Some mathieu-type series for the I-function occuring in the fokker-planck equation
Closed form expressions are obtained for a family of convergent Mathieu type a-series and its alternating variants, whose terms contain an I-function which is a generalization of the Fox's H-function. The results derived are of general character and provide an elegant generalization for the clo...
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| Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2011
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oai:scielo:S0716-091720110001000102018-10-30Some mathieu-type series for the I-function occuring in the fokker-planck equationPogány,Tibor KSaxena,Ram KClosed form expressions are obtained for a family of convergent Mathieu type a-series and its alternating variants, whose terms contain an I-function which is a generalization of the Fox's H-function. The results derived are of general character and provide an elegant generalization for the closed form expressions of these series associated with the H-function by Pogány [9], for Fox-Wright functions by Pogány and Srivastava [10] and for pFq and Meijer's G-function by Pogány and Tomovski [13], and others.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.30 n.1 20112011-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000100010en10.4067/S0716-09172011000100010 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| description |
Closed form expressions are obtained for a family of convergent Mathieu type a-series and its alternating variants, whose terms contain an I-function which is a generalization of the Fox's H-function. The results derived are of general character and provide an elegant generalization for the closed form expressions of these series associated with the H-function by Pogány [9], for Fox-Wright functions by Pogány and Srivastava [10] and for pFq and Meijer's G-function by Pogány and Tomovski [13], and others. |
| author |
Pogány,Tibor K Saxena,Ram K |
| spellingShingle |
Pogány,Tibor K Saxena,Ram K Some mathieu-type series for the I-function occuring in the fokker-planck equation |
| author_facet |
Pogány,Tibor K Saxena,Ram K |
| author_sort |
Pogány,Tibor K |
| title |
Some mathieu-type series for the I-function occuring in the fokker-planck equation |
| title_short |
Some mathieu-type series for the I-function occuring in the fokker-planck equation |
| title_full |
Some mathieu-type series for the I-function occuring in the fokker-planck equation |
| title_fullStr |
Some mathieu-type series for the I-function occuring in the fokker-planck equation |
| title_full_unstemmed |
Some mathieu-type series for the I-function occuring in the fokker-planck equation |
| title_sort |
some mathieu-type series for the i-function occuring in the fokker-planck equation |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2011 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000100010 |
| work_keys_str_mv |
AT poganytibork somemathieutypeseriesfortheifunctionoccuringinthefokkerplanckequation AT saxenaramk somemathieutypeseriesfortheifunctionoccuringinthefokkerplanckequation |
| _version_ |
1718439774681825280 |