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

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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)

Brief communications

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

Γ_{β} (z)

$\Gamma_\beta(z)$ , 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

Γ_{β} (z)

$\Gamma_\beta(z)$ 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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https://doi.org/10.4213/faa46

https://www.mathnet.ru/eng/faa/v39/i2/p87

This publication is cited in the following 6 articles:

Albeverio S., Cacciapuoti C., Spreafico M., “Relative Partition Function of Coulomb Plus Delta Interaction”, Functional Analysis and Operator Theory For Quantum Physics: the Pavel Exner Anniversary Volume, EMS Ser. Congr. Rep., eds. Dittrich J., Kovarik H., Laptev A., Eur. Math. Soc., 2017, 1–29
Spreafico M., “Zeta Determinant for Double Sequences of Spectral Type”, Proc. Amer. Math. Soc., 140:6 (2012), 1881–1896
Spreafico M., “Zeta Determinant and Operator Determinants”, Osaka J Math, 48:1 (2011), 41–50
Spreafico M., “On the Barnes double zeta and Gamma functions”, J. Number Theory, 129:9 (2009), 2035–2063
Spreafico M., Zerbini S., “Spectral analysis and zeta determinant on the deformed spheres”, Comm. Math. Phys., 273:3 (2007), 677–704
Spreafico M., “Zeta invariants for sequences of spectral type, special functions and the Lerch formula”, Proc. Roy. Soc. Edinburgh Sect. A, 136:4 (2006), 863–887

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Functional Analysis and Its Applications

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