Discrete index transforms with Bessel and modified Bessel functions
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Semyon Yakubovich
Abstract
Discrete analogues of the index transforms, involving Bessel and the modified Bessel functions, are introduced and investigated. The corresponding inversion theorems for suitable classes of functions and sequences are established.
Funding source: Fundação para a Ciência e a Tecnologia
Award Identifier / Grant number: UIDB/00144/2020
Funding statement: This work was partially supported by CMUP, which is financed by national funds through FCT (Portugal) under the project with reference UIDB/00144/2020.
References
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- Pathway fractional integral formula involving an extended Mittag–Leffler function
- Discrete index transforms with Bessel and modified Bessel functions
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Articles in the same Issue
- Frontmatter
- Continuous wavelet transform of Schwartz distributions in 𝒟′(ℝ𝑛), 𝑛 ≤ 1
- Pathway fractional integral formula involving an extended Mittag–Leffler function
- Discrete index transforms with Bessel and modified Bessel functions
- Estimates for weighted Ostrowski–Grüss type inequalities with applications
- Construction of partially degenerate Bell–Bernoulli polynomials of the first kind and their certain properties
- The Nemytskii operator in bounded (p,α)-variation space
-
On Connes amenable-like properties of dual Banach algebras based on
