2024/05/23 by Mehmet Ali Özarslan, Özarslan, Mehmet Ali, İlkay Onbaşı Elidemir +1
Mathematics · #26A33 #33C50 #44A20 #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Mathematics and Applications
paper · pdf · doi:10.48550/arxiv.2405.15043
openalex publication_date 2024/05/23 · openalex created_date 2024/05/28 · openalex updated_date 2026/07/28
Recently, Özarslan and Elidemir (2023) introduced a methodology for constructing two-variable biorthogonal polynomial families with the help of one-variable biorthogonal and orthogonal polynomial families. The primary objective of the paper is to introduce novel class of two-variable biorthogonal polynomials namley bivariate Jacobi Konhauser polynomials. We investigate several fundamental properties of these polynomials including their biorthogonality property, operational formula, generating function, and integral representation. Furthermore, We inverstigate their images under the Laplace transform, fractional integral and derivative operators. Corresponding to these polynomials, we define the new type bivariate Jacobi Konhauser Mittag Leffler (JKML) function and obtain the similar properties for them.