A remark on basis property of systems of Bessel and Mittag-Leffler type functions

DOI10.3103/S1068362315060060zbMath1339.33011OpenAlexW2299554457MaRDI QIDQ260388

B. V. Vynnyts'kyi, R. V. Khats'

Publication date: 21 March 2016

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362315060060

zbMATH Keywords

Mittag-Leffler functionentire function of exponential typebasisBessel functionbiorthogonal systemcomplete systemminimal system

Mathematics Subject Classification ID

Mittag-Leffler functions and generalizations (33E12) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Approximation by other special function classes (41A30) Special classes of entire functions of one complex variable and growth estimates (30D15) Completeness problems, closure of a system of functions of one complex variable (30B60)

Related Items (6)

Completeness conditions of systems of Bessel functions in weighted L2-spaces interms of entire functions ⋮ Properties of Laplace-Stieltjes-type integrals ⋮ Completeness of the system of generalized eigenfunctions for a Bessel-type differential operator ⋮ Unnamed Item ⋮ UNCONDITIONAL BASES OF SYSTEMS OF BESSEL FUNCTIONS ⋮ Generalized eigenvectors of linear operators and biorthogonal systems

Cites Work

• Interpolation theorems and expansions with respect to Fourier type systems
• The Mean Convergence of Fourier-Bessel Series
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