A New Class of Integral Relations Involving General Class of Polynomials and I-Functions

A New Class of Integral Relations Involving General Class of Polynomials and I-Functions

The aim of the present paper is to evaluate new integral relations involving a general class of polynomials and I-functions. The values of the relations are obtained in terms of the Psi functions y (z) (the logarithmic derivative of Γ(z)). These integral relations are unified in nature and act as a...

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Main Authors: Shilpi JAIN, Praveen AGARWAL
Format: Article
Language:English
Published: Walailak University 2014-10-01
Series:Walailak Journal of Science and Technology
Subjects:
I-function
general class of polynomials
Psi (or digamma) functions
Online Access:http://wjst.wu.ac.th/index.php/wjst/article/view/692
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spelling doaj-36d310da16e04a3bb7f483e262ab6e132020-11-25T03:00:35ZengWalailak UniversityWalailak Journal of Science and Technology1686-39332228-835X2014-10-01121110.14456/vol12iss9pp510A New Class of Integral Relations Involving General Class of Polynomials and I-FunctionsShilpi JAIN0Praveen AGARWAL1Department of Mathematics, Poornima College of Engineering, Jaipur 302002Department of Mathematics, Anand Intenational College of Engineering, Jaipur 303012 The aim of the present paper is to evaluate new integral relations involving a general class of polynomials and I-functions. The values of the relations are obtained in terms of the Psi functions y (z) (the logarithmic derivative of Γ(z)). These integral relations are unified in nature and act as a key formula from which we can obtain their special cases. For the sake of illustration, we record here some special cases of our main formulas which are also new and known. The formulas established here are basic in nature and are likely to find useful applications in the field of science and engineering. doi:10.14456/WJST.2015.38 http://wjst.wu.ac.th/index.php/wjst/article/view/692I-functiongeneral class of polynomialsPsi (or digamma) functions
collection DOAJ
language English
format Article
sources DOAJ
author Shilpi JAIN
Praveen AGARWAL
spellingShingle Shilpi JAIN
Praveen AGARWAL
A New Class of Integral Relations Involving General Class of Polynomials and I-Functions
Walailak Journal of Science and Technology
I-function
general class of polynomials
Psi (or digamma) functions
author_facet Shilpi JAIN
Praveen AGARWAL
author_sort Shilpi JAIN
title A New Class of Integral Relations Involving General Class of Polynomials and I-Functions
title_short A New Class of Integral Relations Involving General Class of Polynomials and I-Functions
title_full A New Class of Integral Relations Involving General Class of Polynomials and I-Functions
title_fullStr A New Class of Integral Relations Involving General Class of Polynomials and I-Functions
title_full_unstemmed A New Class of Integral Relations Involving General Class of Polynomials and I-Functions
title_sort new class of integral relations involving general class of polynomials and i-functions
publisher Walailak University
series Walailak Journal of Science and Technology
issn 1686-3933
2228-835X
publishDate 2014-10-01
description The aim of the present paper is to evaluate new integral relations involving a general class of polynomials and I-functions. The values of the relations are obtained in terms of the Psi functions y (z) (the logarithmic derivative of Γ(z)). These integral relations are unified in nature and act as a key formula from which we can obtain their special cases. For the sake of illustration, we record here some special cases of our main formulas which are also new and known. The formulas established here are basic in nature and are likely to find useful applications in the field of science and engineering. doi:10.14456/WJST.2015.38
topic I-function
general class of polynomials
Psi (or digamma) functions
url http://wjst.wu.ac.th/index.php/wjst/article/view/692
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AT praveenagarwal anewclassofintegralrelationsinvolvinggeneralclassofpolynomialsandifunctions
AT shilpijain newclassofintegralrelationsinvolvinggeneralclassofpolynomialsandifunctions
AT praveenagarwal newclassofintegralrelationsinvolvinggeneralclassofpolynomialsandifunctions
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