Асимптотические оценки разностей произведений функций Бесселя на интеграл от этих функций

DOI10.14498/vsgtu1685zbMath1463.33012OpenAlexW3018690892MaRDI QIDQ3387829

K. B. Sabitov

Publication date: 14 January 2021

Published in: Вестник Самарского государственного технического университета. Серия «Физико-математические науки» (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vsgtu1685

zbMATH Keywords

modified Bessel functionsintegrals of Bessel functionsgeneralized hypergeometric functionBessel functionsasymptotic estimatesfinite binomial sum

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Cites Work

• Boundary-value problem with nonlocal integral condition for mixed-type equations with degeneracy on the transition line
• The Dirichlet problem for a hyperboli-type equation with power degeneracy in a rectangular domain
• Initial-boundary value problem for an equation of mixed parabolic-hyperbolic type in a rectangular domain
• Nonlocal initial-boundary-value problems for a degenerate hyperbolic equation
• Calculating definite integrals of products of Bessel functions
• On a nonlocal problem for a degenerating parabolic-hyperbolic equation
• Initial-boundary-value problem for inhomogeneous degenerate equations of mixed parabolic-hyperbolic type
• Inverse problem for degenerate parabolic-hyperbolic equation with nonlocal boundary condition
• Inverse problems for a mixed parabolic-hyperbolic equation with a degenerate parabolic part
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