On generalization of continued fraction of Gauss
In this paper we establish a continued fraction represetation for the ratio qf two basic bilateral hypergeometric series 2ψ2's which generalize Gauss' continued fraction for the ratio of two 2F1's.
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| Format: | Article |
| Language: | English |
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Wiley
1990-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171290001016 |
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| _version_ | 1849397830814269440 |
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| author | Remy Y. Denis |
| author_facet | Remy Y. Denis |
| author_sort | Remy Y. Denis |
| collection | DOAJ |
| description | In this paper we establish a continued fraction represetation for the ratio qf two basic bilateral hypergeometric series 2ψ2's which generalize Gauss' continued fraction for the ratio of two 2F1's. |
| format | Article |
| id | doaj-art-a7d18ee14b0c4c0f80c35783469b4256 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1990-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a7d18ee14b0c4c0f80c35783469b42562025-08-20T03:38:49ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251990-01-0113474174510.1155/S0161171290001016On generalization of continued fraction of GaussRemy Y. Denis0Department of Mathematics, University of Gorakhpur, Gorakhpur 273009, IndiaIn this paper we establish a continued fraction represetation for the ratio qf two basic bilateral hypergeometric series 2ψ2's which generalize Gauss' continued fraction for the ratio of two 2F1's.http://dx.doi.org/10.1155/S0161171290001016continued fractions and hypergeometric series. |
| spellingShingle | Remy Y. Denis On generalization of continued fraction of Gauss International Journal of Mathematics and Mathematical Sciences continued fractions and hypergeometric series. |
| title | On generalization of continued fraction of Gauss |
| title_full | On generalization of continued fraction of Gauss |
| title_fullStr | On generalization of continued fraction of Gauss |
| title_full_unstemmed | On generalization of continued fraction of Gauss |
| title_short | On generalization of continued fraction of Gauss |
| title_sort | on generalization of continued fraction of gauss |
| topic | continued fractions and hypergeometric series. |
| url | http://dx.doi.org/10.1155/S0161171290001016 |
| work_keys_str_mv | AT remyydenis ongeneralizationofcontinuedfractionofgauss |