2(a, b, b', c, c', w, z) / Integral Transforms Spec Funct 25(2):111~123
Bezrodnykh, S.I. / 2018 / The Lauricella hypergeometric function F(N)D , the RiemannHilbert problem, and some applications / Russian Math. Surveys 73(6):941~1031
Brychkov, Yu.A. / 2017 / Reduction formulas for the Appell and Humbert functions / Integral Transforms Spec. Funct 28(1):22~38
Brychkov, Yu.A / 2012 / On some formulas for the Appell function F1(a, b, b', c, c', w, z) / Integral Transforms Spec Funct 23(11):793~802
Brychkov, Yu.A. / 2014 / On some formulas for the Appell function F2(a, b, b', c, c', w, z) / Integral Transforms Spec Funct 25(2):111~123
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