The special case for which the Fox H reduces to the Meijer G is Aj = Bk = C, C > 0 for j = 1...p and k = 1...q :[2]
A generalization of the Fox H-function was given by
Ram Kishore Saxena.[3][4] A further generalization of this function, useful in physics and statistics, was provided by A.M. Mathai and
Ram Kishore Saxena.[5][6]
Innayat-Hussain, AA (1987a), "New properties of hypergeometric series derivable from Feynman integrals. I: Transformation and reduction formulae", J. Phys. A: Math. Gen., 20 (13): 4109–4117,
Bibcode:
1987JPhA...20.4109I,
doi:
10.1088/0305-4470/20/13/019
Innayat-Hussain, AA (1987b), "New properties of hypergeometric series derivable from Feynman integrals. II: A generalization of the H-function", J. Phys. A: Math. Gen., 20 (13): 4119–4128,
Bibcode:
1987JPhA...20.4119I,
doi:
10.1088/0305-4470/20/13/020
Kilbas, Anatoly A. (2004), H-Transforms: Theory and Applications, CRC Press,
ISBN978-0415299169
Mathai, A. M.; Saxena, Ram Kishore (1978), The H-function with applications in statistics and other disciplines, Halsted Press [John Wiley & Sons], New York-London-Sidney,
ISBN978-0-470-26380-8,
MR0513025
The special case for which the Fox H reduces to the Meijer G is Aj = Bk = C, C > 0 for j = 1...p and k = 1...q :[2]
A generalization of the Fox H-function was given by
Ram Kishore Saxena.[3][4] A further generalization of this function, useful in physics and statistics, was provided by A.M. Mathai and
Ram Kishore Saxena.[5][6]
Innayat-Hussain, AA (1987a), "New properties of hypergeometric series derivable from Feynman integrals. I: Transformation and reduction formulae", J. Phys. A: Math. Gen., 20 (13): 4109–4117,
Bibcode:
1987JPhA...20.4109I,
doi:
10.1088/0305-4470/20/13/019
Innayat-Hussain, AA (1987b), "New properties of hypergeometric series derivable from Feynman integrals. II: A generalization of the H-function", J. Phys. A: Math. Gen., 20 (13): 4119–4128,
Bibcode:
1987JPhA...20.4119I,
doi:
10.1088/0305-4470/20/13/020
Kilbas, Anatoly A. (2004), H-Transforms: Theory and Applications, CRC Press,
ISBN978-0415299169
Mathai, A. M.; Saxena, Ram Kishore (1978), The H-function with applications in statistics and other disciplines, Halsted Press [John Wiley & Sons], New York-London-Sidney,
ISBN978-0-470-26380-8,
MR0513025