On hypergeometric functions and Pochhammer k-symbol

Rafael Díaz; Eddy Pariguan

On hypergeometric functions and Pochhammer k-symbol

Rafael Díaz, Eddy Pariguan

Universidad Central de Venezuela

Producción: Contribución a una revista › Artículo › revisión exhaustiva

446 Citas (Scopus)

Resumen

We introduce the k-generalized gamma function Γ_k, beta function B_k and Pochhammer k-symbol (x)_n,k- We prove several identities generalizing those satisfied by the classical gamma function, beta function and Pochhammer symbol. We provide integral representation for the Γ_k and B_k functions.

Idioma original	Inglés
Páginas (desde-hasta)	179-192
Número de páginas	14
Publicación	Divulgaciones Matematicas
Volumen	15
N.º	2
Estado	Publicada - 2007
Publicado de forma externa	Sí

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title = "On hypergeometric functions and Pochhammer k-symbol",

abstract = "We introduce the k-generalized gamma function Γk, beta function Bk and Pochhammer k-symbol (x)n,k- We prove several identities generalizing those satisfied by the classical gamma function, beta function and Pochhammer symbol. We provide integral representation for the Γk and Bk functions.",

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author = "Rafael D{\'i}az and Eddy Pariguan",

year = "2007",

language = "English",

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journal = "Divulgaciones Matematicas",

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T1 - On hypergeometric functions and Pochhammer k-symbol

AU - Díaz, Rafael

AU - Pariguan, Eddy

PY - 2007

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N2 - We introduce the k-generalized gamma function Γk, beta function Bk and Pochhammer k-symbol (x)n,k- We prove several identities generalizing those satisfied by the classical gamma function, beta function and Pochhammer symbol. We provide integral representation for the Γk and Bk functions.

AB - We introduce the k-generalized gamma function Γk, beta function Bk and Pochhammer k-symbol (x)n,k- We prove several identities generalizing those satisfied by the classical gamma function, beta function and Pochhammer symbol. We provide integral representation for the Γk and Bk functions.

KW - Beta function

KW - Gamma function

KW - Hypergeometric functions

KW - Pochhammer symbol

UR - https://www.scopus.com/pages/publications/40849147456

M3 - Article

AN - SCOPUS:40849147456

SN - 1315-2068

VL - 15

SP - 179

EP - 192

JO - Divulgaciones Matematicas

JF - Divulgaciones Matematicas

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ER -

On hypergeometric functions and Pochhammer k-symbol

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