Enumerating path diagrams in connection with $q$-tangent and $q$-secant numbers
We enumerate height-restricted path diagrams associated with $q$-tangent and $q$-secant numbers by considering convergents of continued fractions, leading to expressions involving basic hypergeometric functions. Our work generalises some results by M. Josuat-Verg\'es for unrestricted path diagr...
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| creator | Khalid, Anum Prellberg, Thomas |
| description | We enumerate height-restricted path diagrams associated with $q$-tangent and
$q$-secant numbers by considering convergents of continued fractions, leading
to expressions involving basic hypergeometric functions. Our work generalises
some results by M. Josuat-Verg\'es for unrestricted path diagrams [European
Journal of Combinatorics 31 (2010) 1892]. |
| doi_str_mv | 10.48550/arxiv.1907.04172 |
| format | Article |
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$q$-secant numbers by considering convergents of continued fractions, leading
to expressions involving basic hypergeometric functions. Our work generalises
some results by M. Josuat-Verg\'es for unrestricted path diagrams [European
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$q$-secant numbers by considering convergents of continued fractions, leading
to expressions involving basic hypergeometric functions. Our work generalises
some results by M. Josuat-Verg\'es for unrestricted path diagrams [European
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$q$-secant numbers by considering convergents of continued fractions, leading
to expressions involving basic hypergeometric functions. Our work generalises
some results by M. Josuat-Verg\'es for unrestricted path diagrams [European
Journal of Combinatorics 31 (2010) 1892].</abstract><doi>10.48550/arxiv.1907.04172</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Combinatorics |
| title | Enumerating path diagrams in connection with $q$-tangent and $q$-secant numbers |
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