Extension of Euler's beta function

M. Aslam Chaudhry; Asghar Qadir; M. Rafique; S. M. Zubair

doi:10.1016/S0377-0427(96)00102-1

Extension of Euler's beta function

M. Aslam Chaudhry^*, Asghar Qadir, M. Rafique, S. M. Zubair

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

255 Scopus citations

Abstract

An extension of Euler's beta function, analogous to the recent generalization of Euler's gamma function and Riemann's zeta function, for which the usual properties and representation are naturally and simply extended, is introduced. It is proved that the extension is connected to the Macdonald, error and Whittaker functions. In addition, the extended beta distribution is introduced.

Original language	English
Pages (from-to)	19-32
Number of pages	14
Journal	Journal of Computational and Applied Mathematics
Volume	78
Issue number	1
DOIs	https://doi.org/10.1016/S0377-0427(96)00102-1
State	Published - 3 Feb 1997

Bibliographical note

Funding Information:
The authors are indebted to King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia for excellent research facilities. Also MAC and SMZ acknowledge the support provided by the University through the research project MS/GAMMA/171.

Keywords

Beta distribution
Euler's beta function
Euler's gamma function
Generalized gamma function

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/S0377-0427(96)00102-1

Cite this

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title = "Extension of Euler's beta function",

abstract = "An extension of Euler's beta function, analogous to the recent generalization of Euler's gamma function and Riemann's zeta function, for which the usual properties and representation are naturally and simply extended, is introduced. It is proved that the extension is connected to the Macdonald, error and Whittaker functions. In addition, the extended beta distribution is introduced.",

keywords = "Beta distribution, Euler's beta function, Euler's gamma function, Generalized gamma function",

author = "\{Aslam Chaudhry\}, M. and Asghar Qadir and M. Rafique and Zubair, \{S. M.\}",

note = "Funding Information: The authors are indebted to King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia for excellent research facilities. Also MAC and SMZ acknowledge the support provided by the University through the research project MS/GAMMA/171.",

year = "1997",

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doi = "10.1016/S0377-0427(96)00102-1",

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AU - Aslam Chaudhry, M.

AU - Qadir, Asghar

AU - Rafique, M.

AU - Zubair, S. M.

N1 - Funding Information: The authors are indebted to King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia for excellent research facilities. Also MAC and SMZ acknowledge the support provided by the University through the research project MS/GAMMA/171.

PY - 1997/2/3

Y1 - 1997/2/3

N2 - An extension of Euler's beta function, analogous to the recent generalization of Euler's gamma function and Riemann's zeta function, for which the usual properties and representation are naturally and simply extended, is introduced. It is proved that the extension is connected to the Macdonald, error and Whittaker functions. In addition, the extended beta distribution is introduced.

AB - An extension of Euler's beta function, analogous to the recent generalization of Euler's gamma function and Riemann's zeta function, for which the usual properties and representation are naturally and simply extended, is introduced. It is proved that the extension is connected to the Macdonald, error and Whittaker functions. In addition, the extended beta distribution is introduced.

KW - Beta distribution

KW - Euler's beta function

KW - Euler's gamma function

KW - Generalized gamma function

UR - https://www.scopus.com/pages/publications/0031550475

U2 - 10.1016/S0377-0427(96)00102-1

DO - 10.1016/S0377-0427(96)00102-1

M3 - Article

AN - SCOPUS:0031550475

SN - 0377-0427

VL - 78

SP - 19

EP - 32

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 1

ER -

Extension of Euler's beta function

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this