Buschman-Erdelyi transmutations, classification and applications
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- Type
- preprint
- Published
- 2013-04-08
- Cited by
- 23
- References
- 33
- Access
- Open access
- OpenAlex
- https://openalex.org/W1593116791
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:118062603
Keywords
Mathematics, Microlocal analysis, Pure mathematics, Operator (biology), Operator theory
References
- Transmutation operators and mean-periodic functions associated with differential operators
- Задача Коши для гиперболической системы с двумя пространственными переменными
- Операторы преобразования и матричные интегральные преобразования Фурье
- Краевые задачи для уравнения Лаврентьева--Бицадзе с комплексным параметром
- О некоторых асимптотических методах в теории дифференциальных уравнений
- Transmutation theory and applications
- Generalized Translation Operators and Some of Their Applications
- Transmutation, scattering theory, and special functions
- Weighted Inequalities of Hardy Type
- Singular and degenerate Cauchy problems
- Inverse Problems in Quantum Scattering Theory
- Fractional Integrals and Derivatives: Theory and Applications
- Generalized Fractional Calculus and Applications
- Transmutations and Applications: a survey
- An Inversion Integral for a General Legendre Transformation
- Finite-dimensional perturbations of Volterra operators
- Integral transforms with the Legendre function of the first kind in the kernels on -spaces
- An Integral Equation Involving Legendre Functions
- Équations Différentielles Opérationnelles Et Problèmes Aux Limites
- Inequalities and monotonicity of ratios for generalized hypergeometric function
Cited by
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- Monotonicity of ratios of q-Kummer confluent hypergeometric and q-hypergeometric functions and associated Tur\'an types inequalities
- А COMPOSITION METHOD FOR CONSTRUCTING TRANSMUTATIONS FOR DIFFERENTIAL EQUATIONS
- On an equality for the iterated weighted spherical mean and its applications
- A short survey of recent results on Buschman-Erdelyi transmutations
- On fractional powers of the Bessel operator on a semiaxis
- INVERSION OF THE MIXED RIESZ HYPERBOLIC B-POTENTIALS
- Applications of integral transforms composition method (ITCM) to wave-type singular differential equations and index shift transmutations
- The Transmutation Method and Boundary-Value Problems for Singular Differential Equations.
- Theory of Multidimensional Delsarte–Lions Transmutation Operators. II
- On two classes of generalized fractional operators (with short historical survey of fractional calculus)
- Multi-Dimensional Integral Transforms with the Fox H -Function and the Legendre Function of the First Kind in the Kernels on L_ν,r -Spaces
- Fractional Integral and Generalized Stieltjes Transforms for Hypergeometric Functions as Transmutation Operators
- Fractional powers of Bessel operators
- Buschman–Erdélyi integral and transmutation operators
- APPLICATIONS OF THE INTEGRAL TRANSFORMS COMPOSITION METHOD TO WAVE-TYPE SINGULAR DIFFERENTIAL EQUATIONS AND INDEX SHIFT TRANSMUTATIONS
- Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics: Introduction
- One-Dimensional and Multi-Dimensional Integral Transforms of Buschman–Erdélyi Type with Legendre Functions in Kernels
- C A ] 1 7 M ay 2 01 8 APPLICATIONS OF INTEGRAL TRANSFORMS COMPOSITION METHOD TO WAVE – TYPE SINGULAR DIFFERENTIAL EQUATIONS AND INDEX SHIFT TRANSMUTATIONS
- Integral transforms composition method for transmutations