Certain Integral and Differential Formulas Involving the Product of Srivastava’s Polynomials and Extended Wright Function

Saima Naheed; Shahid Mubeen; Gauhar Rahman; Zareen A. Khan; Kottakkaran Sooppy Nisar

doi:10.3390/fractalfract6020093

Certain Integral and Differential Formulas Involving the Product of Srivastava’s Polynomials and Extended Wright Function

Saima Naheed
, Shahid Mubeen
, Gauhar Rahman
, Zareen A. Khan
, Kottakkaran Sooppy Nisar

Mathematics

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

3 Scopus citations

Abstract

Many authors have established various integral and differential formulas involving different special functions in recent years. In continuation, we explore some image formulas associated with the product of Srivastava’s polynomials and extended Wright function by using Marichev–Saigo– Maeda fractional integral and differential operators, Lavoie–Trottier and Oberhettinger integral operators. The obtained outcomes are in the form of the Fox–Wright function. It is worth mentioning that some interesting special cases are also discussed.

Original language	English
Article number	93
Journal	Fractal and Fractional
Volume	6
Issue number	2
DOIs	https://doi.org/10.3390/fractalfract6020093
State	Published - Feb 2022

Keywords

Fractional calculus operators
Lavoie–Trottier integral formula
Oberhettinger integral formula
Srivastava’s polynomials
Wright function

Access to Document

10.3390/fractalfract6020093

Cite this

@article{d10e382e9c9d487d90a36acbce9ce73a,

title = "Certain Integral and Differential Formulas Involving the Product of Srivastava{\textquoteright}s Polynomials and Extended Wright Function",

abstract = "Many authors have established various integral and differential formulas involving different special functions in recent years. In continuation, we explore some image formulas associated with the product of Srivastava{\textquoteright}s polynomials and extended Wright function by using Marichev–Saigo– Maeda fractional integral and differential operators, Lavoie–Trottier and Oberhettinger integral operators. The obtained outcomes are in the form of the Fox–Wright function. It is worth mentioning that some interesting special cases are also discussed.",

keywords = "Fractional calculus operators, Lavoie–Trottier integral formula, Oberhettinger integral formula, Srivastava{\textquoteright}s polynomials, Wright function",

author = "Saima Naheed and Shahid Mubeen and Gauhar Rahman and Khan, \{Zareen A.\} and Nisar, \{Kottakkaran Sooppy\}",

note = "Publisher Copyright: {\textcopyright} 2022 by the authors. Licensee MDPI, Basel, Switzerland.",

year = "2022",

month = feb,

doi = "10.3390/fractalfract6020093",

language = "English",

volume = "6",

journal = "Fractal and Fractional",

issn = "2504-3110",

publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",

number = "2",

}

TY - JOUR

T1 - Certain Integral and Differential Formulas Involving the Product of Srivastava’s Polynomials and Extended Wright Function

AU - Naheed, Saima

AU - Mubeen, Shahid

AU - Rahman, Gauhar

AU - Khan, Zareen A.

AU - Nisar, Kottakkaran Sooppy

PY - 2022/2

Y1 - 2022/2

N2 - Many authors have established various integral and differential formulas involving different special functions in recent years. In continuation, we explore some image formulas associated with the product of Srivastava’s polynomials and extended Wright function by using Marichev–Saigo– Maeda fractional integral and differential operators, Lavoie–Trottier and Oberhettinger integral operators. The obtained outcomes are in the form of the Fox–Wright function. It is worth mentioning that some interesting special cases are also discussed.

AB - Many authors have established various integral and differential formulas involving different special functions in recent years. In continuation, we explore some image formulas associated with the product of Srivastava’s polynomials and extended Wright function by using Marichev–Saigo– Maeda fractional integral and differential operators, Lavoie–Trottier and Oberhettinger integral operators. The obtained outcomes are in the form of the Fox–Wright function. It is worth mentioning that some interesting special cases are also discussed.

KW - Fractional calculus operators

KW - Lavoie–Trottier integral formula

KW - Oberhettinger integral formula

KW - Srivastava’s polynomials

KW - Wright function

UR - https://www.scopus.com/pages/publications/85124657356

U2 - 10.3390/fractalfract6020093

DO - 10.3390/fractalfract6020093

M3 - Article

AN - SCOPUS:85124657356

SN - 2504-3110

VL - 6

JO - Fractal and Fractional

JF - Fractal and Fractional

IS - 2

M1 - 93

ER -

Certain Integral and Differential Formulas Involving the Product of Srivastava’s Polynomials and Extended Wright Function

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this