Complete and orthonormal sets of exponential-type orbitals with non-integer quantum numbers
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Publication:6166709
DOI10.1088/1751-8121/ace6e2zbMath1530.81147MaRDI QIDQ6166709
Publication date: 3 August 2023
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Atomic physics (81V45) Molecular physics (81V55) Orbital mechanics (70M20) Applications of fractional calculus in solid mechanics (74S40) Special bases (entangled, mutual unbiased, etc.) (81P55)
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- Some results on the extended beta and extended hypergeometric functions
- A physically based connection between fractional calculus and fractal geometry
- New properties of conformable derivative
- Numerical methods for the computation of the confluent and Gauss hypergeometric functions
- Some generating relations for extended hypergeometric functions via generalized fractional derivative operator
- On Riemann and Caputo fractional differences
- On some fractional generalizations of the Laguerre polynomials and the Kummer function
- On the local fractional derivative
- The Rodrigues formula and polynomial differential operators
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional calculus and generalized Rodrigues formula.
- Laguerre polynomials of arbitrary (fractional) orders.
- Niels Henrik Abel and the birth of fractional calculus
- Topics in quantum mechanics
- Analysis of the model of HIV-1 infection of \(CD4^+\) T-cell with a new approach of fractional derivative
- Fractional calculus operators with Appell function kernels applied to Srivastava polynomials and extended Mittag-Leffler function
- On the maximum value of a confluent hypergeometric function
- A new study on the mathematical modelling of human liver with Caputo-Fabrizio fractional derivative
- A mathematical model for COVID-19 transmission by using the Caputo fractional derivative
- A mathematical analysis of a system of Caputo-Fabrizio fractional differential equations for the anthrax disease model in animals
- SEIR epidemic model for COVID-19 transmission by Caputo derivative of fractional order
- A hybrid Caputo fractional modeling for thermostat with hybrid boundary value conditions
- Some notes on conformable fractional Sturm-Liouville problems
- Investigation of the \(p\)-Laplacian nonperiodic nonlinear boundary value problem via generalized Caputo fractional derivatives
- Why fractional derivatives with nonsingular kernels should not be used
- A new definition of fractional derivative
- The flaw in the conformable calculus: it is conformable because it is \textit{not} fractional
- The failure of certain fractional calculus operators in two physical models
- Connections between real polynomial solutions of hypergeometric-type differential equations with Rodrigues formula
- Application of Sturmian functions to the Schrödinger three-body problem: Elastic \(e^ +\)-H scattering
- Numerical Gram–Schmidt orthonormalization
- Half theory. II. The application of fractional spherical harmonics to chemical bonding
- Half theory fractional angular momentum and the application of fractional derivatives to quantum mechanics
- Hausdorff Calculus
- Convergent expansions of the incomplete gamma functions in terms of elementary functions
- Efficient and Accurate Algorithms for the Computation and Inversion of the Incomplete Gamma Function Ratios
- On the generalized Laguerre polynomials of arbitrary (fractional) orders and quantum mechanics
- The effect of fractional calculus on the formation of quantum‐mechanical operators
- On the nonlocality of the fractional Schrödinger equation
- Fractional Derivatives and Leibniz Rule
- The Factorization Method
- New Developments in Molecular Orbital Theory
- JRAF: a Julia package for computation of relativistic molecular auxiliary functions
