참고문헌
- J. Choi, Notes on formal manipulations of double series, Commun. Korean Math. Soc., 18(4)(2003), 781-789. https://doi.org/10.4134/CKMS.2003.18.4.781
- J. Choi, A. Hasanov and M. Turaev, Decomposition formulas and integral representations for some Exton typergeometric functions, J. Chungcheong Math. Soc., 24(4)(2011), 745-758.
-
J. Choi, A. Hasanov and M. Turaev, Linearly independent solutions for the hypergeometric Exton functions
$X_1$ and$X_2$ , Honam Math. J., 32(2)(2010), 223-229. -
J. Choi, A. Hasanov and M. Turaev, Certain integral representations of Euler type for the Exton function
$X_5$ , Honam Math. J., 32(3)(2010), 389-397. https://doi.org/10.5831/HMJ.2010.32.3.389 -
J. Choi, A. Hasanov and M. Turaev, Certain integral representations of Euler type for the Exton function
$X_2$ , J. Korean Soc. Math. Edu. Ser. B: Pure Appl. Math., 17(4)(2010), 347-354. - H. Exton, Hypergeometric functions of three variables, J. Indian Acad. Math., 4(1982), 113-119.
- Y. S. Kim, M. A. Rakha and A. K. Rathie, Generalization of Kummer's second summation theorem with applications, Comput. Math. Math. Phys., 50(3)(2010), 387-402. https://doi.org/10.1134/S0965542510030024
-
Y. S. Kim, J. Choi and A. K. Rathie, Remark on two results by Padmanabham for Exton's triple triple hypergeometric series
$X_8$ , Honam Math. J., 27(4)(2005), 603-608. - Y. S. Kim and A. K. Rathie, On an extension formulas for the triple hypergeometric X8 due to Exton, Bull. Korean Math. Soc., 44(4)(2007), 743-751. https://doi.org/10.4134/BKMS.2007.44.4.743
-
Y. S. Kim, A. K. Rathie and J. Choi, Another method for Padmanabham's transformation formula for Exton's triple triple hypergeometric series X
$X_8$ , Commun. Korean Math. Soc., 24(4)(2009), 517-521. https://doi.org/10.4134/CKMS.2009.24.4.517 - S. W. Lee and Y. S. Kim, An extension of the triple hypergeometric series by Exton, Honam Math. J., 31(1)(2009), 61-71.
- E. D. Rainville, Special Functions, Macmillan Company, New York, 1960; Reprinted by Chelsea Publishing Company, Bronx, New York, 1971.
- H. M. Srivastava and P. W. Karlsson, Multiple Gaussian Hypergeometric Series, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisbane and Toronto, 1985.