A study of new class of integrals associated with generalized Struve function and polynomials

Sirazul Haq; Abdul Hakim Khan; Kottakkaran Sooppy Nisar

doi:10.4134/CKMS.c170490

A study of new class of integrals associated with generalized Struve function and polynomials

Sirazul Haq
, Abdul Hakim Khan
, Kottakkaran Sooppy Nisar

Mathematics

Aligarh Muslim University

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

3 Scopus citations

Abstract

The main aim of this paper is to establish a new class of integrals involving the generalized Galué-type Struve function with the different type of polynomials such as Jacobi, Legendre, and Hermite. Also, we derive the integral formula involving Legendre, Wright generalized Bessel and generalized Hypergeometric functions. The results obtained here are general in nature and can deduce many known and new integral formulas involving the various type of polynomials.

Original language	English
Pages (from-to)	169-183
Number of pages	15
Journal	Communications of the Korean Mathematical Society
Volume	34
Issue number	1
DOIs	https://doi.org/10.4134/CKMS.c170490
State	Published - 2019

Keywords

Bessel-Maitland function
Generalized Galué-type Struve function
Generalized hypergeometric function
Hermite polynomials
Jacobi polynomials

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10.4134/CKMS.c170490

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title = "A study of new class of integrals associated with generalized Struve function and polynomials",

abstract = "The main aim of this paper is to establish a new class of integrals involving the generalized Galu{\'e}-type Struve function with the different type of polynomials such as Jacobi, Legendre, and Hermite. Also, we derive the integral formula involving Legendre, Wright generalized Bessel and generalized Hypergeometric functions. The results obtained here are general in nature and can deduce many known and new integral formulas involving the various type of polynomials.",

keywords = "Bessel-Maitland function, Generalized Galu{\'e}-type Struve function, Generalized hypergeometric function, Hermite polynomials, Jacobi polynomials",

author = "Sirazul Haq and Khan, \{Abdul Hakim\} and Nisar, \{Kottakkaran Sooppy\}",

note = "Publisher Copyright: {\textcopyright} 2019 Korean Mathematical Society.",

year = "2019",

doi = "10.4134/CKMS.c170490",

language = "English",

volume = "34",

pages = "169--183",

journal = "Communications of the Korean Mathematical Society",

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TY - JOUR

T1 - A study of new class of integrals associated with generalized Struve function and polynomials

AU - Haq, Sirazul

AU - Khan, Abdul Hakim

AU - Nisar, Kottakkaran Sooppy

PY - 2019

Y1 - 2019

N2 - The main aim of this paper is to establish a new class of integrals involving the generalized Galué-type Struve function with the different type of polynomials such as Jacobi, Legendre, and Hermite. Also, we derive the integral formula involving Legendre, Wright generalized Bessel and generalized Hypergeometric functions. The results obtained here are general in nature and can deduce many known and new integral formulas involving the various type of polynomials.

AB - The main aim of this paper is to establish a new class of integrals involving the generalized Galué-type Struve function with the different type of polynomials such as Jacobi, Legendre, and Hermite. Also, we derive the integral formula involving Legendre, Wright generalized Bessel and generalized Hypergeometric functions. The results obtained here are general in nature and can deduce many known and new integral formulas involving the various type of polynomials.

KW - Bessel-Maitland function

KW - Generalized Galué-type Struve function

KW - Generalized hypergeometric function

KW - Hermite polynomials

KW - Jacobi polynomials

UR - https://www.scopus.com/pages/publications/85061608046

U2 - 10.4134/CKMS.c170490

DO - 10.4134/CKMS.c170490

M3 - Article

AN - SCOPUS:85061608046

SN - 1225-1763

VL - 34

SP - 169

EP - 183

JO - Communications of the Korean Mathematical Society

JF - Communications of the Korean Mathematical Society

IS - 1

ER -

A study of new class of integrals associated with generalized Struve function and polynomials

Abstract

Keywords

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