Certain Properties of q-Hypergeometric Functions
The quotients of certain q-hypergeometric functions are presented as g-fractions which converge uniformly in the unit disc. These results lead to the existence of certain q-hypergeometric functions in the class of either q-convex functions, PCq, or q-starlike functions PSq*.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2015/489218 |
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| _version_ | 1849685129252831232 |
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| author | Uzoamaka A. Ezeafulukwe Maslina Darus |
| author_facet | Uzoamaka A. Ezeafulukwe Maslina Darus |
| author_sort | Uzoamaka A. Ezeafulukwe |
| collection | DOAJ |
| description | The quotients of certain q-hypergeometric functions are presented as g-fractions which converge uniformly in the unit disc. These results lead to the existence of certain q-hypergeometric functions in the class of either q-convex functions, PCq, or q-starlike functions PSq*. |
| format | Article |
| id | doaj-art-c2e93a967cb149c6a54a3a7cc5db4666 |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c2e93a967cb149c6a54a3a7cc5db46662025-08-20T03:23:15ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252015-01-01201510.1155/2015/489218489218Certain Properties of q-Hypergeometric FunctionsUzoamaka A. Ezeafulukwe0Maslina Darus1Mathematics Department, Faculty of Physical Sciences, University of Nigeria, Nsukka, NigeriaSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia (UKM), 43600 Bangi, Selangor Darul Ehsan, MalaysiaThe quotients of certain q-hypergeometric functions are presented as g-fractions which converge uniformly in the unit disc. These results lead to the existence of certain q-hypergeometric functions in the class of either q-convex functions, PCq, or q-starlike functions PSq*.http://dx.doi.org/10.1155/2015/489218 |
| spellingShingle | Uzoamaka A. Ezeafulukwe Maslina Darus Certain Properties of q-Hypergeometric Functions International Journal of Mathematics and Mathematical Sciences |
| title | Certain Properties of q-Hypergeometric Functions |
| title_full | Certain Properties of q-Hypergeometric Functions |
| title_fullStr | Certain Properties of q-Hypergeometric Functions |
| title_full_unstemmed | Certain Properties of q-Hypergeometric Functions |
| title_short | Certain Properties of q-Hypergeometric Functions |
| title_sort | certain properties of q hypergeometric functions |
| url | http://dx.doi.org/10.1155/2015/489218 |
| work_keys_str_mv | AT uzoamakaaezeafulukwe certainpropertiesofqhypergeometricfunctions AT maslinadarus certainpropertiesofqhypergeometricfunctions |