Computation of Some Properties of Polynomials Lnδ,ξ(x)

• Published in: International journal of applied and computational mathematics Vol. 7; no. 3
• Main Authors: Jatav, Vinod Kumar, Shukla, A. K.
• Format: Journal Article
• Language: English
• Published: New Delhi Springer India 2021; Springer Nature B.V
• Subjects: Applications of Mathematics; Applied mathematics; Computational mathematics; Computational Science and Engineering; Derivatives; Integral transforms; Integrals; Mathematical and Computational Physics; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Nuclear Energy; Operations Research/Decision Theory; Operators (mathematics); Original Paper; Polynomials; Theoretical; Fractional integral and derivative; 33E12; 33C45; Generating function; 44A99; function; 26A33; Pathway transform; 33C60; Generalized hypergeometric function; Beta transform
• ISSN: 2349-5103; 2199-5796
• DOI: 10.1007/s40819-021-01053-y

The principal aim of this article is to compute various properties of a general class of polynomials
L
n
δ
,
ξ
(
x
)
suggested by Prabhakar and Suman (Rocky Mt J Math 8:751–754, 1978), including generating relation, finite summation formula, integral representations, composition relations of generalized fractional integration, fractional derivative operator, and integral transforms with their several interesting special cases have been discussed.