Certain image formulas of generalized hypergeometric functions

Praveen Agarwal; Mehar Chand; Erkinjon Tulkinovich Karimov

doi:10.1016/j.amc.2015.05.101

Certain image formulas of generalized hypergeometric functions

Praveen Agarwal
, Mehar Chand
, Erkinjon Tulkinovich Karimov

International College of Engineering
Fateh College for Women
National University of Uzbekistan named after Mirzo Ulugbek

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

2 Scopus citations

Abstract

We aim at establishing certain new image formulas of generalized hypergeometric functions by applying the operators of fractional derivative involving Appell's function F₃(.) due to Saigo-Maeda. Furthermore, by employing some integral transforms on the resulting formulas, we presented some more image formulas. All the results derived here are of general character and can yield a number of (known and new) results in the theory of special functions.

Original language	English
Article number	21222
Pages (from-to)	763-772
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	266
DOIs	https://doi.org/10.1016/j.amc.2015.05.101
State	Published - 22 Jun 2015
Externally published	Yes

Keywords

Beta function
Fractional derivative operators
Generalized Gauss hypergeometric function
Generalized beta function
Generalized confluent hypergeometric function
Integral transforms

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10.1016/j.amc.2015.05.101

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title = "Certain image formulas of generalized hypergeometric functions",

abstract = "We aim at establishing certain new image formulas of generalized hypergeometric functions by applying the operators of fractional derivative involving Appell's function F3(.) due to Saigo-Maeda. Furthermore, by employing some integral transforms on the resulting formulas, we presented some more image formulas. All the results derived here are of general character and can yield a number of (known and new) results in the theory of special functions.",

keywords = "Beta function, Fractional derivative operators, Generalized Gauss hypergeometric function, Generalized beta function, Generalized confluent hypergeometric function, Integral transforms",

author = "Praveen Agarwal and Mehar Chand and Karimov, \{Erkinjon Tulkinovich\}",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Inc.",

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doi = "10.1016/j.amc.2015.05.101",

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AU - Agarwal, Praveen

AU - Chand, Mehar

AU - Karimov, Erkinjon Tulkinovich

PY - 2015/6/22

Y1 - 2015/6/22

N2 - We aim at establishing certain new image formulas of generalized hypergeometric functions by applying the operators of fractional derivative involving Appell's function F3(.) due to Saigo-Maeda. Furthermore, by employing some integral transforms on the resulting formulas, we presented some more image formulas. All the results derived here are of general character and can yield a number of (known and new) results in the theory of special functions.

AB - We aim at establishing certain new image formulas of generalized hypergeometric functions by applying the operators of fractional derivative involving Appell's function F3(.) due to Saigo-Maeda. Furthermore, by employing some integral transforms on the resulting formulas, we presented some more image formulas. All the results derived here are of general character and can yield a number of (known and new) results in the theory of special functions.

KW - Beta function

KW - Fractional derivative operators

KW - Generalized Gauss hypergeometric function

KW - Generalized beta function

KW - Generalized confluent hypergeometric function

KW - Integral transforms

UR - https://www.scopus.com/pages/publications/84934935195

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DO - 10.1016/j.amc.2015.05.101

M3 - Article

AN - SCOPUS:84934935195

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VL - 266

SP - 763

EP - 772

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

M1 - 21222

ER -

Certain image formulas of generalized hypergeometric functions

Abstract

Keywords

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