{"paper":{"title":"Exponential Riordan arrays and generalized Narayana polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"E. Burlachenko","submitted_at":"2018-03-06T01:14:18Z","abstract_excerpt":"Generalized Euler polynomials ${{\\alpha }_{n}}\\left( x \\right)={{\\left( 1-x \\right)}^{n+1}}\\sum\\nolimits_{m=0}^{\\infty }{{{p}_{n}}}\\left( m \\right){{x}^{m}}$, where ${{p}_{n}}\\left( x \\right)$ is the polynomial of degree $n$, are the numerator polynomials of the generating functions of diagonals of the ordinary Riordan arrays. Generalized Narayana polynomials ${{\\varphi }_{n}}\\left( x \\right)={{\\left( 1-x \\right)}^{2n+1}}\\sum\\nolimits_{m=0}^{\\infty }{\\left( m+1 \\right)...\\left( m+n \\right){{p}_{n}}}\\left( m \\right){{x}^{m}}$ are the numerator polynomials of the generating functions of diagonal"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.01975","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}