Reduced-quaternionic Mathieu functions, time-dependent Moisil-Teodorescu operators, and the imaginary-time wave equation
From MaRDI portal
Publication:2096336
DOI10.1016/j.amc.2022.127588OpenAlexW3203777168MaRDI QIDQ2096336
João Pedro Morais, R. Michael Porter
Publication date: 16 November 2022
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.14674
Bessel functionsquaternionic analysisMathieu functionselliptical coordinatesquaternionic functionsimaginary-time wave equationMoisil-Teodorescu operators
Hypergeometric functions (33Cxx) Other special functions (33Exx) Generalized function theory (30Gxx)
Related Items (1)
Cites Work
- Computational aspects of the continuum quaternionic wave functions for hydrogen
- Laguerre derivative and monogenic Laguerre polynomials: an operational approach
- Hypercomplex factorization of the Helmholtz equation
- Gelfand-Tsetlin bases for spherical monogenics in dimension 3
- Complete orthonormal sets of polynomial solutions of the Riesz and Moisil-Teodorescu systems in \(\mathbb R^{3}\)
- On homogeneous polynomial solutions of the Moisil-Théodoresco system in \(\mathbb R^{3}\)
- Computational geometric and boundary value properties of oblate spheroidal quaternionic wave functions
- A right inverse operator for \(\operatorname{curl}+\lambda \) and applications
- On a version of quaternionic function theory related to Chebyshev polynomials and modified Sturm-Liouville operators
- Towards a quaternionic function theory linked with the Lamé's wave functions
- Application of Holomorphic Functions in Two and Higher Dimensions
- Classical Covariant Fields
- On some constructive aspects of monogenic function theory in ℝ4
- On derivatives of spherical monogenics
- Basic sets of pofynomials in clifford analysis
- Computation of the value of the even and odd Mathieu functions of order N for a given parameter S and an argument X [Computer program description]
- A new method to compute Mathieu functions
- A Complete Method for the Computations of Mathieu Characteristic Numbers of Integer Orders
- On a generalized Appell system and monogenic power series
- On quaternionic analysis for the Schrödinger operator with a particular potential and its relation with the Mathieu functions
- On homogeneous polynomial solutions of the Riesz system and their harmonic potentials
- On monogenic primitives of monogenic functions
- Quaternionic spherical wave functions
- An Analytical Solution of the Inverted Pendulum
- Vibrational problems in elliptical coordinates
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Reduced-quaternionic Mathieu functions, time-dependent Moisil-Teodorescu operators, and the imaginary-time wave equation