FINITE INTEGRALS ASSOCIATED WITH THE PRODUCT OF ORTHOGONAL POLYNOMIALS AND WRIGHT FUNCTION

被引:0
|
作者
Khan, Nabiullah [1 ]
Khan, Mohammad Iqbal [1 ]
Khan, Owais [2 ]
机构
[1] Aligarh Muslim Univ, Dept Appl Math, Aligarh 202002, Uttar Pradesh, India
[2] Integral Univ, Dept Math, Lucknow 226026, Uttar Pradesh, India
来源
HONAM MATHEMATICAL JOURNAL | 2021年 / 43卷 / 04期
关键词
generalized Wright function; generalized hypergeometric function; Prudnikov integral; orthogonal polynomials; JACOBI;
D O I
10.5831/HMJ.2021.43.4.597
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Several useful and interesting extensions of the various special functions have been introduced by many authors during the last few decades. Various integral formulas associated with Wright function have been studied and a noteworthy amount of work have found in literature. The principal object of the present paper is to evaluate finite integral formulas containing the product of orthogonal polynomials with generalized Wright function. These integral formulas are expressed in terms of Srivastava and Daoust function. Some interesting particular cases are obtained from the main results by specialising the suitable values of the parameters involved.
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页码:597 / 612
页数:16
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