Zobrazeno 1 - 10 of 21 pro vyhledávání: '"Do Tan Si"'
5
Lucas Symbolic Formulae and Generating Functions for Chebyshev Polynomials
Autor: Do Tan Si
Publikováno v: Journal of High Energy Physics, Gravitation and Cosmology. :914-924
This work shows that each kind of Chebyshev polynomials may be calculated from a symbolic formula similar to the Lucas formula for Bernoulli polynomials. It exposes also a new approach for obtaining generating functions of them by operator calculus b
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7b2d1653b474721595cd72d380a3c43c
https://doi.org/10.4236/jhepgc.2021.73052
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7
Principles of Quantum Mechanics and Laws of Wave Optics from One Mathematical Formula
Autor: Do Tan Si
Publikováno v: Applied Mathematics. 10:892-906
Finding that in the formula of expansion of a function into a series of wave-like functions the coefficients are its Fourier transforms, if existed, we deduce mathematically all the principles and hypothesis that illustrated physicists utilized to bu
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9e3cfca17daca5170177e6a57ff88b18
https://doi.org/10.4236/am.2019.1011064
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8
The Powers Sums, Bernoulli Numbers, Bernoulli Polynomials Rethinked
Autor: Do Tan Si
Publikováno v: Applied Mathematics. 10:100-112
Utilizing translation operators we get the powers sums on arithmetic progressions and the Bernoulli polynomials of order munder the form of differential operators acting on monomials. It follows that (d/dn-d/dz) applied on a power sum has a meaning a
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::828650f1c32a24abc6419e14e2d15585
https://doi.org/10.4236/am.2019.103009
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