GENERALIZATION OF BATEMAN POLYNOMIALS

被引:5
作者
Ali, Asad [1 ]
Iqbal, Muhammad Zafar [1 ]
Anwer, Bilal [1 ]
Mehmood, Ather [1 ]
机构
[1] Univ Agr Faisalabad, Dept Math & Stat, Faisalabad, Pakistan
来源
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2019年 / 17卷 / 05期
关键词
Bateman polynomials; generating functions; recurrence relations; LAGUERRE;
D O I
10.28924/2291-8639-17-2019-803
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, generalize the Bateman polynomials in terms of generalized hypergeometric function of the type F-p(p). Establish different forms of extended polynomials such as series expansion, generating functions and recurrence relations.
引用
收藏
页码:803 / 808
页数:6
相关论文
共 11 条
[1]  
Alam S., 2007, REV REAL ACAD CIENCI, V62, P91
[2]  
Andrews George E., 1999, ENCY MATH ITS APPL, V71
[3]  
Andrews GeorgeE., 2004, SPECIAL FUNCTIONS, V1re
[4]   A limit relationship between Laguerre and Hermite polynomials [J].
Chen, KY ;
Srivastava, HM .
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2005, 16 (01) :75-80
[5]  
Diaz R., 2007, Divulg. Mat, V2, P179
[6]   Explicit formulae for the coefficients of integrated expansions of Laguerre and Hermite polynomials and their integrals [J].
Doha, E. H. ;
Ahmed, H. M. ;
El-Soubhy, S. I. .
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2009, 20 (07) :491-503
[7]   On some generalized Sister Celine's polynomials [J].
Khan, MA ;
Shukla, AK .
CZECHOSLOVAK MATHEMATICAL JOURNAL, 1999, 49 (03) :527-545
[8]   Equioscillatory property of the Laguerre polynomials [J].
Krasikov, Ilia ;
Zarkh, Alexander .
JOURNAL OF APPROXIMATION THEORY, 2010, 162 (11) :2021-2047
[9]  
Rainville E. D., 1960, Special Functions
[10]  
Srivastava H. M., 1985, MULTIPLE GAUSSIAN HY