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A remarkably large number of special functions (such as the Gamma and Beta functions, the Gauss hypergeometric function, and so on) have been investigated by many authors. Motivated the works of both works of both Burchnall and Chaundy and Chaundy and very recently, Brychkov and Saad gave interesting generalizations of Appell type functions. In the present sequel to the aforementioned investigations and some of the earlier works listed in the reference, we present some new differential formulas for the generalized Appell's type functions $\kappa _{i},i=1,2,\ldots,18$ by considering the product of two $_{4}F_{3}$ functions.
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참고문헌 (24)
참고문헌 신청
E. D. Rainville / 1971 / Special Functions / Chelsea Publishing Company
G. Lauricella / 1893 / Sulle funzioni ipergeometriche a pi u variabili / Rend. Circ. Mat. Palermo 7 : 111 ~ 158
H. M. Srivastava / 1971 / Certain double integrals involving hypergeometric functions / Jnanbha Sect. A 1 (1) : 1 ~ 10
H. M. Srivastava / 1984 / A Treatise on Generating Functions / Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons
H. M. Srivastava / 1985 / Multiple Gaussian Hypergeometric Series / Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons
G. Lauricella / 1893 / Sulle funzioni ipergeometriche a pi u variabili / Rend. Circ. Mat. Palermo 7 : 111 ~ 158
H. M. Srivastava / 1971 / Certain double integrals involving hypergeometric functions / Jnanbha Sect. A 1 (1) : 1 ~ 10
H. M. Srivastava / 1984 / A Treatise on Generating Functions / Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons
H. M. Srivastava / 1985 / Multiple Gaussian Hypergeometric Series / Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons
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