Simple, accurate, asymptotic estimates for the ratio of two Gamma functions
Autor: | Vito Lampret |
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Rok vydání: | 2021 |
Předmět: |
Pure mathematics
Algebra and Number Theory Basis (linear algebra) Applied Mathematics 010102 general mathematics Function (mathematics) 01 natural sciences 010101 applied mathematics Computational Mathematics Simple (abstract algebra) Geometry and Topology 0101 mathematics Gamma function Analysis Mathematics |
Zdroj: | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 115 |
ISSN: | 1579-1505 1578-7303 |
DOI: | 10.1007/s13398-020-00962-9 |
Popis: | Several new, accurate, asymptotic estimates for the ratio of two Gamma functions, $$Q_{\varGamma }(x,a,b):=\frac{\varGamma (x+a)}{\varGamma (x+b)}$$ , are obtained on the basis of Stirling’s approximation formula for the $$\varGamma $$ function. |
Databáze: | OpenAIRE |
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