Incomplete Bessel Polynomials: A New Class of Special Polynomials for Electromagnetics

被引：7

作者：

Caratelli, Diego ^{[1
,2
]}

Babur, Galina ^{[3
]}

Shibelgut, Alexander ^{[3
]}

Stukach, Oleg ^{[2
]}

机构：

[1] Antenna Co Nederland BV, Grebbeweg 111, NL-3911 AV Rhenen, Netherlands

[2] Tomsk Polytech Univ, Tomsk 634050, Russia

[3] Tomsk State Univ Control Syst & Radio Elect, Tomsk 634050, Russia

来源：

PROGRESS IN ELECTROMAGNETICS RESEARCH M | 2015年 / 41卷

关键词：

D O I：

10.2528/PIERM14123104

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

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.

引用

页码：85 / 93

页数：9

共 14 条

[1] Abramowitz M., 1962, HDB MATH FUNCTIONS
[2] Andrews G., 2001, SPECIAL FUNCTIONS
[3] Analytical synthesis technique for linear uniform-amplitude sparse arrays
Caratelli, D.
Vigano, M. C.
[J]. RADIO SCIENCE, 2011, 46
[4] Caratelli D., 2010, P 20 INT S EL THEOR, P289
[5] Accurate Time-Domain Modeling of Reconfigurable Antenna Sensors for Non-Invasive Melanoma Skin Cancer Detection
Caratelli, Diego
Massaro, Alessandro
Cingolani, Roberto
Yarovoy, Alexander G.
[J]. IEEE SENSORS JOURNAL, 2012, 12 (03) : 635 - 643
[6] Unified Time- and Frequency-Domain Approach for Accurate Modeling of Electromagnetic Radiation Processes in Ultrawideband Antennas
Caratelli, Diego
Yarovoy, Alexander
[J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2010, 58 (10) : 3239 - 3255
[7] Incomplete Hankel and modified Bessel functions: A class of special functions for electromagnetic
Cicchetti, R
Faraone, A
[J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2004, 52 (12) : 3373 - 3389
[8] GROSSWALD E, 1978, LECT NOTES MATH
[9] A NEW CLASS OF ORTHOGONAL POLYNOMIALS - THE BESSEL POLYNOMIALS
KRALL, HL
FRINK, O
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1949, 65 (JAN) : 100 - 115
[10] Luke Y.L., 1969, SPECIAL FUNCTIONS TH, V1

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