Zobrazeno 1 - 10
of 21
pro vyhledávání: '"M. R. Martinelli"'
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2012 (2012)
By using the integral transform method, we introduce some non-Sheffer polynomial sets. Furthermore, we show how to compute the connection coefficients for particular expressions of Appell polynomials.
Externí odkaz:
https://doaj.org/article/40c1821577da47a4ab127b7fee504ca3
Publikováno v:
Mathematics; Volume 9; Issue 21; Pages: 2664
Mathematics, Vol 9, Iss 2664, p 2664 (2021)
Mathematics, Vol 9, Iss 2664, p 2664 (2021)
The use of non-standard calculus means have been proven to be extremely powerful for studying old and new properties of special functions and polynomials. These methods have helped to frame either elementary and special functions within the same logi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d5123df6b3d8a2982ef70c25dec1a5d
http://hdl.handle.net/20.500.12079/61111
http://hdl.handle.net/20.500.12079/61111
Publikováno v:
International Mathematical Forum. 12:531-551
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7849f990716563f009e1a6ef471a264b
https://doi.org/10.12988/imf.2017.6789
https://doi.org/10.12988/imf.2017.6789
Publikováno v:
Applied Mathematics Letters. 26:351-354
We use the operator method to evaluate a class of integrals involving Bessel or Bessel-type functions. The technique we propose is based on the formal reduction of these family of functions to Gaussians.
4 pages
4 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::51c9692561a5e810877f727a82aa6706
https://doi.org/10.1016/j.aml.2012.10.003
https://doi.org/10.1016/j.aml.2012.10.003
Publikováno v:
Axioms, Vol 7, Iss 3, p 62 (2018)
Axioms
Volume 7
Issue 3
Axioms
Volume 7
Issue 3
The theory of harmonic based function is discussed here within the framework of umbral operational methods. We derive a number of results based on elementary notions relying on the properties of Gaussian integrals.
6 pages
6 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c657b4fa9027612be0cd8d0e2b67ae4a
http://hdl.handle.net/11573/1021834
http://hdl.handle.net/11573/1021834
Publikováno v:
Pure Mathematical Sciences. 2:147-152
The Hermite polynomials can be defined through a second order differential equation with non constant coefficients, admitting two solutions one of which of non polynomial nature. The properties of this solution are studied here using an algebraic for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::de4f70737c5b2021642e57f5caf354f8
https://doi.org/10.12988/pms.2013.13018
https://doi.org/10.12988/pms.2013.13018
Publikováno v:
Mathematical and Computer Modelling. 54(1-2):80-87
We reformulate the theory of Legendre polynomials using the method of integral transforms, which allow us to express them in terms of Hermite polynomials. We show that this allows a self consistent point of view to their relevant properties and the p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b216801a6dd805152e47b58b726c661
Autor:
B. Germano, M. R. Martinelli
Publikováno v:
Mathematical and Computer Modelling. 53(5-6):964-969
We introduce two possible generalizations of the classical Blissard problem and we show how to solve them by using the second order and multi-dimensional Bell polynomials, whose most important properties are recalled.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8a9ccf9e4badb3caeb74c8e87efb5959
Publikováno v:
Mathematical and Computer Modelling. 50:1332-1337
We show that the combination of the formalism underlying the principle of monomiality and of methods of an algebraic nature allows the solution of different families of partial differential equations. Here we use different realizations of the Heisenb
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ad4c397181c2724f4fc364c736eabd7b
https://doi.org/10.1016/j.mcm.2009.06.013
https://doi.org/10.1016/j.mcm.2009.06.013
Publikováno v:
Mathematical and Computer Modelling. 47(9-10):887-893
We combine the Lie algebraic methods and the technicalities associated with the monomialty principle to obtain new results concerning Legendre polynomial expansions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bcd3f753832661c3e1444a4a36387652