Premium
New intregral transform with generalized Bessel–Maitland function kernel and its applications
Author(s) -
Albayrak Durmuş,
Dernek Ahmet,
Dernek Neşe,
Uçar Faruk
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6837
Subject(s) - bessel function , mathematics , laplace transform , kernel (algebra) , hankel transform , cylindrical harmonics , two sided laplace transform , bessel process , mathematical analysis , integral transform , struve function , bessel polynomials , pure mathematics , fourier transform , fractional fourier transform , orthogonal polynomials , jacobi polynomials , fourier analysis , gegenbauer polynomials , classical orthogonal polynomials , macdonald polynomials
In this paper, authors introduce the generalized Bessel–Maitland transform whose kernel is the generalized Bessel–Maitland function. New identities are obtained for special cases of the generalized Bessel–Maitland function. Using these relations, several identities are obtained for generalized Bessel–Maitland integral transform. It is shown that some special cases of them are related with the Laplace transform and the Hankel transform. Also, some examples are given as representations of the outcomes presented here.