On the Graf's addition theorem for Hahn Exton q-Bessel function
Lazhar Dhaouadi, Ahmed Fitouhi
TL;DR
This paper investigates the positivity properties of a generalized q-translation linked to the Hahn Exton q-Bessel function, deriving a new formulation of Graf's addition formula to facilitate this analysis.
Contribution
It introduces a novel formulation of Graf's addition formula for the Hahn Exton q-Bessel function, enabling the study of its positivity properties.
Findings
Established conditions for positivity of the generalized q-translation.
Derived a new formulation of Graf's addition formula for the Hahn Exton q-Bessel function.
Enhanced understanding of the q-Bessel function's translation properties.
Abstract
In this paper we study the positivity of the generalized -translation associated with the -Bessel Hahn Exton function which is deduced by a new formulation of the Graf's addition formula related to this function.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Mathematical functions and polynomials · Advanced Mathematical Identities