참고문헌
- J. L. Burchnall and T. W. Chaundy, Expansions of Appell's double hypergeometric functions, Quart. J. Math. Oxford Ser. 11 (1940), 249-270.
- J. L. Burchnall and T. W. Chaundy, Expansions of Appell's double hypergeometric function. II, Quart. J. Math. Oxford Ser. 12 (1941), 112-128.
- T. W. Chaundy, Expansions of hypergeometric functions, Quart. J. Math. Oxford Ser. 13 (1942), 159-171.
-
J. Choi and A. Hasanov, Applications of the operator H(
${\alpha}$ ,${\beta}$ ) to the Humbert double hypergeometric functions, Comput. Math. Appl. 61 (2011), no. 3, 663-671. https://doi.org/10.1016/j.camwa.2010.12.012 -
J. Choi and A. Hasanov, Certain decomposition formulas of generalized hypergeometric functions
$_pF_q$ and some formulas of an analytic continuation of the Clausen function$_3F_2$ , Commun. Korean Math. Soc. 27 (2012), no. 1, 107-116. https://doi.org/10.4134/CKMS.2012.27.1.107 -
A. Hasanov and H. M. Srivastava, Some decomposition formulas associated with the Lauricella function
$F_A^{({\gamma})}$ and other multiple hypergeometric functions, Appl. Math. Lett. 19 (2006), no. 2, 113-121. https://doi.org/10.1016/j.aml.2005.03.009 - A. Hasanov and H. M. Srivastava, Decomposition formulas associated with the Lauricella multivariable hypergeometric functions, Compt. Math. Appl. 53 (2007), no. 7, 1119-1128. https://doi.org/10.1016/j.camwa.2006.07.007
- A. Hasanov, H. M. Srivastava, and M. Turaev, Decomposition formulas for some triple hypergeometric functions, J. Math. Anal. Appl. 324 (2006), no. 2, 955-969. https://doi.org/10.1016/j.jmaa.2006.01.006
-
A. Hasanov, M. Turaev, and J. Choi, Decomposition formulas for the generalized hypergeometric
$_4F_3$ function, Honam Math. J. 32 (2010), no. 1, 1-16. https://doi.org/10.5831/HMJ.2010.32.1.001 - K. Iwasaki, H. Kimura, S. Shimomura, and M. Yoshida, From Gauss to Painleve, A modern theory of special functions, Aspects of Mathematics, E16, Friedr. Vieveg & Sohn, Braunschweig, 1991.
- H. M. Srivastava and P. W. Karlsson, Multiple Gaussian Hypergeometric Series, Halsted press, Wiley, New York, 1985.
피인용 문헌
- Generalized hypergeometric function identities at argument±1 vol.25, pp.11, 2014, https://doi.org/10.1080/10652469.2014.939078