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Incomplete Anger‐Weber Functions: A Class of Special Functions for Electromagnetics
Author(s) -
Caratelli Diego
Publication year - 2019
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/2018rs006750
Subject(s) - electromagnetics , class (philosophy) , anger , mathematics , electromagnetism , computational electromagnetics , special functions , algebra over a field , calculus (dental) , mathematical analysis , pure mathematics , electromagnetic field , computer science , physics , artificial intelligence , engineering , electronic engineering , medicine , psychology , dentistry , quantum mechanics , psychiatry
A novel class of special functions for electromagnetics is presented. Formed by the incomplete Anger‐Weber functions, this class conveniently allows solving electromagnetic problems involving truncated circular electromagnetic structures. The definition of these functions is here introduced, and the relevant analytical properties are derived. The definition is such that the interrelationships between the incomplete functions parallel, as far as is feasible, those for canonical Anger‐Weber functions.