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Interpolation
on Gauss hypergeometric functions with an application
Hina Manoj Arora and Swadesh Kumar Sahoo
Vol. 11 (2018), No. 4, 625–641
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Abstract |
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We use some standard numerical techniques to approximate the hypergeometric function for a range of parameter triples on the interval . Some of the familiar hypergeometric functional identities and asymptotic behavior of the hypergeometric function at play crucial roles in deriving the formula for such approximations. We also focus on error analysis of the numerical approximations leading to monotone properties of quotients of gamma functions in parameter triples . Finally, an application to continued fractions of Gauss is discussed followed by concluding remarks consisting of recent works on related problems. |
Keywords
interpolation, hypergeometric function, gamma function,
error estimate
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Mathematical Subject Classification 2010
Primary: 65D05
Secondary: 33B15, 33B20, 33C05, 33F05
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Milestones
Received: 21 November 2016
Revised: 7 July 2017
Accepted: 21 July 2017
Published: 15 January 2018
Communicated by Kenneth S. Berenhaut
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Authors |
| Hina Manoj Arora | |
| Discipline of Electrical
Engineering Indian Institute of Technology Indore India hina.arora@stonybrook.eduDepartment of Applied Mathematics & Statistics Stony Brook University Stony Brook, NY United States |
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| Swadesh Kumar Sahoo | |
| Discipline of Mathematics Indian Institute of Technology Indore India |
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