IJAM: Volume 37, No. 5 (2024)

DOI: 10.12732/ijam.v37i5.2

GENERALIZED POISSON SEMIGROUP ASSOCIATED

TO THE BESSEL OPERATOR AND APPLICATIONS

Adam Zakria 1,§, Mohamed Vall Ould Moustapha 2,

Ibrahim-Elkhalil Ahmed 3, Husam Elfadil Mohammed 4

1,3,4 Department of Mathematics, College of Science

Jouf University, Sakaka 2014, SAUDI ARABIA

2 Faculte des Sciences et Techniques

Universitґe de Nouakchott Al-Aasriya, Nouakchott-Mauritanie

1 Faculty of Science, Department of Mathematics

University of Kordofan, El-Obeid, SUDAN

3,4 Shendi University, Faculty of Sciences and Technology

Departement of Mathematics, Shendi SUDAN

Abstract. In this manuscript we give explicit formulas for the generalized Poisson

semigroups associated to the operator of Bessel type

L^{\alpha} = x^2 {\frac {\partial^2}{\partial x^2}} + x {\frac {\partial}{\partial x}} – a^2x^2 .

As applications of our results we give explicit formulas for the generalized Poisson semigroup with Morse potential and on the real hyperbolic space Hn.

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How to cite this paper?
DOI: 10.12732/ijam.v37i5.2
Source: International Journal of Applied Mathematics
ISSN printed version: 1311-1728
ISSN on-line version: 1314-8060
Year: 2024
Volume: 37
Issue: 5

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