Open AccessCertain results of hybrid families of special polynomials associated with appell sequences
Author(s) -
Ghazala Yasmin,
Abdulghani Muhyi
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1912833y
Subject(s) - legendre polynomials , mathematics , hermite polynomials , orthogonal polynomials , classical orthogonal polynomials , bernoulli polynomials , difference polynomials , pure mathematics , type (biology) , algebra over a field , mathematical analysis , ecology , biology
In this article, the Legendre-Gould-Hopper polynomials are combined with Appell sequences to introduce certain mixed type special polynomials by using operational method. The generating functions, determinant definitions and certain other properties of Legendre-Gould-Hopper based Appell polynomials are derived. Operational rules providing connections between these formulae and known special polynomials are established. The 2-variable Hermite Kamp? de F?riet based Bernoulli polynomials are considered as an member of Legendre-Gould-Hopper based Appell family and certain results for this member are also obtained.