FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1540478417> ?p ?o ?g. }

• W1540478417 abstract "Asymptotic formulae for two-dimensional arrays (fr,s)r,s≥0 where the associated generating function F (z, w) := ∑ r,s≥0 fr,sz w is meromorphic are provided. Our approach is geometrical. To a big extent it generalizes and completes the asymptotic description of the coefficients fr,s along a compact set of directions specified by smooth points of the singular variety of the denominator of F (z, w). The scheme we develop can lead to a high level of complexity. However, it provides the leading asymptotic order of fr,s if some unusual and pathological behavior is ruled out. It relies on the asymptotic analysis of a certain type of stationary phase integral of the form ∫ e−s·P A(d, θ)dθ, which describes up to an exponential factor the asymptotic behavior of the coefficients fr,s along the direction d = r s in the (r, s)-lattice. The cases of interest are when either the phase term P (d, θ) or the amplitude term A(d, θ) exhibits a change of degree as d approaches a degenerate direction. These are handled by a generalized version of the stationary phase and the coalescing saddle point method which we propose as part of this dissertation. The occurrence of two special functions related to the Airy function is established when two simple saddles of the phase term coalesce. A scheme to study the asymptotic behavior of big powers of generating functions is proposed as an additional application of these generalized methods." @default.
• W1540478417 created "2016-06-24" @default.
• W1540478417 creator A5002500363 @default.
• W1540478417 date "2003-01-01" @default.
• W1540478417 modified "2023-09-26" @default.
• W1540478417 title "Asymptotic enumeration via singularity analysis" @default.
• W1540478417 cites W1488781340 @default.
• W1540478417 cites W1495395477 @default.
• W1540478417 cites W1521403221 @default.
• W1540478417 cites W1532154335 @default.
• W1540478417 cites W1584183785 @default.
• W1540478417 cites W1584610719 @default.
• W1540478417 cites W1589421353 @default.
• W1540478417 cites W1594563152 @default.
• W1540478417 cites W1697214697 @default.
• W1540478417 cites W1826269386 @default.
• W1540478417 cites W1890888469 @default.
• W1540478417 cites W1977847922 @default.
• W1540478417 cites W2018093695 @default.
• W1540478417 cites W2018919817 @default.
• W1540478417 cites W2022163931 @default.
• W1540478417 cites W2023413246 @default.
• W1540478417 cites W2026252457 @default.
• W1540478417 cites W2038132192 @default.
• W1540478417 cites W2045390532 @default.
• W1540478417 cites W2050883373 @default.
• W1540478417 cites W2075968900 @default.
• W1540478417 cites W2076498432 @default.
• W1540478417 cites W2079265093 @default.
• W1540478417 cites W2090733519 @default.
• W1540478417 cites W2094482767 @default.
• W1540478417 cites W2120649212 @default.
• W1540478417 cites W2124479173 @default.
• W1540478417 cites W2126160338 @default.
• W1540478417 cites W2145313147 @default.
• W1540478417 cites W2157395388 @default.
• W1540478417 cites W2164405908 @default.
• W1540478417 cites W2167266655 @default.
• W1540478417 cites W2169071224 @default.
• W1540478417 cites W2170217148 @default.
• W1540478417 cites W2314729141 @default.
• W1540478417 cites W2790098870 @default.
• W1540478417 cites W2914659449 @default.
• W1540478417 cites W568141700 @default.
• W1540478417 cites W58044373 @default.
• W1540478417 cites W587894314 @default.
• W1540478417 cites W634086385 @default.
• W1540478417 hasPublicationYear "2003" @default.
• W1540478417 type Work @default.
• W1540478417 sameAs 1540478417 @default.
• W1540478417 citedByCount "9" @default.
• W1540478417 countsByYear W15404784172014 @default.
• W1540478417 crossrefType "book" @default.
• W1540478417 hasAuthorship W1540478417A5002500363 @default.
• W1540478417 hasConcept C114614502 @default.
• W1540478417 hasConcept C11683690 @default.
• W1540478417 hasConcept C121332964 @default.
• W1540478417 hasConcept C134306372 @default.
• W1540478417 hasConcept C140901224 @default.
• W1540478417 hasConcept C151376022 @default.
• W1540478417 hasConcept C16171025 @default.
• W1540478417 hasConcept C202444582 @default.
• W1540478417 hasConcept C205147927 @default.
• W1540478417 hasConcept C24890656 @default.
• W1540478417 hasConcept C2524010 @default.
• W1540478417 hasConcept C2681867 @default.
• W1540478417 hasConcept C2781204021 @default.
• W1540478417 hasConcept C33923547 @default.
• W1540478417 hasConcept C62520636 @default.
• W1540478417 hasConcept C72319582 @default.
• W1540478417 hasConceptScore W1540478417C114614502 @default.
• W1540478417 hasConceptScore W1540478417C11683690 @default.
• W1540478417 hasConceptScore W1540478417C121332964 @default.
• W1540478417 hasConceptScore W1540478417C134306372 @default.
• W1540478417 hasConceptScore W1540478417C140901224 @default.
• W1540478417 hasConceptScore W1540478417C151376022 @default.
• W1540478417 hasConceptScore W1540478417C16171025 @default.
• W1540478417 hasConceptScore W1540478417C202444582 @default.
• W1540478417 hasConceptScore W1540478417C205147927 @default.
• W1540478417 hasConceptScore W1540478417C24890656 @default.
• W1540478417 hasConceptScore W1540478417C2524010 @default.
• W1540478417 hasConceptScore W1540478417C2681867 @default.
• W1540478417 hasConceptScore W1540478417C2781204021 @default.
• W1540478417 hasConceptScore W1540478417C33923547 @default.
• W1540478417 hasConceptScore W1540478417C62520636 @default.
• W1540478417 hasConceptScore W1540478417C72319582 @default.
• W1540478417 hasLocation W15404784171 @default.
• W1540478417 hasOpenAccess W1540478417 @default.
• W1540478417 hasPrimaryLocation W15404784171 @default.
• W1540478417 hasRelatedWork W1022034787 @default.
• W1540478417 hasRelatedWork W12603601 @default.
• W1540478417 hasRelatedWork W1535526514 @default.
• W1540478417 hasRelatedWork W1593296823 @default.
• W1540478417 hasRelatedWork W1599899916 @default.
• W1540478417 hasRelatedWork W185202253 @default.
• W1540478417 hasRelatedWork W2018919817 @default.
• W1540478417 hasRelatedWork W2045254279 @default.
• W1540478417 hasRelatedWork W2073954355 @default.
• W1540478417 hasRelatedWork W2079265093 @default.
• W1540478417 hasRelatedWork W2107942815 @default.

• next