Title: Generalized Hypergeometric Function -- from Wolfram MathWorld
Open Graph Title: Generalized Hypergeometric Function -- from Wolfram MathWorld
X Title: Generalized Hypergeometric Function -- from Wolfram MathWorld
Description: The generalized hypergeometric function is given by a hypergeometric series, i.e., a series for which the ratio of successive terms can be written (c_(k+1))/(c_k)=(P(k))/(Q(k))=((k+a_1)(k+a_2)...(k+a_p))/((k+b_1)(k+b_2)...(k+b_q)(k+1)). (1) (The factor of k+1 in the denominator is present for historical reasons of notation.) The resulting generalized hypergeometric function is written sum_(k=0)^(infty)c_kx^k = _pF_q[a_1,a_2,...,a_p; b_1,b_2,...,b_q;x] (2) =...
Open Graph Description: The generalized hypergeometric function is given by a hypergeometric series, i.e., a series for which the ratio of successive terms can be written (c_(k+1))/(c_k)=(P(k))/(Q(k))=((k+a_1)(k+a_2)...(k+a_p))/((k+b_1)(k+b_2)...(k+b_q)(k+1)). (1) (The factor of k+1 in the denominator is present for historical reasons of notation.) The resulting generalized hypergeometric function is written sum_(k=0)^(infty)c_kx^k = _pF_q[a_1,a_2,...,a_p; b_1,b_2,...,b_q;x] (2) =...
X Description: The generalized hypergeometric function is given by a hypergeometric series, i.e., a series for which the ratio of successive terms can be written (c_(k+1))/(c_k)=(P(k))/(Q(k))=((k+a_1)(k+a_2)...(k+a_p))/((k+b_1)(k+b_2)...(k+b_q)(k+1)). (1) (The factor of k+1 in the denominator is present for historical reasons of notation.) The resulting generalized hypergeometric function is written sum_(k=0)^(infty)c_kx^k = _pF_q[a_1,a_2,...,a_p; b_1,b_2,...,b_q;x] (2) =...
Opengraph URL: https://mathworld.wolfram.com/GeneralizedHypergeometricFunction.html
Domain: mathworld.wolfram.com
| DC.Title | Generalized Hypergeometric Function |
| DC.Creator | Weisstein, Eric W. |
| DC.Description | The generalized hypergeometric function is given by a hypergeometric series, i.e., a series for which the ratio of successive terms can be written (c_(k+1))/(c_k)=(P(k))/(Q(k))=((k+a_1)(k+a_2)...(k+a_p))/((k+b_1)(k+b_2)...(k+b_q)(k+1)). (1) (The factor of k+1 in the denominator is present for historical reasons of notation.) The resulting generalized hypergeometric function is written sum_(k=0)^(infty)c_kx^k = _pF_q[a_1,a_2,...,a_p; b_1,b_2,...,b_q;x] (2) =... |
| DC.Date.Modified | 2003-05-25 |
| DC.Subject | 33C20 |
| DC.Rights | Copyright 1999-2026 Wolfram Research, Inc. See https://mathworld.wolfram.com/about/terms.html for a full terms of use statement. |
| DC.Format | text/html |
| DC.Identifier | https://mathworld.wolfram.com/GeneralizedHypergeometricFunction.html |
| DC.Language | en |
| DC.Publisher | Wolfram Research, Inc. |
| DC.Relation.IsPartOf | https://mathworld.wolfram.com/ |
| DC.Type | Text |
| Last-Modified | 2003-05-25 |
| og:image | https://mathworld.wolfram.com/images/socialmedia/share/ogimage_GeneralizedHypergeometricFunction.png |
| og:type | website |
| twitter:card | summary_large_image |
| twitter:image:src | https://mathworld.wolfram.com/images/socialmedia/share/ogimage_GeneralizedHypergeometricFunction.png |
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