Srivastava, H. M.; Pathan, M. A.; Bin-Saad, M. G. A certain class of generating functions involving bilateral series. (English) Zbl 1052.33005 ANZIAM J. 44, No. 3, 475-483 (2003). Summary: The authors derive a general theorem on partly bilateral and partly unilateral generating functions involving multiple series with essentially arbitrary coefficients. By appropriately specialising these functions, a number of (known or new) results are shown to follow as applications of the theorem. Cited in 6 Documents MSC: 33C20 Generalized hypergeometric series, \({}_pF_q\) PDF BibTeX XML Cite \textit{H. M. Srivastava} et al., ANZIAM J. 44, No. 3, 475--483 (2003; Zbl 1052.33005) Full Text: DOI OpenURL References: [1] Srivastava, A treatise on generating functions (1984) · Zbl 0535.33001 [2] Srivastava, Comm. Appl. Anal. 2 pp 49– (1998) [3] DOI: 10.1002/mana.19720530114 · Zbl 0221.33003 [4] Pathan, J. Math. Phys. Sci. 22 pp 1– (1988) [5] Srivastava, Nederl. Akad. Wetensch. Proc. Ser. A 72 = Indag. Math. 31 pp 449– (1969) [6] Pathan, J. Austral. Math. Soc. Ser. B 28 pp 240– (1986) [7] Kamarujjama, Soochow J. Math. 23 pp 359– (1997) [8] DOI: 10.1016/0022-247X(90)90069-R · Zbl 0692.33007 [9] DOI: 10.1016/0022-247X(92)90147-6 · Zbl 0741.33007 [10] Gupta, ANZIAM J. 44 pp 299– (2002) [11] Goyal, Ganita Sandesh 11 pp 99– (1997) [12] Exton, Jñãnãbha 13 pp 147– (1983) [13] Exton, Jñãnãbha Sect. A 3 pp 23– (1973) [14] Szegö, Orthogonal polynomials (1975) [15] Srivastava, Multiple Gaussian hypergeometric series (1985) · Zbl 0552.33001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.