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   Articles with "generalized bessel" as a keyword



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Generalized Bessel functions: Theory and their applications

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recommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"

DOI: 10.1002/mma.4463

Abstract: This paper presents 2 new classes of the Bessel functions on a compact domain [0,T] as generalized-tempered Bessel functions of the first- and second-kind which are denoted by GTBFs-1 and GTBFs-2. Two special cases corresponding… read more here.

Keywords: bessel functions; generalized bessel; theory applications; gtbfs ... See more keywords

New intregral transform with generalized Bessel–Maitland function kernel and its applications

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recommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.6837

Abstract: 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… read more here.

Keywords: bessel maitland; maitland function; generalized bessel; transform ... See more keywords

Certain Generating Matrix Relations of Generalized Bessel Matrix Polynomials from the View Point of Lie Algebra Method

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recommendations! Published in 2018 at "Bulletin of the Iranian Mathematical Society"

DOI: 10.1007/s41980-018-0067-0

Abstract: The main objective of the present paper is to derive the integral representation, matrix recurrence relations and matrix differential recurrence relations for the generalized Bessel matrix polynomials. Furthermore, we obtain a class of generating matrix… read more here.

Keywords: generalized bessel; matrix; relations generalized; matrix polynomials ... See more keywords

An Introductory Overview of Bessel Polynomials, the Generalized Bessel Polynomials and the q-Bessel Polynomials

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recommendations! Published in 2023 at "Symmetry"

DOI: 10.3390/sym15040822

Abstract: Named essentially after their close relationship with the modified Bessel function Kν(z) of the second kind, which is known also as the Macdonald function (or, with a slightly different definition, the Basset function), the so-called… read more here.

Keywords: overview bessel; polynomials generalized; bessel; introductory overview ... See more keywords

Certain Geometrical Properties and Hardy Space of Generalized k-Bessel Functions

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recommendations! Published in 2024 at "Symmetry"

DOI: 10.3390/sym16121597

Abstract: In this paper, we study certain geometric properties such as the starlikeness of order ζ and the convexity of order ζ of the generalized k-Bessel function. In addition, we establish several requirements for the parameters… read more here.

Keywords: geometrical properties; certain geometrical; bessel function; generalized bessel ... See more keywords

Integral transform of product of generalized k-Bessel function and generalized Hurwitz-Lerch Zeta function

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recommendations! Published in 2024 at "Journal of Interdisciplinary Mathematics"

DOI: 10.47974/jim-2038

Abstract: The paper presents new integral formulae involving product of generalized K-Bessel function of first kind ωγ,α k,ϱ,b,c (z) and Hurwitz-Lerch Zeta (HLZ function) function ϕρ,σ ξ,η (z, s, d) are obtained and presented in terms… read more here.

Keywords: product generalized; function; hurwitz lerch; lerch zeta ... See more keywords