Certain integral formulas associated with Aleph (ℵ)-function

Praveen Agarwal; Shilpi Jain; Erkinjon T. Karimov; Jyotindra C. Prajapati

doi:10.4134/CKMS.c150228

Certain integral formulas associated with Aleph (ℵ)-function

Praveen Agarwal
, Shilpi Jain
, Erkinjon T. Karimov
, Jyotindra C. Prajapati

International College of Engineering
Poornima College of Engineering
Academy of Sciences of the Republic of Uzbekistan
Marwadi Education Foundation Group of Institutions

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

Abstract

Recently many authors have investigated so-called Aleph (ℵ)- function and its various properties. Here, in this paper, we aim at establishing certain integral formulas involving the Aleph (ℵ)-function. Precisely, integrals with product of Aleph (ℵ)-function with Jacobi polynomials, Bessel Maitland function, general class of polynomials were under consideration. Some interesting special cases of our main result are also considered and shown to be connected with certain known ones.

Original language	English
Pages (from-to)	305-319
Number of pages	15
Journal	Communications of the Korean Mathematical Society
Volume	32
Issue number	2
DOIs	https://doi.org/10.4134/CKMS.c150228
State	Published - 2017
Externally published	Yes

Keywords

Aleph function
Bessel Maitland function
H-function
Hypergeometric function.
I-function
Jacobi polynomials
Legendre function

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10.4134/CKMS.c150228

Cite this

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title = "Certain integral formulas associated with Aleph (ℵ)-function",

abstract = "Recently many authors have investigated so-called Aleph (ℵ)- function and its various properties. Here, in this paper, we aim at establishing certain integral formulas involving the Aleph (ℵ)-function. Precisely, integrals with product of Aleph (ℵ)-function with Jacobi polynomials, Bessel Maitland function, general class of polynomials were under consideration. Some interesting special cases of our main result are also considered and shown to be connected with certain known ones.",

keywords = "Aleph function, Bessel Maitland function, H-function, Hypergeometric function., I-function, Jacobi polynomials, Legendre function",

author = "Praveen Agarwal and Shilpi Jain and Karimov, \{Erkinjon T.\} and Prajapati, \{Jyotindra C.\}",

note = "Publisher Copyright: {\textcopyright} 2017 Korean Mathematical Society.",

year = "2017",

doi = "10.4134/CKMS.c150228",

language = "English",

volume = "32",

pages = "305--319",

journal = "Communications of the Korean Mathematical Society",

issn = "1225-1763",

publisher = "Korean Mathematical Society",

number = "2",

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TY - JOUR

T1 - Certain integral formulas associated with Aleph (ℵ)-function

AU - Agarwal, Praveen

AU - Jain, Shilpi

AU - Karimov, Erkinjon T.

AU - Prajapati, Jyotindra C.

PY - 2017

Y1 - 2017

N2 - Recently many authors have investigated so-called Aleph (ℵ)- function and its various properties. Here, in this paper, we aim at establishing certain integral formulas involving the Aleph (ℵ)-function. Precisely, integrals with product of Aleph (ℵ)-function with Jacobi polynomials, Bessel Maitland function, general class of polynomials were under consideration. Some interesting special cases of our main result are also considered and shown to be connected with certain known ones.

AB - Recently many authors have investigated so-called Aleph (ℵ)- function and its various properties. Here, in this paper, we aim at establishing certain integral formulas involving the Aleph (ℵ)-function. Precisely, integrals with product of Aleph (ℵ)-function with Jacobi polynomials, Bessel Maitland function, general class of polynomials were under consideration. Some interesting special cases of our main result are also considered and shown to be connected with certain known ones.

KW - Aleph function

KW - Bessel Maitland function

KW - H-function

KW - Hypergeometric function.

KW - I-function

KW - Jacobi polynomials

KW - Legendre function

UR - https://www.scopus.com/pages/publications/85018290522

U2 - 10.4134/CKMS.c150228

DO - 10.4134/CKMS.c150228

M3 - Article

AN - SCOPUS:85018290522

SN - 1225-1763

VL - 32

SP - 305

EP - 319

JO - Communications of the Korean Mathematical Society

JF - Communications of the Korean Mathematical Society

IS - 2

ER -

Certain integral formulas associated with Aleph (ℵ)-function

Abstract

Keywords

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