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Funktsional'nyi Analiz i ego Prilozheniya, 2005, Volume 39, Issue 2, Pages 87–91
DOI: https://doi.org/10.4213/faa46 (Mi faa46) 		 
This article is cited in 6 scientific papers (total in 6 papers)

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A Generalization of the Euler Gamma Function

M. Spreafico

Universidade de São Paulo
Full-text PDF (165 kB) Citations (6)
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DOI: https://doi.org/10.4213/faa46
Abstract: We define a generalized Euler gamma function $\Gamma_\beta(z)$, where the product is taken over powers of integers rather than integers themselves. Studying the associated spectral functions and in particular the zeta function, we obtain the main properties of $\Gamma_\beta(z)$ and its asymptotic expansion for large values of the argument.
Keywords: Euler gamma function, spectral function, asymptotic expansion.
Received: 23.04.2003
English version:
Functional Analysis and Its Applications, 2005, Volume 39, Issue 2, Pages 156–159
DOI: https://doi.org/10.1007/s10688-005-0031-7
Bibliographic databases:
Document Type: Article
UDC: 517.581
Language: Russian
Citation: M. Spreafico, “A Generalization of the Euler Gamma Function”, Funktsional. Anal. i Prilozhen., 39:2 (2005), 87–91; Funct. Anal. Appl., 39:2 (2005), 156–159
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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