Green's function of ordinary differential operators and an integral representation of sums of certain power series

DOI10.1134/S1064562418060236zbMath1406.34059OpenAlexW2900310443MaRDI QIDQ1709864

Peng Zhang

Publication date: 15 January 2019

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562418060236

zbMATH Keywords

Green's functionself-adjoint boundary value problemsymmetric differential expressions

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Green's functions for ordinary differential equations (34B27) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (6)

Polynomials in the differentiation operator and formulas for the sums of certain convergent series ⋮ Values of the Riemann zeta function and the Dirichlet beta function at positive integer points and multiple numerical series ⋮ Lacunary recurrent relations with gaps of length four for the Bernoulli and Euler polynomials ⋮ Spectral \(\zeta\)-functions and \(\zeta\)-regularized functional determinants for regular Sturm-Liouville operators ⋮ Representations of \(\zeta (2n + 1)\) and related numbers in the form of definite integrals and rapidly convergent series ⋮ Ordinary differential operators and the integral representation of sums of certain power series

Cites Work

• New integral representations of the polylogarithm function
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