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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2012.1
- 수록면
- 137 - 145 (9page)
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초록· 키워드
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While investigating the Lauricella's list of 14 complete second-order hypergeometric series in three variables, Srivastava noticed the existence of three additional complete triple hypergeometric series of the second order, which were denoted by HA, HB and HC. Each of these three triple hypergeometric functions HA, HB and HC has been investigated extensively in many di®erent ways including,for example, in the problem of ¯nding their integral representations of one kind or the other. Here, in this paper, we aim at presenting further integral representations for the Srivatava's triple hypergeometric function HB.
#multiple hypergeometric functions
#Gauss hypergeometric function 2F1
#confuent hypergeometric functions
#Eulerian integrals
#Laplace integrals
#Srivastava's triple hyper-geometric function HB
#Exton's functions
#Humbert functions
#Bessel functions
#beta and gamma functions
#Appell functions
#Picard's integral formula.
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참고문헌 (17)
참고문헌 신청
A. Erdelyi / 1953 / Higher Transcendental Functions. Vol. I / McGraw-Hill Book Company
A. Hasanov / 2006 / Decomposition formulas for some triple hypergeometric functions / J. Math. Anal. Appl 324 : 955 ~ 969
A. Hasanov / 2006 / Some decomposition formulas associated with the Lauricella function F(r) A and other multiple hypergeometric functions / Appl. Math. Lett 19 : 113 ~ 121
A. Hasanov / 2007 / Decomposition formulas associated with the Lauricella multivariable hypergeometric functions / Comput. Math. Appl 53 : 1119 ~ 1128
G. Lauricella / 1893 / Sulle funzioni ipergeometriche a piμu variabili / Rend. Circ. Mat. Palermo 7 : 111 ~ 158
A. Hasanov / 2006 / Decomposition formulas for some triple hypergeometric functions / J. Math. Anal. Appl 324 : 955 ~ 969
A. Hasanov / 2006 / Some decomposition formulas associated with the Lauricella function F(r) A and other multiple hypergeometric functions / Appl. Math. Lett 19 : 113 ~ 121
A. Hasanov / 2007 / Decomposition formulas associated with the Lauricella multivariable hypergeometric functions / Comput. Math. Appl 53 : 1119 ~ 1128
G. Lauricella / 1893 / Sulle funzioni ipergeometriche a piμu variabili / Rend. Circ. Mat. Palermo 7 : 111 ~ 158
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