2019
DOI: 10.1080/03610926.2019.1632898
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On new formulae for cumulative distribution function for McKay Bessel distribution

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Cited by 11 publications
(7 citation statements)
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“…It is observed that if υ = φ 3 and z = 0 is put in (42), the Exton's triple hypergeometric function X 8 reduces to the Horn's double hypergeometric function (10). In this sense, two extensions share a common type and their respective p-extensions, H 4,p (9) and X 8,p (41), are interrelated, as depicted in (43).…”
Section: Extended Exton's Triple Hypergeometric Functionmentioning
confidence: 99%
See 3 more Smart Citations
“…It is observed that if υ = φ 3 and z = 0 is put in (42), the Exton's triple hypergeometric function X 8 reduces to the Horn's double hypergeometric function (10). In this sense, two extensions share a common type and their respective p-extensions, H 4,p (9) and X 8,p (41), are interrelated, as depicted in (43).…”
Section: Extended Exton's Triple Hypergeometric Functionmentioning
confidence: 99%
“…This section explores certain integral representations for the extended Exton's triple hypergeometric function in (41) of Euler and Laplace types. Integral representations incorporating Bessel and modified Bessel functions are provided as corollaries.…”
Section: Integral Representationsmentioning
confidence: 99%
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“…where L ν (x) is a modified Struve function of the second kind. By using the fact that Z n follows the McKay Type II distribution (a VG distribution), other formulas for the CDF in the case ρ = 0 can be obtained from results of Jankov Maširević and Pogány [23] and Nadarajah, Srivastava and Gupta [33].…”
Section: Cumulative Distribution Functionmentioning
confidence: 99%