Open AccessINCOMPLETE BESSEL POLYNOMIALS: A NEW CLASS OF SPECIAL POLYNOMIALS FOR ELECTROMAGNETICS
Author(s) -
Diego Caratelli,
Galina Babur,
Alexander A. Shibelgut,
Oleg V. Stukach
Publication year - 2015
Publication title -
progress in electromagnetics research m
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.216
H-Index - 31
ISSN - 1937-8726
DOI - 10.2528/pierm14123104
Subject(s) - bessel function , bessel polynomials , class (philosophy) , mathematics , electromagnetics , classical orthogonal polynomials , orthogonal polynomials , discrete orthogonal polynomials , gegenbauer polynomials , difference polynomials , algebra over a field , pure mathematics , computer science , mathematical analysis , physics , artificial intelligence , engineering physics
A new class of incomplete Bessel polynomials is introduced, and its application to the solution of electromagnetic problems regarding transient wave radiation phenomena in truncated spherical structures is discussed. The general definition and main analytical properties of said special functions are provided. The definition is such that the interrelationships between the incomplete polynomials parallel, as far as it is feasible, those for canonical Bessel polynomials.
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